diff --git "a/data/dm_maths/full_data/1315_11255.jsonl" "b/data/dm_maths/full_data/1315_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1315_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of sequence hvb when three letters picked without replacement from {i: 2, h: 4, b: 3, j: 1, v: 1, u: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1537 - 1485 = -13*m. Is m < 680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - w + 3*w)*(-3*w + 2*w - 3*w)*(w - 7*w - 11*w) as n + l*w + x*w**3 + g*w**2 and give x.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 6*u**2 - 8*u + 1. Let a be l(-7). Suppose -19 = -a*t + 13. What is the third derivative of y**3 + 3*y**3 - 17*y**4 - t*y**3 - 12*y**2 wrt y?\nAnswer: -408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14282 + -14282.2. Let j be (-2 + (-1)\/(-2))*-14. Sort j, d, 4, -2\/3 in increasing order.\nAnswer: -2\/3, d, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + i + 2, -6*h + 8 = -3*h - 4*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r - 13. Let x be w(-6). Suppose -3*y - 5*j + 233 = -22, 0 = y - 5*j - 65. What is the highest common divisor of y and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 15*h**2 + 12*h + 23. What is u(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/15 and -62\/15195.\nAnswer: 15195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 5:56 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(39)\/sqrt(3) + -5).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = 4*c. Let a(m) = -3*m + 4 + 6*m**2 + 0*m - m**2 + 13*m**3 - 12*m**3. What are the prime factors of a(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 + 31 - -30) + -8 - (0 + -52 + 3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5187 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20322 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 take away 3262338.669?\nAnswer: -3262085.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44092, -8, 10, -2\/5.\nAnswer: -44092, -8, -2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182968.\nAnswer: 2, 3, 30319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-7 - -3) - -7. What is the greatest common divisor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 5*v + 8*x - 317, 4*x + 199 = 3*v. Suppose -5*c + 121 = v. Calculate the smallest common multiple of c and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 1. Let l be u(0). Let p = 10 - l. Solve 3*x - 7*b = -2*b - 27, 3*b - p = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvkkvvvv. Give prob of sequence vv.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b6 (base 12) to base 6.\nAnswer: -30350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlr when three letters picked without replacement from rjvjl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -14 + -4 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -248*v + 42 - 42 - 8 as p + h*v and give h.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -915, -2151, -4015, -6585, -9939, -14155, -19311?\nAnswer: -25485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/44*117\/(7371\/(-693))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 7*x - 787. Let s = x + -149. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, 2 in ascending order.\nAnswer: -3, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -4*a - 2*a**2 - 2\/3*a**3 + 1\/12*a**4 + 0. Let r be i(5). What is the nearest to -0.1 in 0.4, r, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7352 + -2?\nAnswer: 7350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66876963.\nAnswer: 3, 17, 347, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -30?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17671 times -0.744\nAnswer: 13147.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-434)\/(-294) + -11)*(-6)\/32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315485 divided by 6.\nAnswer: 315485\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-10))\/((-6)\/(-20)). Solve -5*u = -b*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, e: 13}. What is prob of sequence ggge?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, -7, 2, 4.\nAnswer: -7, -3, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:51 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -47*s**2 + 5*s - 1. Determine l(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005037652 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -26*r + 2. Let j = 22 + -16. Let c = j - 7. List the prime factors of m(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 27416.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17377588.03 to the nearest 10000.\nAnswer: -17380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -396897 + 2371687\/6. Let z = 46567\/30 + v. Let b = -63 - z. Calculate the common denominator of b and -7\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-7*m + 0*m - 3*m)*(-15*m**3 - 17*m**3 + 4*m**3).\nAnswer: -560*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -369587 + 0.6\nAnswer: -369586.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -4, 17892, -2\/135 in decreasing order.\nAnswer: 17892, 79, -2\/135, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 6*x - 5, 0 = 24*x - 26*x + 2*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfnlfflanlfaalanln. What is prob of sequence ll?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (18 + (15 - (3 - (-9 + -1))))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13250 + 13241 - 3*x + 13*x. Let b(m) = 5*m - 4. Calculate 7*b(a) - 3*g(a).\nAnswer: 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715074.7 micrograms to milligrams.\nAnswer: 715.0747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*o + 548*o - 214 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i**2 - 8*i - 27. Suppose -255 = 2*y - 245. What are the prime factors of u(y)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4)\/v*v)**(-34)*(v*v**(2\/5)*v)\/(((v*v**(1\/2)\/v*v)\/v)\/v))\/((v\/((v\/v**(1\/14))\/v))\/v*v**(2\/29))**(-16\/9) assuming v is positive.\nAnswer: v**(35473\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321 + -1031221?\nAnswer: -1030300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28674379831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -220365?\nAnswer: -4\/220365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436 and 32809?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336902473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1455\/4 + 363. Which is the closest to 16? (a) l (b) -0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 796213505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 1, 0.06?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*l**2*y**2 - 2*l**2 - 3*y**4 - 218 with respect to y.\nAnswer: 46*l**2*y - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rccrcfr. What is prob of sequence rc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5814 = -v, 4*v - 28384 = -2*n - 5128. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-190)\/16 + -2. Let c = l - -799\/72. Suppose 0 = 3*p - 4*o + 3, 0 = p + 2*o - o + 1. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c + 0*c)*(1 + 0*c - 4 + c).\nAnswer: 2*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5919653656.\nAnswer: 2, 7, 105708101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -750?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 421 - 413. What is the third derivative of 169*z + 0*z**2 - 158*z + 4*z**4 - p*z**4 + 9*z**3 - z**2 wrt z?\nAnswer: -96*z + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1, 0.25, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9. Suppose -x - 5*t + t = -16, g = -5*x + 4*t + 32. Let m(h) = 2*h + 11. What are the prime factors of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4 - 298*b**3 - 11244*b**2 - 10360*b + 21904 = 0.\nAnswer: -74, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f + 3*n + 3, -5*n + 9 = -2*f. Let b = f - -7. Let i(d) = 12*d**2 + d + 2. Is i(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20 - -8)*1\/2. Suppose -h*f + 10*f + 44 = 0. Suppose -2*m = f + 7. Let d(j) = j**3 + 9*j**2 - j - 13. Give d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 6) to base 2\nAnswer: -100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.27, 2\/337, -1.3, -2?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 382886*b**2*u**3 - 2*b**2*u**2 + 14*b**2 + 34*b*u wrt u.\nAnswer: 2297316*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024042 rounded to five decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:30 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 = -4*y - q, 2*q = -4. Suppose 0*c = -2*c + 4. Does c = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1419.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = -39 + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11443, -11535, -11629, -11725, -11823?\n\"Answer: -g**2 - 89*g - 11353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - -7.17. Let w = h + -7.066. Let p = -6.134 + w. Round p to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**3 - s + 17*s**3 + 5*s**3 + 11 - 4*s**3 + 2*s to the form k + j*s + m*s**2 + c*s**3 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*g - 7*g - 1203068 + 213468 = 0. List the prime factors of g.\nAnswer: 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-20)*6\/((-108)\/(-5825)). Let d = c - -250\/9. Let o = -29793\/20 - -1490. Find the common denominator of o and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3836670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -0.22. Suppose -5*v = -3*v + 8, 5*v + 8 = 4*s. Let d be (0 - s) + 60\/(-8). Sort j, d, 4\/7 in decreasing order.\nAnswer: 4\/7, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352 = 2*h - s, -5*h - 3*s + 2*s + 3387 = 0. Let w = h - 340. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - h - 97, -5*x - 2712 = -0*x - 16*h - 2269 for x.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -15*t**3 - t**2 + 1. Let o be (-1)\/(-1)*(-12 - -11). What is the tens digit of a(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*y - 229*y + 199*y.\nAnswer: -288*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1685597 times -0.2\nAnswer: 0.03371194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2371, 2372, 2371, 2368, 2363, 2356, 2347?\n\"Answer: -h**2 + 4*h + 2368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n + 911. Let i(z) = 3*z - 453. Calculate 5*i(y) + 2*k(y).\nAnswer: y - 443","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-15)*30\/4)\/(62\/1612). Calculate the greatest common divisor of 1625 and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29211 - 4317. What are the prime factors of h?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 9*v**2 - v - 4. Let r be n(-9). Let w be (-2)\/r + 4\/10. What is the units digit of (-2 + -5)*(w + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (-10 - (-17 + -4 + 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -2.4 (b) -464 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -7, 74 in descending order.\nAnswer: 74, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10 - b**2 - 115*b**3 + 2 + 116*b**3. Give t(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.08 (b) 409\/2 (c) -3 (d) 3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2\/11, 2\/5, -18 in descending order.\nAnswer: 25, 2\/5, 2\/11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.3. Let t(m) = m + 2. Let h be t(0). Let g be (1 - 1) + (-1)\/3. Which is the nearest to 1? (a) g (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - d. Let i be 6*(d - (-4)\/(-6)). Sort i, -2, 0 in increasing order.\nAnswer: -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101.9 or 17.578?\nAnswer: -101.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 5 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 1. Let a be p(1). Suppose 0 = a*g - 5*g + 117. Suppose -4*b + b = -g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 - -32103202?\nAnswer: 32110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8234 + 8246. What is the closest to a in 5, 3, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10152.69kg to grams.\nAnswer: 10152690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, s: 7, p: 2, l: 1, c: 1}. What is prob of sequence up?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*n + 9, 4*n + 58 = 3*q + 98. Let t = -0.35 - 0.05. Let h = -9 + 9.1. Which is the nearest to -0.1? (a) t (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 + (0 - -10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -628\/3 - -8158\/39. What is the nearest to 93\/5 in x, -2\/5, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4040870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -6*o - 0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = 17*f - 81 + 168 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**2 + 30055*h - 90210 = 0.\nAnswer: -6014, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (131376\/(-57))\/(-4) - -2. Let v = 1248 - 670. Let w = q - v. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/14)\/((45\/(-330))\/((-1)\/22)).\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343940420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**4 - 64340*o**3 + o + 294888 wrt o?\nAnswer: 8*o**3 - 193020*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 170. Let u = 456 + g. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.7 + -12086.\nAnswer: -12078.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.63, 1\/3, 3\/5, 12\/25?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 60 = -2*g, -93*a = -88*a + 4*g + 185 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.3 + 14.3. Sort -4, w, -3\/5 in decreasing order.\nAnswer: w, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 + q + 1. Let k be -4 - 1\/(-2)*2. Calculate the remainder when m(k) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 30.5. Round y to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11 + 11*z**5 + 5 - 16 - 35*z wrt z?\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*h = 9487 - 133475. Calculate the remainder when 1669 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*y + 7. Let z(q) = q - 2. Let n be z(y). Let l(f) = -f**3 - 6*f**2 - 4*f + 3. What are the prime factors of l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(sqrt(500) + -4 + -4 - (-1 + 5*sqrt(500))))**2.\nAnswer: 2240*sqrt(5) + 32196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.6 or 683?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*((sqrt(162) - sqrt(162)*-2) + 3 + sqrt(162)))**2.\nAnswer: 1944*sqrt(2) + 23413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -238*q**3 + 7*q**2 + 8*q. Let r(d) = -479*d**3 + 16*d**2 + 18*d - 1. Calculate -9*c(v) + 4*r(v).\nAnswer: 226*v**3 + v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730572174.\nAnswer: 2, 3, 73, 613, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3*4\/42). Let h = o + -11. Let t = h + 55. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - 10 = 0. What is the common denominator of 7\/2 - (-3)\/z and -32\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445605?\nAnswer: 5, 7, 103, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-60))\/((-2)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v. Let w(p) = 359657*p. Give o(w(t)).\nAnswer: 1078971*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1044 and 17\/13398?\nAnswer: 80388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 56 = 5*g - 0*y, -2*g - 2*y + 26 = 0. Let o = 3 + 8. Is g at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 5, 0.1, 18, 0.4, -26\/7, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-20))\/(572\/(-208))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 2*q**2 + q**2 + (-5*q + 0*q + 3*q)*(-4*q + 0*q + 3*q) + 0*q**2 - 8 + 7 + q**2.\nAnswer: 5*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + 2064. Suppose 3*w + z - h = 0, 4*w - 2820 = -48*z + 44*z. Is 78 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 7:20 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + (sqrt(720) + 1 + sqrt(720))**2*5.\nAnswer: 252*sqrt(5) + 14405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwee when four letters picked without replacement from ewweeeemmmmmeme?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from yzyzzdzezzyyyzzezy.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 91*b**3 - 4*b**2 + 4*b - 4. Is p(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78978940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*5*(-421)\/(-421)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43502?\nAnswer: 2, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*d - 137. Let w(o) = 10*o + 185. Does 2 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 4, -16085?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -46 - 14. Suppose -4*c + j + 3*j - 12 = 0, 0 = 2*c + 4*j - w. Which is greater: c or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123583385 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/4)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -624 + 626. Let 5*x**2 - 27*x**3 + 14*x**2 + 7 + 17 + 56*x**n + x**4 + 3*x - 76*x = 0. Calculate x.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 3*d + 3*d**2 + 8*d - 13*d. Let s(h) = -10*h**2 - 11. Calculate s(f(q)).\nAnswer: -90*q**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14451491 + 13583002?\nAnswer: -868489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23581 = 3832*o + 76716 + 157625 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.74943643 and -0.06?\nAnswer: -0.0449661858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2102 + 2116. Solve -3*p = x - b, 2*p = -2*x + p + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p. Let d be u(3). Suppose -2*a + 14 = -5*j, 3*a + 1 = 7. What is the units digit of (-2)\/((d\/(-21))\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80931 and 1018?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-4\/11)*t**0*t*t**(2\/23)*t**(2\/9) assuming t is positive.\nAnswer: t**(6086\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q. Let c = 6 - 1. Let h be (3 + -2)*(0 + 2). Solve -c*p + 16 = h*n, -22 = -q*p - 5*p + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -430 divided by 430\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0196*-6\nAnswer: -0.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 441*z - 31. What is the tens digit of h(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1267925632 + 0.3.\nAnswer: -1267925631.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h = 41713 - 25557 - 138396. Is 62 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g + 4. Let u = g + -1. Find the second derivative of w**3 - 3*w**u + 2*w + 2*w - w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -38. Let w = 35 + n. Let g(u) = 6*u - 24. Let v(i) = 1. Calculate w*v(z) + g(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1360? (a) 0 (b) 5 (c) 133 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7241, -7481, -7879, -8435?\nAnswer: -9149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-42)\/3)\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 3*l**2 + 7*l + l**2 - 135*l - 41*l - 128*l.\nAnswer: l**2 - 297*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -0.5 (b) 0.1 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, -6872803?\nAnswer: -6872803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602050 is divided by 62?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.17 + -31. Let k = -16.63 - b. Let l = k - -13.8. What is the second biggest value in 8, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 + 148. What is the closest to c in -23, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o. Suppose -5*i = -5*n - 45, o = -4*i - n + 13 - 2. Suppose -4*z - 3 - 7 = -3*d, -i*d + 34 = 5*z. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 44 = 9. Does 14 divide (4\/w)\/((-15)\/(-4725))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 5, u: 1}. What is prob of sequence mu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77 in -6, -4\/7, -2, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927985871.\nAnswer: 927985871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/x**(-7)))\/x)\/(x**(1\/3)\/x)*x**(-10)*x*x**(-6\/13)*x assuming x is positive.\nAnswer: x**(-577\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16 to three decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let r(a) be the first derivative of 10*a**3\/3 + 1. Let t be ((-4)\/14)\/(8\/56). Let q(d) = t*r(d) - 18*p(d). Let y(n) = -2*n. Calculate y(q(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20188*f**3*h**2 - 19*f*h + 1327*h**2 wrt f.\nAnswer: 121128*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**6\/60 - i**5\/20 + i**3\/6 - i**2\/4 + i - 1. Let k(p) be the first derivative of q(p). Find n, given that k(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - 79. Which is the biggest value? (a) -0.08 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -385 - 527. Let s = d + -123. Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/6 - 4929\/1166\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - 260\/665. Let u = 14 + -35. Let o be 2\/7 + (-22)\/u. Which is the nearest to 0.1? (a) o (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + 3 + (sqrt(272) - (sqrt(272) + sqrt(272) + -2*sqrt(272) - sqrt(272))) + 1*sqrt(272)*4 + -2)**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 4*o. Let y(g) = g**2 + g. Let n(v) = -d(v) + 4*y(v). Let s(b) = -3*b**2. What is n(s(r))?\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 23*d + 27*d - 1200 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -190. Suppose 0 = -2*g - 8 + 14. Suppose 0*v + 12 = g*v. Sort v, -5, 2, q in decreasing order.\nAnswer: v, q, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/7, -18.3, -3, 0.011, -1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b. Suppose -7*d + 2*d - 10 = b. Let j(c) = 4*c**2 + 2*c - 1. Calculate the smallest common multiple of 2 and j(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 - -9 - (-40 + (-18 - -26) - -4)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115.52 - 115.22. Put l, 65, -45 in increasing order.\nAnswer: -45, l, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, 182, 301, 466, 695, 1006, 1417, 1946?\n\"Answer: 3*c**3 - 4*c**2 + 82*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s. Let y(j) = 14*j + 49*j - 40*j + 3. What is y(g(r))?\nAnswer: 115*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t*t**(-2\/15)))**(-45)\/((t**(3\/5)\/(t**0\/t))\/(((t\/t**0)\/t)\/t)**(1\/2)) assuming t is positive.\nAnswer: t**(-531\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -2*o + 2, -5*o = -r - 6. Suppose -32 = -r*z - 12. Suppose z*v - 46 = -4*g, -3*g + v + 18 = -7. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v - 195 = -55*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -7\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + -0.123?\nAnswer: 117.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 5. Let t be u(9). Suppose 15 = 5*r - 3*o - 2*o, -12*r + 4*o = 12. Put 1, t, r in descending order.\nAnswer: t, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30695911?\nAnswer: 30695911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5\/3, 3248\/25 in ascending order.\nAnswer: -5\/3, 0.5, 3248\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10260 + 1?\nAnswer: -10256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1694, 3389, 5084, 6779, 8474, 10169?\n\"Answer: 1695*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1345 in 0.1, -46, 1\/14, 0?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*p**4 - 2195*p**3 + 107403 wrt p.\nAnswer: -40*p**3 - 6585*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s - 1. Let w(z) be the first derivative of 2*z**3\/3 - z**2\/2 - z + 188. Let b(g) = -g**2 - 1. Calculate s*b(t) - w(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/224 and -58\/36057.\nAnswer: 1153824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160441.8mm in nanometers?\nAnswer: 160441800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -2709499?\nAnswer: 2709496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5270*g*z**4 + 318*g*z**2 + 78*g*z - 12*z**4 + 99*z**3 - 1076*z**2 wrt z.\nAnswer: 126480*g*z - 288*z + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*a = 25, 25 = -7*a + 2*a. Let x be (u - 9\/(-3))*(-7)\/(-1). Suppose -4*z + 8 = -q, 3*z + x*q - 29 = 2*q. Solve -p = -0*p - z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5383?\nAnswer: 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 3*k = 28. Suppose 10*t - 9*t = k. What is the remainder when 25 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -17*k - 7. Suppose -d = -1 + 2. Let y be 20\/6*d*3. Is h(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:43 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (597 + -638 + -20 + 0 - -4).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6360 and 256.\nAnswer: 203520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 5430500?\nAnswer: -5430453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14972*l**2 - 25928*l**2 + 2*l + 10087*l**2 + 0 - 1.\nAnswer: -30813*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153)*3 + sqrt(153))*4 + sqrt(153) + -4*-2*sqrt(153))\/(sqrt(9) - (sqrt(108)*1)\/sqrt(12) - 1*sqrt(576)))**2.\nAnswer: 2873\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602 is divided by (-2 - 1 - -86) + 30 + -43?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 410*x**3 - 7965*x**2 - 18900*x + 26460.\nAnswer: -5*(x - 42)**2*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 460 or 0.022081?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115.9 - 90. Let l = j - 26. Let m = 521 + -516. Which is the second biggest value? (a) l (b) -5\/4 (c) m (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002341747741 to seven dps.\nAnswer: -0.0002342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 102. Calculate the remainder when c(-9) is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k - 1. Let v(r) = 16*r. Give v(p(z)).\nAnswer: -176*z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 12*b + 52. Determine j(12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -550.6 * -7\nAnswer: 3854.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = 4*z, -2*f + 15 = -3*z - 0*f. Put -1, z, -9, 5 in descending order.\nAnswer: 5, -1, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = -8*w. Let k(j) = -3*j**3 + j**2 + j - 2. Let n be k(w). Suppose -f + n = -3*y - 0*y, 4*f - 4*y - 112 = 0. 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 the remainder when 75 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**2\/5 - 59967058*s + 74958822\/5.\nAnswer: 2*(s - 37479411)*(4*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**14*n**(-2\/73) assuming n is positive.\nAnswer: n**(1020\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 250, 401, 572, 769, 998, 1265, 1576?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11339774 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40.1*-23\nAnswer: 922.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -714, -706, -686, -648, -586, -494, -366, -196?\n\"Answer: q**3 + q - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/4 + 1\/4. Let r be (w + -2)\/((-4)\/2). Solve -o - o = r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(-10)\/4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102154 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9\/(-6))\/((-385)\/2002)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*o**5 - 27*o**5 + 155*o - 155*o - o**6 + 10*o**5 + 535*o**2 wrt o.\nAnswer: -120*o**3 + 7620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*z = -40, 3*z + 15 = -1492*t + 1494*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 217*p + 9078. What is u(-58)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 6*v - v + 30, 0 = -m + 4*v - 18 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39679282?\nAnswer: 2, 43, 223, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99) - sqrt(132)\/(sqrt(48)\/sqrt(4)))*4.\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 14*u + 107 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268027 + 0.07.\nAnswer: 268027.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 303300 + -1501?\nAnswer: 301355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 1177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/277 or 0.21?\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {u: 7, j: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -298838 (base 13) to base 15\nAnswer: -151c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 + u**3 - 12*u**2 - 33*u - 7433. Calculate l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-6.2\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965896831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*d + 133 = -0*d, 107 = 4*r + 3*d. Suppose 0 = -5*l + 4*l + r. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.175 - -70.825. Let w = 28 - d. Let r = 43.0062 + w. What is r rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244861.0600174 - -244861. Let u = -0.0597 - z. What is u rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2836930728 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Suppose 10*z - j*z = 15. Solve 2*x - z = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1727736 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12102*z - 277 + 380 = -11955*z - 2249 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -907010, -907400, -907788, -908174, -908558?\nAnswer: -908940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + a + 9 + 86 = 4*x, 9*x - 265 = -a for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -109*d**3 + 2*d**2 + 2*d + 2. Calculate the remainder when y(-1) is divided by 3\/(-9) - 140\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9193175?\nAnswer: 5, 17, 97, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = n + 7, -f + 27 = -2*n. Let z(b) = -10*b**3 - 2*b**2 + b. Let u be z(-3). Let r = 295 - u. Calculate the highest common factor of f and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*h**4 - 326*h**3 + 32*h**2 - h + 59 wrt h?\nAnswer: 360*h - 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9801352263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4665.3 - -4665. Which is the closest to 2\/19? (a) -76 (b) o (c) 0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -25. Let o = c - 52. Let i = -14 - o. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*i + 4*i - 4, -2*i + 4 = 5*b. Suppose -2*m + 8 = -b*m. Let q = m - -13. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*w**3 + 84*w**3 + 163*w**3.\nAnswer: 204*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (405 + 485 - 741)*(-k + 4*k - 2*k) + (3 - 3 + 1 + (-4 + 4 - 2)*(3 - 1 - 1))*(3*k - 3*k - k) - 4*k + 2*k + 3*k.\nAnswer: 151*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose 7 + 2 = j*n. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -768386, -768383, -768380, -768377, -768374?\nAnswer: -768371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3348 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 88 = y. Let v be (-3)\/(-12) + y\/8. Suppose -2*i = 3*n + 8, v*n - 8*n - 12 = 4*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 14*d - 88400000 = 0. Round d to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8 + 7 - 5 - w. Let q(g) = -9*g**2 + 155*g - 25. Let b be q(17). Give n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127430 by 126.\nAnswer: -63715\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 145615 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 267*k**4 + 296.\nAnswer: 1068*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.12 - 20\nAnswer: -13.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1088.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77983)\/(-11) + (-24 + 0)\/(-6). Let c = 7098 - n. Find the common denominator of c and -43\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 21415 (c) -1.4 (d) 1\/3 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 0.08362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-35)\/56)\/(((-2665)\/20)\/(-13))).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -88 (b) -4 (c) 2\/3 (d) 55 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377310 is divided by 225?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -7.6, 2\/17, -35?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 + 3 - 2) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, 373, 1024, 1619, 2140, 2569, 2888?\nAnswer: 3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.053005 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.53 - 2.52561. Let k = v - 212.10439. Round k to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 170?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2 - 3 - 2 - 3*g + 5*g. What is the units digit of z(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/4)\/h)\/h**(-1\/2))\/(h**3\/h*h**(-2)))\/(h\/(h*h**(-2\/5)\/h*h*h)*h*h**(1\/5)*h*h*h*((h*(h\/((h\/(h**0*h))\/h)*h)\/h)\/h)**(-11)) assuming h is positive.\nAnswer: h**(353\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 1 + 15. Let a(p) = -7*p**2 + 20*p + 34. Let z(w) = 3*w**2 - 10*w - 14. Let l(h) = -2*a(h) - 5*z(h). List the prime factors of l(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(132)\/(sqrt(48)\/sqrt(4)) - 1*(sqrt(11) + -1)**2).\nAnswer: -8 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 + 19 - 7*d**3 - 3*d**4 - 7 + 9 + 16 - d wrt d?\nAnswer: -36*d**2 - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -64*g**2 - 12*g + 1\/80*g**5 + 8*g**3 - 1\/2*g**4 + 0. Factor x(v).\nAnswer: (v - 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1428 from -62899.\nAnswer: -61471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -8.1. Let f = x + -0.2. Are f and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(637) + (6*(sqrt(637) + sqrt(637)*6 - sqrt(637)))**2)*3*6.\nAnswer: -630*sqrt(13) + 14859936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 268, -132, 2 in increasing order.\nAnswer: -132, 1\/3, 2, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -10*p + 472. Suppose s - 9 + 0 = 0. Let w = p - s. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -1533.\nAnswer: 16\/1533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18314582?\nAnswer: 2, 11, 13, 64037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 951*d - 951*d - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (9 + 29) - -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3 + 65064*u**2 + 1235562*u + 2210884 = 0.\nAnswer: -32513, -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7118 + -7095. What is the remainder when 3745 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = -141. Let c = 50 - s. What is the remainder when c is divided by 1\/2 - (-5)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8853 + -8851. Which is the nearest to j? (a) 2\/17 (b) 144\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45621 rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:18 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(170)*2*6*-3*-1)\/((sqrt(60)\/sqrt(6) - sqrt(10) - sqrt(10))*4 - -2*(sqrt(10) + (sqrt(10) - sqrt(10)*3) + sqrt(10))) + -1.\nAnswer: -18*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = -7. Suppose 5*k + 5*l + 25 = 0, k + 2*l = j*l + 3. Which is the closest to 0.1? (a) 0 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 7\/224831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287281.\nAnswer: 287281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-28) - 18\/35. Which is the second smallest value? (a) y (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -126?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2b49c (base 14) to base 11\nAnswer: -74106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 12*s - 2*s + 6*s + 7*s + (-10*s + s - 6*s)*(-98 - 6 + 25) in the form u + r*s and give r.\nAnswer: 1187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18 - 21 - 2*(-10)\/4. Suppose -h*p + 24 = 282. Let d = -84 - p. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 (base 11) to base 12\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxxrxxxxrx?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -43. Let n = -4 + 3.9. Let c = 41\/3 - 14. What is the closest to 0 in c, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 13*s + 4. Let l be h(13). Suppose b - l*b + 7515 = -2*u, -12521 = -5*b + 2*u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2027 + -1239. Calculate the remainder when r is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.1801 weeks in seconds?\nAnswer: 505721724.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2131110323 (base 4) to base 13.\nAnswer: 197411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1431900 divided by 36.\nAnswer: 39775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604472.\nAnswer: 2, 11, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*s + 51. Suppose -2*f = -4*v, 10 = 5*v - 0*v. What is the highest common divisor of f and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172 - 360 + 58 - 112 + 55*d - 262*d with respect to d.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)*i**(4\/5)*(i**(-1)*i)**(-10))**(-29) assuming i is positive.\nAnswer: i**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1004166946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + s**2 + s**2 + 1168*s - 142*s.\nAnswer: 2*s**2 + 1026*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.122, 3, -0.4, 4, 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 times 911\nAnswer: 40.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * 13\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3\/8 (b) -0.3 (c) -12\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/12 + 1122\/18.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**23)\/i)\/((i**35*i)\/i)*(i**32*i)\/(i*i\/(i*i**(-2\/3))*i) assuming i is positive.\nAnswer: i**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from vzzv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2469, 0.5, 0.2, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 197*t**3 + 388*t**3.\nAnswer: 585*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w - 4 + 12*w - 3. Let f be k(7). Which is the nearest to f? (a) -2 (b) -3\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 934356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**4 + 3*a**4 + 0*a**4)*(3 - 3 - 2*a) + 54*a**3 - 54*a**3 + 4*a**5 + (-4*a**2 + 4*a**2 + 3*a**2)*(-2 + 2 + a**3).\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 171 - -4?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2534236, -5068472, -7602714, -10136968, -12671240, -15205536, -17739862?\n\"Answer: -n**3 + 3*n**2 - 2534238*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 18*l**2 - 36*l + 311. Let q be g(9). What is the third smallest value in q, 1\/3, 2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = l - 11. Suppose 0*z + 5*z + 3*k = 44, -23 = -2*z - l*k. Let w = z - 5. Which is the nearest to -2? (a) -1\/9 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6\/8)\/(252\/(-56))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34251 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*v - 31*a + 35*a, 2*v - 3*a + 11 = 0. Let s(o) = -1. Let f(u) = -2*u - 5. Determine v*f(q) + 3*s(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50502486?\nAnswer: 2, 3, 8417081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19*v**4 - 3*v**3 + 18*v + 3. Let s(q) = -39*q**4 - 5*q**3 + 35*q + 5. Let k(n) = -5*g(n) + 3*s(n). What is the second derivative of k(x) wrt x?\nAnswer: -264*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidodhmeoidddhddi. Give prob of sequence edh.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*v**3 - 23\/4*v - 5\/2*v**2 - 7\/2 = 0. What is v?\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/6 - 145036*p - 31553161944 = 0.\nAnswer: -435108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 15*q + 37. Give d(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3162\/1561?\nAnswer: 3162\/1561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 652 + 488)*(2*d + 3*d - 3*d)*(-2 - 1 + 5) as g + l*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (593 - 577) + (-20)\/1 - 162\/76*-2?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x - 5*x**2 - 105*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j**5 + 216*j**4 + 1293*j**3 - 8244*j**2 + 11985*j - 5202 = 0.\nAnswer: -6, 1, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2006 is divided by 101.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461456373 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1380\/92)\/(-3*1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 25. Solve 2*x + 3*a = x + 10, -5*x - 3*a = z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2. Let d(r) be the second derivative of r**3\/3 + 10*r. Calculate d(b(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-11)\/(-33)) - 0. Let l = 1.2 - 1. What is the second biggest value in l, 1, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 91435.08 centimeters?\nAnswer: 914350.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = 2*w, 0*w - 3*j = 2*w + 3. Is -1\/92 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39906 and 265176862?\nAnswer: 265216768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4000*j = -4017*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/9)*n\/(n\/(n*n\/n**(3\/11)))*n**8*n*n**(2\/9)*n)**31 assuming n is positive.\nAnswer: n**(39401\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.049 - 1.129. Let z = y + -12.92. Is -0.1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 + 6699*t + 3231720 = 0.\nAnswer: -1528, -705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/279 + 40\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015133 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 + (-846)\/(-66). Suppose -j - w = -2*u - 3, -2 = j + 2*u. Let c be ((-4)\/j)\/((-3)\/(-9)). Solve c*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f + 5. Let w(b) = -19*b + 6. Let c(u) = 14*s(u) - 10*w(u). Determine c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 94*s + 4541. What is u(-50)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 5, 10, 2\/5, -2, 7347, -0.03?\nAnswer: 7347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - 4*c)*(4 - 2 - 3) + 85*c - 76*c + 139*c.\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266240468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 9*v - 10. Let n be p(-7). Suppose -f + n = -6*f. Let s(a) = 3*a**2 + 4*a + 2. Let g(d) = -4*d**2 - 6*d - 3. Determine f*g(i) - 7*s(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 4*p**2 - 4*p**2 + (2 + 67*p**2 - 2)*(3 - 3 + p + (-2 - 2*p + 2)*(-5 + 2 + 1)).\nAnswer: 333*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 626, 1, -6.\nAnswer: -165, -6, 1, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 51*i - 319. What is d(-44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 2. Let s(z) = 1. Let l(k) = i(k) + 3*s(k). Let j be l(4). Solve -5*q - j = -33 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 115. Suppose i*l - 88440 = 20*l. Round l to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1159, -1197, -1263, -1363, -1503?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = -0*c. Let x = -2195\/7 + 313. What is the nearest to 2 in -1\/2, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 170*x - 491 + 14779 = -78*x for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 23104 = -73446. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -26.9. Let t = 7.46 - 5.46. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 - 4 - 34*f**3 - 5.\nAnswer: -22*f**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimmxmm. What is prob of sequence immx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40178, -40189, -40214, -40259, -40330, -40433, -40574?\n\"Answer: -q**3 - q**2 - q - 40175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1308 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 + 94)*544\/(-48).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4563 and 41\/234910?\nAnswer: 6342570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 780 divided by -6\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32748685 is divided by 7090?\nAnswer: 7065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*p - 2949*p + 25385*p + 11962*p.\nAnswer: 34199*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(102) - (sqrt(102) - -3*sqrt(102))) + sqrt(102)))\/((sqrt(216) - 3*sqrt(216)) + sqrt(6) + sqrt(6)).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2246e + 231e?\nAnswer: -20150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 + 9*r**2 - 3*r - 6. Let q(u) = 14*u - 52. Let c be q(4). Give d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 divided by -3396?\nAnswer: -401\/1132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 309, 394, 467, 522, 553, 554?\n\"Answer: -h**3 + 92*h + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 19 - 70)*(3*h**3 + h**3 + 0*h**3).\nAnswer: -208*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/58497?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -216, -497, -778, -1059?\n\"Answer: -281*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593 is divided by 839.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/6 + 33*u. Let a(r) = -156*r. Calculate x(a(z)).\nAnswer: 48672*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*a + 2*a. Let d = a - -27. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -204*k + 3630. Calculate the remainder when j(17) is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/7, -30, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyayauyyuuaayyaaayau. Give prob of sequence yy.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 134*d - 2. Let k(p) = p - 2. Let f be k(3). What are the prime factors of y(f)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (566\/8)\/(8\/32). Let i = -263 - b. Solve 5*r = r - i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 15, p: 5}. What is prob of picking 2 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -6ba29?\nAnswer: 6ba23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (25\/(-100))\/(1\/(-16)). Suppose -4*j + 5*s + 82816 = 0, j - r*s - 20703 = -3*s. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1000111?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8*y**(5\/7))\/(y**(2\/7))**24 assuming y is positive.\nAnswer: y**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5973*c - 22 + 34 - 8 - 4 to the form b + t*c and give t.\nAnswer: 5973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**3*h**3*m**3 - 20*b**3*h*m**3 - 6*b**2*h**3*m**2 - 2*b**2*h**2*m**2 + 3*h**2*m**3 wrt b?\nAnswer: 60*h**3*m**3 - 120*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5983 is divided by 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gngggungggnpngp. What is prob of picking 1 u and 1 g?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 12*x = 0. Suppose 33*o - 9620 - 69943 = x. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:40 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4)*(-87)\/((-20706)\/(-28))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*r - 18*r - 40. Solve 5*j + 3*f - 40 = 0, -r = j - 4*f + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuuujuju.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 2*j**2 - 2*j + 5. Give q(4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15916 divided by -46?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 527, 4285, 14473, 34301, 66979, 115717, 183725, 274213?\n\"Answer: 535*c**3 + 5*c**2 - 2*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 - 464 + 130 + 229 + 2*d.\nAnswer: 2*d + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (320128\/(-3280))\/(92\/(-115))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 26*n = 44, 3*a - 370*n + 20 = -730*n + 356*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + 2. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/525 - 3*k**6\/100 + 8*k**5\/25 - 13*k**4\/15 + 24*k**2 + k. Determine x so that p(x) = 0.\nAnswer: -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -5. Let z be (15 - 17)\/(((-6)\/(-44))\/(-3)). Let p be (-4)\/(-22) - (f - (-8)\/z). Solve -2*k = -5*y - 29, p*y + 35 = -2*y + 5*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 232, 316, 414, 532, 676, 852, 1066, 1324?\n\"Answer: k**3 + k**2 + 74*k + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636, -3271, -4906, -6541?\nAnswer: -8176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1755400*k + 7021598. Calculate s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 5*c - 5. Suppose 0*l + l - 5*z - 4 = 0, 5*z = 0. Suppose 0 = -4*k + 5*d - 5, 2*k + k + l*d = 35. Give s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*(-4)\/(-2). Suppose 2*h - 8 = -2*s, 7*s + 2*h = u*s + 10. Suppose 0 = -4*o + 4*b + 4, -3*o - 2*b + 29 = s. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(704)*-6 - ((sqrt(132) - (2*sqrt(132)*-1 + sqrt(132))) + sqrt(132))\/sqrt(3))**2.\nAnswer: 431244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32354500 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/5)\/((k**(-3)\/k)\/k)*(k\/k**(-1\/2))**(-6\/7)*(((k*k**0\/k)\/k*k)\/k*k*k)**(1\/3)\/(k**(-4)\/k**4) assuming k is positive.\nAnswer: k**(1328\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -3.47\nAnswer: -11.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s = 166 + 329 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12*s - 3. Let k be n(-3). Let m(u) = -3*u + 6. Let i be m(7). Let l = k + i. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 407*k**2 - 4*k + 5. Let c be i(1). Let n = c - 96. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6949*t + 3480*t + 23 - 23 + 3519*t.\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-4)*f))**31*(f*f*f**(2\/11)*f)\/(((f\/(f*f**14))\/f)\/f) assuming f is positive.\nAnswer: f**(1575\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2 and -29\/1370?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1435*s + 4. Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 33*o - 16 = 0. Suppose 5*f - 5*v = 80, 19*f = o*f - 2*v + 43. Solve j + 4*j - f = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 6*i + 5*i + 0*i + 165 = 39*z, 0*i + i + 45 = 4*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2750 and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -7*z**6\/15 + z**5\/2 + z**4\/3 + z. Factor g(k).\nAnswer: -2*k**2*(k - 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 0.0083\nAnswer: 0.2158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377678.\nAnswer: 2, 7, 53, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 33. Let g be f(29). Let i be 9\/7 + (-3 - (g - 7)). Factor -i*k - 6\/7 - 3\/7*k**2.\nAnswer: -3*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v**4 - 1660*v**3 - 39430*v**2 + 359900*v - 678795 = 0. What is v?\nAnswer: -59, 3, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 2.35?\nAnswer: -2.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 - (-8 + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429*j - 1186*j - 2244*j**5 - 1292*j - 112*j**5 + 146*j wrt j?\nAnswer: -47120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 + 503*t**3 + 57409*t**2 + 56905*t = 0.\nAnswer: -95, -1, 0, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 - 4*j + 4. Suppose 16 = 5*o - 9. Calculate g(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i - 2 = -3*j - 78*i, -3*i = 543*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 184\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/(-2592)*(330\/(-8))\/5.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 273023*c**2*j + 11037*c**2 + 9 wrt j.\nAnswer: 273023*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.91332 rounded to 1 dp?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901908962?\nAnswer: 2, 450954481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -439*p*v**2 - 31873465*p*v + p + 255792*v**5 - 2*v wrt v.\nAnswer: -878*p + 5115840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 - -933. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4) - (6\/3 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) - 26\/126. What is the fourth smallest value in -2\/15, -3, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1daa4 + bd?\nAnswer: -1d9e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(72) + -2.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001101 (base 2) in base 11?\nAnswer: a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -8 - (-6 - 1 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 7. Let v(f) = -f**2 - 5*f + 37. Let p be v(-9). Let x be -3 + (m - -3)\/p. Solve z - 1 = x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 9 = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Let k = -23.1 - -23. Let l be (-1)\/(-6) - (-54)\/(-36). Which is the nearest to k? (a) 5 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 263893025 and 223575?\nAnswer: 791679075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -77. What is the lowest common multiple of n and 0\/(-3) - (-3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p**2 - 3475*p - 5357. Calculate c(-266).\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/y)**(1\/7) assuming y is positive.\nAnswer: y**(-9\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/3735)\/(2\/(-5423)). Let i = -3514838\/83 + 42348. Let g = i - o. What is the common denominator of g and 13\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 549 = 10*a. Let q = a - -66. Solve -4*i - 8 = 2*k, 3*i - 3*k + 0 + 24 = q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 15 + 3)*(2 - 2 + r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -11, -139, -413, -881?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -298 in -0.2, 4, 1044, -5.7?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*i**2*j + 23*f*i**2*l - f*i*j*l + 32*f*i*j + 4*f*i - i**2*j + 17*j*l - 2 wrt l.\nAnswer: 23*f*i**2 - f*i*j + 17*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-22)\/n)\/n*n*n*n*n*n*n\/((n\/n**23)\/n)*n*n)**(-5) assuming n is positive.\nAnswer: n**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1001110111110011 (base 2) to base 12\nAnswer: 1b497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 506084?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10252.7 or 23?\nAnswer: -10252.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j. Let c be x(1). Suppose -6*p - 220 = -10*p. Suppose 3*b = -4*y - y + 9, 5*b = 5*y + p. What is the greatest common divisor of b and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2137 divided by -92.\nAnswer: -2137\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2672*c - 25060 - 40722 = -4405 + 53519 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 136*s**2 + 904*s + 83. What is u(-129)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6136 and 30775576.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 6*k - 3. Determine n(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*l - 5 = 7, 5*l = -5*f + 10. Suppose -6*z = -f*z. Solve -3*r = 2*r + 2*v + 4, 2*r - 5*v - 10 = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 51) + 5 + 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 7 - (-3 - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**5\/72 + 23*m**4\/144 + 5*m**3\/18 - 92*m**2 - 288. Let b(o) be the second derivative of p(o). Determine y so that b(y) = 0.\nAnswer: -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10284479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:51 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2956 or 1400?\nAnswer: 1400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*c - 4*c + 13 = 0, o + 2*c = 11. Suppose 171 + 96 = -2*p + 3*n, 5*n + 410 = -3*p. Let u = p + 193. What is the remainder when u is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-32))\/(1\/8). What is the fourth smallest value in g, -0.4, 5\/2, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33114474 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/286239 and 17\/763304?\nAnswer: 2289912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.52 + 0.28. Let v = 0.8 - o. Let m be (32\/3)\/(-4)*7\/(-14). Which is the biggest value? (a) v (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1402476, 1402475, 1402474, 1402473?\n\"Answer: -m + 1402477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 783001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -82183.862 rounded to the nearest ten?\nAnswer: -82180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, -2\/25, -94, -3 in decreasing order.\nAnswer: 5, 1\/5, -2\/25, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1084, -1117, -1154, -1195, -1240?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5938906289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcx when three letters picked without replacement from {c: 1, u: 2, x: 4, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z + 2 - 2 + 35*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(88) - sqrt(88))\/sqrt(8) + -4.\nAnswer: -4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 529 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 17*b**2 + 19*b + 176. Calculate j(-17).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10197 - 9666. What is the remainder when p is divided by 243?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14180 divided by -2\nAnswer: -7090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 69 = 41 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 greater than or equal to 133088\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2 - r + 4. Let c be s(0). What is the derivative of -1 - 1 + 24*i**4 - 27*i**c wrt i?\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577876813?\nAnswer: 1069, 540577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 14622 = 5*o - 2*o, 5*k = 5*o + 24350. Let a = o - 129. What are the prime factors of 5\/(225\/(-6)) - a\/45?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3220 + 4800. What is b rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 84448.99 kilograms?\nAnswer: 84448990000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -413\/264 + 1\/528. What is the common denominator of m and 19371\/5940 - 3*(-1)\/5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-21)\/12 + 1 - (-223)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w**2 + 11*w - 28. Let u be s(-12). Suppose -5*z + 3*z = -u. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-10523*7\/14)\/(1\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658599364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + 36\/(-8))*-2*(-4)\/3. Let h(y) = -6*y**3 - 5*y**2 - 1. Let u(v) = -6*v**3 - 6*v**2 - 1. Determine q*u(c) - 5*h(c).\nAnswer: 6*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -147996*j + 4883881. Determine r(33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94565 - 52986. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*123779\nAnswer: -1361569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m**4 + 15*m**4 - 7*m**4 - 34*m**5 + (0*m + m + m)*(-m**4 - 29*m + 29*m) + (-3 - 1 - 2)*(0*m**5 + 2*m**5 - 3*m**5).\nAnswer: -30*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 52 = 4*k, -2*k = 569*h - 570*h - 26 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 6 = 10*u - 8*u, -3*n = 3*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 505 in 10, 0.1, 0.02?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 0)*(3*b**3 + 1 - 3*b**3 + b**5).\nAnswer: -9*b**5 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 62*p - 773. Give k(-72).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7.7. Which is the closest to -1? (a) -2\/3 (b) s (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-16) + 8120\/32.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(12\/3642)*(-1 - 0). Suppose 0 = -3*t - u + 15241, -t + 4*u + y + 4456 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5563, -5559, -5555?\nAnswer: -5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.3 - -4. Let k = c + -0.7. What is the nearest to 0 in k, -2\/11, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -38.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -30\/13, -1.0557, 0.6, -2 in descending order.\nAnswer: 0.6, 0.3, -1.0557, -2, -30\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -15\/7, 0.9, -0.4, -35, 2\/9, 10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2382.23, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-7)\/(-1) - 3. Let f be 1\/(o*(-2)\/(-16)). Let z(a) = -12*a + 5*a + f*a + 3. Determine z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 1, j: 2}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 87*x - 178*x + 90*x - 3 + 48*x**3.\nAnswer: 48*x**3 - x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12933, 26811, 40689, 54567, 68445, 82323?\nAnswer: 96201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756686?\nAnswer: 2, 7, 54049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -42. Let u = x - -29. Let n = u - 10. What is the smallest value in 2\/9, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727196512 to the nearest integer?\nAnswer: 26967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/330 - z**4\/22 + 3*z**3\/11 - 13*z**2. Determine a so that l(a) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.4, -4, -145 in descending order.\nAnswer: 0.4, -0.4, -4, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265279588 by 24737.\nAnswer: -10724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p*p*(p\/(p**12\/p))\/p*p*p))\/p)\/p)\/p)\/p**(-17))\/(p\/(p**(-2)*p))**(-27) assuming p is positive.\nAnswer: p**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -119, -170, -215, -254, -287, -314?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5140.8 + -5141. What is the closest to s in 1\/11, 1\/131, 5, -2?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 61\/3. Suppose 5*h - 12 = -3*q + 2*h, 4*q - 3*h = -12. Suppose q = -p - 3*p. What is the closest to 2 in p, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 167\/2 + (-2)\/(-4). Suppose r = -3*r + s. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 1.18 (c) 0.18 (d) -0.72 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 5, w: 7, c: 3, q: 1}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - (-112 + 42) - (0 + 11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*g + 18*g**2 - 6*g**2 + 17*g + 29*g + g**3 - 4 in the form u*g**3 + z*g**2 + s + a*g and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3731 by 101404.\nAnswer: 3731\/101404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 14*x + 2*v - 8 = 0, -20 = -5*x - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 + 5. Let o(f) = f**3 - 3*f**2 + f - 4. Let h(w) = -3*b(w) - 4*o(w). Calculate the remainder when 65 is divided by h(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-46 - (-27 - 11)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3775.561484 to the nearest 10.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -37. Let v(i) = 5*i - 5. Suppose 0 = d + 1 - 5. Let c be v(d). Calculate the greatest common factor of c and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4*i - 40 = 3*z, 3*z = i + 31. Suppose -m + z = 3*m. What is the remainder when 5 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 382*j**2 - 5*j - 5. Let c be b(-2). Suppose -1899 = -6*q + c. Is (662\/4)\/(26\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 2301.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/363, 2\/7, -0.07 in descending order.\nAnswer: 2\/7, -2\/363, -0.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.1. Let j(n) = -n**2 + 12*n + 3. Let u be j(12). Suppose 0 = -2*l + 4, -4*o + 2*l = l - 6. Put u, t, o in decreasing order.\nAnswer: u, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232.469 + 243.9397. Round q to 1 decimal place.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + (-441)\/(-714). What is the closest to -46 in -3, 0.01, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -3*g. Suppose 2*n - 3*u + 2 = 6, 2*n + u = -12. What is the remainder when (-2)\/n + (-55)\/(-2) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqmmsmmsqq. Give prob of sequence ssqm.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.051 - 2.93. Let b = 0.2927 - 0.1768. Let z = b - g. Round z to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.136209716 rounded to three decimal places?\nAnswer: -8.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 2*u**7\/63 - u**6\/10 + u**5\/30 + 2*u**4\/9 - u**3\/3 + u**2\/6 + 6*u. Find c such that z(c) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 r, and 2 w when four letters picked without replacement from rwrkkkrdkwadrrr.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90)\/(-25)*80\/12. Calculate the highest common divisor of 40 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 12*u**2 - u + 8. Let t be r(-12). Suppose 3*p - 71 = -t. Suppose 21*w = p*w + 48. Solve 3*o + o - 4*i + w = 0, 0 = -o + 2*i - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = -384 + 636. Solve -3*w - 6 = -k - d, 3*k + 12 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 6. Let w be c(-5). Suppose 0 = w*m - 6*m. Let z be 14 - 11 - (-2 - m). Solve 0 = 4*n - z*r - 0*r + 9, -r + 2 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x = -34806 - 44702. List the prime factors of x.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2467.8 * -0.59\nAnswer: -1456.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46537924 by -1334.\nAnswer: 34886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*v + 10574 = 1614, -4*u - 3*v = -7203. Let k = -1276 + u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71 - -22) + 24 - 60) + 20.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755249 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 k(z) = 7*z**2 - 247*z - 43. Let p(v) = -11*v**2 + 394*v + 64. Let x(b) = -8*k(b) - 5*p(b). Calculate x(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p*p\/(p\/p**(3\/8)*p)))*p**(-1)*p\/p**(-4\/9)*p**(-3\/10))\/(p**5\/p**(-10))**(-21) assuming p is positive.\nAnswer: p**(113227\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 2\/413 (b) 2\/3 (c) -3\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -232 - -229. Let y = 1504 + -1503. Put y, g, 8, 5 in increasing order.\nAnswer: g, y, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454, 533, 744, 1153, 1826, 2829, 4228?\nAnswer: 6089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -211237, -422475, -633713, -844951, -1056189?\n\"Answer: -211238*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3666934312.\nAnswer: 2, 103, 4450163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*a - 724*a - 10260 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7137937530.848?\nAnswer: -7137937526.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2448*z**2 + 19 + 2455*z**2 - 2*z + 22 + 41 - 15. Let x(w) = -4*w**2 + w - 34. Give 3*v(y) + 5*x(y).\nAnswer: y**2 - y + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -0.02, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 129477768?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z + 700 + 993 + 611 = 0. Calculate the least common multiple of z and 3736.\nAnswer: 14944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*x - 11, -3*x + 0 = -3*b - 18. Let r be (b + -1)*(1 - 3). Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/15, 2\/3, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*n**5 - 21 + 3*n**5 - 19*n + 21*n + 9 wrt n?\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 232*i**2. Let h = 192 + -187. Let u(y) = 0*y - h*y - 4*y + 7*y. Give f(u(n)).\nAnswer: 928*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 4)*(-3)\/5. Suppose -12 = -3*w - g. Suppose -5*l + l = b - 355, 75 = l + w*b. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/8 + -6 - ((-114)\/(-12) + -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1489*j**4 - 327*j**3 - j**2 + 3*j - 281.\nAnswer: 17868*j**2 - 1962*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128357521 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23087\/10857 - -88\/329. Find the common denominator of b and -31\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 94, 93, 92, 91, 90?\n\"Answer: -u + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329648?\nAnswer: 2, 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4 - 4, -3*r = -5*u + 21. Suppose m = -2*m + w + 58, -5*m + 70 = 5*w. Suppose -n + 4*n = m. Solve d - u*d - n = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from cyelclccyhlh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 488 = 3*s + k, -106 = -s - 3*k. Suppose -36 = -19*g + s. Let t(p) = -5*p**2 + 6*p - 6. Let r(y) = 6*y**2 - 7*y + 7. Calculate g*t(o) + 6*r(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 3*i + 217. Let c be 112\/i*(0 + -6). Suppose c = -r + 4. Put 6, -4, r in descending order.\nAnswer: 6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2827, 2790, 2733, 2644, 2511?\n\"Answer: -2*n**3 + 2*n**2 - 29*n + 2856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22500 is divided by 3703.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t + 1670 - 3446 = 0 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0 - 17\/6*j**3 + 2*j**2 - 17\/24*j**6 + 0*j + 0*j**4 + 0*j**5. Differentiate i(c) with respect to c.\nAnswer: -255*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.9. Let z = y + 0.7. Let d = z + -0.2. Sort -2, d, -0.2 in decreasing order.\nAnswer: -0.2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 2*n**2 - 5*n + 5. Let q(r) = r**2 + 3*r - 3. Let k(i) = -4*m(i) - 7*q(i). Let o = 25 + -24. Let a be k(o). Solve -7*j = -a*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -13, 1, 7599?\nAnswer: 7599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514 (base 13) to base 11.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -1\/2, 1.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 8:06 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3975 = -545. Does 42 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**3 - 85*g**2 + g + 35. What is l(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11563330328 - 2.\nAnswer: -2.11563330328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-14))\/(1955\/238 + -8). Let f be 3*2\/(-3)*-2. Suppose f*y = y. Solve -u = -y*t + 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i - 2*l = -150, 0 = 3*l. Suppose -i*o = -150 - 60. Let h(d) = -2*d**2 - 9. Let g(x) = -x**2 - 4. Calculate o*g(n) - 3*h(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9660 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -2 + -4 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g. Let h(k) = -799670*k. Give h(f(c)).\nAnswer: -5597690*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27404 and 1508?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 145 = -4*j, 0 = 2*j - 4*c - 38 - 30. Let h(b) = -8 + 107*b**2 + 0 + 8 + b. What is the remainder when h(-1) is divided by j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 16. Solve 0*c + c + 2 = b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 12*v**3\/5 + 22*v**2\/5 + 2*v = 0.\nAnswer: -1, -5\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*l)*(-l**3 - l**3 + 0*l**3) + 339*l**4 - 300*l**4 + 2105*l**4 to n + q*l**3 + z*l**2 + r*l + f*l**4 and give f.\nAnswer: 2140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -84. Put 3, -0.3, -2, k in increasing order.\nAnswer: k, -2, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 divided by 594?\nAnswer: 73\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2236.682\nAnswer: -447.3364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 63*y + 269. Give b(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**6\/120 - m**4\/24 - 5*m**3\/6 - 9*m**2. Calculate v(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*a - 3 + 8, -4*a = -4*g - 20. Let n be (-45)\/(0 - 3) - g. Suppose -3*w + w + n = 3*r, 4*r = -3*w + 25. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 10*s**2 + 197*s\/4 - 119\/2.\nAnswer: (s - 1)*(s + 7)*(s + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k - 11*k + 0 + 0 to the form n*k + a and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 116.303.\nAnswer: -118.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1327014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 5. Suppose x*s - 2*s = -16. Let z be 3*(s + (-52)\/(-12)). Sort z, 5, -1 in decreasing order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*q - 27*q + 168 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24818.66 millennia?\nAnswer: 2481866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let p(r) = -12 - 5 - 10*r + 11 + 5. Calculate h(z) - p(z).\nAnswer: 9*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 41. Let d(q) = 2*q + 41. Let f(n) = -2*d(n) + 3*l(n). What is the tens digit of f(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1. Let k(g) = -g - 9. Let h(y) = 13*y - 5. Let x be h(-3). Let b(c) = x*j(c) - 4*k(c). What is b(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110153203 + 2?\nAnswer: -110153201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112011110222 + 222?\nAnswer: 112011111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 6*z**2 - 4*z + 7. Suppose -5*c + 5*i = -c - 14, -22 = -2*c - 5*i. Suppose c*p = 8*p + 10. What is the least common multiple of 8 and m(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1593777075 to the nearest integer?\nAnswer: 39922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/4855 and 14\/10681.\nAnswer: 53405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-14))\/1*(-2)\/(-8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 778410202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7477 + 23272. Is 154 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -237\/5, -11, -1\/6, 0.2 in decreasing order.\nAnswer: 3, 0.2, -1\/6, -11, -237\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - -39. Let f = 76 - o. Let r(s) = s**2 + 11*s - 18. Let z be r(f). Solve 0*w + 20 = -4*y - 3*w, -2*w = z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 49*x**2 + 2*x. Let n(a) = -5*a**2. Give j(n(o)).\nAnswer: 1225*o**4 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 5, -1, -4 in decreasing order.\nAnswer: 5, -1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -154, -2, -4, -2716 in descending order.\nAnswer: 15, -2, -4, -154, -2716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 + n + 8. Let g be f(-7). Let h(u) be the second derivative of 31*u**5\/5 + u**4\/6 - u**3\/6 + 2*u. What are the prime factors of h(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {s: 1, o: 2, b: 1, f: 1, c: 2, u: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1511*g**5 - 2*g - 453.\nAnswer: 30220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 1, n: 2, k: 5, u: 1, v: 5}. What is prob of sequence vvk?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8439 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5 - 8*l**4 + l**5 + 0 + 6*l**5 + 8*l + 1 - 34*l**2 - 2 + 21*l**3. Let w(t) = t**5 - 2*t**2 - 1. Let p(d) = -6*w(d) + x(d). Factor p(s).\nAnswer: s*(s - 4)*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:58 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) 2 (c) -5 (d) 7\/4 (e) 11 (f) -2\/17 (g) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*h = -0 - 19, -x + 2*h - 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 42 - 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8203908 to the nearest 10000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5417 * -4171.\nAnswer: 6430.4307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - t)*(2*t - 2*t + 3*t**3) + 0*t**4 + 2*t**4 + 0 - 4 + (-t**2 - t + t)*(4*t**2 + 0*t**2 - 5*t**2) + (2*t**4 - 4*t**4 + 4*t**4)*(-2 + 7 - 2).\nAnswer: 18*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and ((-4)\/(-10))\/(2205\/550 - 4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 - 3*b**2 - b - 2. Suppose 5 = 5*u + 15. What is the remainder when 76 is divided by f(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*h - 15, 2*y = -4*h + 7*y + 3. Is (-278)\/(-6) - (-3)\/(h - 11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 - 52. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -11182.\nAnswer: -11184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w**4\/5 - 111*w**3 + 15078*w**2\/5 - 172676*w\/5 + 716184\/5 = 0. Calculate w.\nAnswer: 14, 261\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 564620 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/3 + (-3 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 - 166. Suppose 18*j - 4 = i*j. Solve -3*s + 6 = -3*x, 0*x - j*x = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 602*s + 20 + 644*s**2 - 22 + 235*s**2 + 1402*s + 257*s**2 wrt s.\nAnswer: 2272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016, 23681, 64834, 122437, 196484?\nAnswer: 286969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:10 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 875 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918, 1820, 2722, 3624, 4526?\nAnswer: 5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8731?\nAnswer: 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*f**2 + (2 + 2*f**2 - 2)*(5 - 3 - 3) - 28*f**2 - 87 + 87 + 88*f**2.\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5 - 7518*a**4 - 4710018*a**3 + 22548*a**2 + 14115045*a - 9420054 = 0.\nAnswer: -1253, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1656?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*c + 8. Let i = c + -10. Let m = 11 - 7. Sort m, -1, i.\nAnswer: -1, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x - 1. Let n(q) = 3*q**2 - 6*q + 5. Calculate n(o) + 5*y(o).\nAnswer: -2*o**2 - 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158 + 1797 = -213*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t**(-15)\/t)\/(t**8*t**(-25)\/t) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8 + (69\/(-30) - -2). Which is the second biggest value? (a) v (b) -3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:41 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**3 + 2*a**2 + 5*a + 6. Let o be m(-2). Let y = 40 + o. Which is greater: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 6, 1\/2, -0.2 in ascending order.\nAnswer: -0.2, -0.17, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -139a?\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 58 = 92. Solve 5*z - 5*u + 15 = 0, 0 - w = -3*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 2:50 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 0.1 (c) 1\/6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, y: 8}. What is prob of sequence ttt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 6*w - 5*w + (-4 + 4 + w)*(5 - 4 - 3) to the form u*w + z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 105 + 5*t - 6*t + 7*t**2 - 55 in the form j + s*t**2 + a*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - 6*a. Let u be j(0). Factor 0*c**3 - 7\/6*c**5 + 0 + 1\/3*c**4 + 0*c + u*c**2.\nAnswer: -c**4*(7*c - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, v: 1, y: 8}. What is prob of picking 1 p and 1 y?\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1607 = -4*y - 284, 0 = y + q - 332. Suppose -332*o = -y*o - 7. Solve 16 = o*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.582 + -0.182. What is the nearest to -1 in 0.01, h, 0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6433 - -6431. Sort 0.06, l, 2, 43, -3.\nAnswer: -3, l, 0.06, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/6 + 3583*y**3\/2 - 187351*y**2\/3 - 514230*y - 449988 = 0 for y.\nAnswer: -6, -1, 42, 10714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2 + 111*(-5)\/(-6).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 869679675 to the nearest integer?\nAnswer: 29490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*113891\nAnswer: 5694.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(26 + -20))\/((-2)\/102).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000161582 to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184 + 60*h + 5*h**2 + 92 - 2*h**2 + 0*h**2 + 90.\nAnswer: 3*h**2 + 60*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267 divided by -3.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14515*b*l**2 - 3860*l**2 - 2*l - 2 wrt b?\nAnswer: 14515*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -56*80\/280.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 0*k)*(1 - 1 + k) - 1914 - 40*k**2 + 1914.\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187687?\nAnswer: 187687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 163*d + 418. What is the units digit of q(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28445378.\nAnswer: 2, 13, 37, 29569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 1 - 1)*(3*q**2 + q**2 - q**2 + (3*q + 2*q - 2*q)*(2*q - q - 4*q)) in the form u*q**2 + p*q**3 + y*q + w and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089524.212 + 68719.7?\nAnswer: -1020804.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 253*b + 93232. Determine v(-204).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 9024\/(-2880)*(-6 + 5)*-3?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/95 + -4\/95. What is o in -4\/5*o**4 - o**5 + 6\/5*o**3 - b*o + 4\/5*o**2 + 0 = 0?\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s - s**2 - 11*s + 5*s)*(198*s + 168*s - 1 - 752*s).\nAnswer: 386*s**3 + 5791*s**2 + 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17561186?\nAnswer: 2, 8780593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190\/3 - -64. Factor 6 - 4*i + y*i**2.\nAnswer: 2*(i - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 104. Let h be 0\/1 - (-1 - 6). Let r = u - h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2043, 2045, 2049, 2055, 2063, 2073, 2085?\n\"Answer: r**2 - r + 2043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*t, 2*t - t = -5. Let w = -345 - -545. Calculate the greatest common factor of z and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - v**2 + 8*v - 37. Let m be i(4). Are -209 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -37. Suppose 4*l - y = 11. What is the third derivative of l*i**2 - 4*i**2 - 7*i**2 - 5*i**2 - 12*i**5 wrt i?\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + (5 - 17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 25*u**3 - 18*u**3 + 8*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 95. What is the remainder when 99 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (78 - 78 - 4*j)*(-j + 0*j + 3*j + (-6 + 2 + 3)*(-30*j - 18*j - 43*j)) in the form q*j + b*j**2 + m and give b.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53419796, 53419810, 53419810, 53419790, 53419744, 53419666?\nAnswer: 53419550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -1\/2 (b) -3\/16 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -198, -479, -948, -1605, -2450?\n\"Answer: -94*r**2 + r - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 71. Let b(k) = 2*k**2 - 3. Calculate b(s(o)).\nAnswer: 72*o**2 + 1704*o + 10079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -977, -987, -997, -1007?\n\"Answer: -10*i - 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 24.6. What is l rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 6*i**2 + 4*i**2 + 4*i**2)*(12 - 12 - 11*i**3).\nAnswer: -22*i**5 + 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.719549 rounded to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-1 + 1 - k) + 5521*k + 240 + 335 - 575.\nAnswer: 5523*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 41*w**2 - w + 4. Let i be n(-3). Let x = -5628 - -5731. Let q = x + i. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g**2. Let y be 1 - (-15)\/(-9) - 22\/(-6). Let a(j) = 5*j - 3*j - y*j - j. Calculate a(w(z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152.56 - -15.69. Let t = -140.1 + r. Round t to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 224*n + 22917. Give q(-104).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1576, -3167, -4768, -6385, -8024, -9691?\nAnswer: -11392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6013792*b**3 + 6*b**2 + 386020*b wrt b.\nAnswer: 36082752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 26. Let w be l(-12). Factor 0*k**w - 16*k + 5*k**2 + 7*k**2 - 8*k**2 + 16.\nAnswer: 4*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167916 less than -264.7?\nAnswer: -168180.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(2016\/(-240))*(-22)\/30?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 31*b**2 + 749*b + 145. Determine a(47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12595713 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:02 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11686894.8 hours to weeks.\nAnswer: 69564.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t - 4. Suppose 16 = q - 15. Suppose 5*n - q = -11. Let j(b) = 5*b - 3. Give n*r(p) - 5*j(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 10*r + 3. Let k be 2 - (1 + 2*-5). Is q(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -461\/220 + 101\/44. Put c, 231, 2 in ascending order.\nAnswer: c, 2, 231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -272, -1087, -2452, -4367, -6832, -9847, -13412?\n\"Answer: -275*m**2 + 10*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/137 - -2063\/274. Factor a*i - 9\/2*i**2 + 3.\nAnswer: -3*(i - 2)*(3*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*o**2*z - 15237315*i**2*o**2 + 12*i**2*o*z + 2*i**2*o - 819*i**2*z + 112*i*o*z - 6*i*z wrt o.\nAnswer: -4*i**2*z - 30474630*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:56 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/132 and 79\/7128?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 - 51*j**2 - 512*j - 137. What are the prime factors of o(-21)?\nAnswer: 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -28, 84, 302, 662, 1200?\nAnswer: 1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 213, 3, 1\/7, 5, 7, -3\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swrbsbrbwwbsswsbrbs. What is prob of sequence rs?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 6*g**2 - 3*g - 5. Give f(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 1 (c) -4 (d) 1\/2 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 3*s + 2. Let m be k(3). Solve -4*b - m*g + 2 = -g, 2*b - 6 = 2*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -130*r**2 + 3478*r**2 + 290*r**2 - 6 - 2*r. Let i be p(-5). Suppose 4*w = -30954 + i. What is w rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1356 + -162719\/120. Let g(a) be the third derivative of 0*a**4 + 1\/60*a**5 + 0*a + a**2 + 0 + 0*a**3 - u*a**6. Find the third derivative of g(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 12 = 0, 4*s = -233*t + 462*t - 234*t + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29.35445 centuries?\nAnswer: 293.5445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 + 120554*p - 13597064 = 0.\nAnswer: 113, 60164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-20) + (-24)\/(-220). What is the fourth smallest value in h, -3, 4, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-33)\/g**(-13\/5)*(g**0)**(7\/8) assuming g is positive.\nAnswer: g**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39162a (base 11) to base 13.\nAnswer: -187ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iddiiidiiiii?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15114 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -91, -2, 2667?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/20)\/(0 - (-153)\/(-24))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 96. What is the common denominator of -33\/16 and 15\/h*(-1062)\/495?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3958 = 4*c - 2*r, 4*r + r + 2958 = 3*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*f + 117 + 241, 0 = 3*a - 3. What are the prime factors of f?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14610 and 27.\nAnswer: -14583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02423 to 4 dps.\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1408.2 - 1407.7. Let g = -0.07 - -0.08. Which is the closest to 4? (a) g (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85 + 1789?\nAnswer: 181e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16479.99 and -4.\nAnswer: -65919.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3797 is divided by 1258.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**3 + 477373*s + 660259.\nAnswer: 3*s**2 + 477373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y. Let d(x) = -2 - 2 + 4 + 13*x. Let z(l) = -7*c(l) - 5*d(l). Let u(o) = -11*o**2. Determine z(u(k)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 5*c + 20 = -11*k, -k = -5*c - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 2, u: 8, x: 3}. Give prob of picking 1 u and 2 o.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -2*v**7\/105 - 23*v**6\/120 - 13*v**5\/30 + v**4\/3 - 8*v**2 - 2. Let c(u) = 0. Calculate u.\nAnswer: -4, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43228, 172892, 388990, 691516, 1080464, 1555828, 2117602, 2765780?\nAnswer: 3500356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 0.5, -0.3, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/7)*v*v*v**8*(v\/v**4)**20 assuming v is positive.\nAnswer: v**(-353\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = 2*j - 2, 5*j - 18 = -4*p. Let a(g) = g**2 + 5*g - 7. Let w be a(-10). Let t = 45 - w. Solve -j*s + t = 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0.7206428961501?\nAnswer: 1.2793571038499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -483398480 at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 2*a - 2. Let z(k) = -k - 8. Let b be z(-6). Calculate the remainder when 87*((-2)\/(-4) - b\/(-12)) is divided by x(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*z + 21, -5*l + 3*l = 5*z - 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.5128 times -197\nAnswer: 298.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18130 = -13*n - 36*n. List the prime factors of n.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than 47804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180478698 divided by -4.\nAnswer: 90239349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144, 251, 352, 441, 512, 559, 576, 557?\n\"Answer: -o**3 + 3*o**2 + 105*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 8) in base 10?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 812.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 47*q**2 + 3*q - 131. Let f be m(47). Solve f*o + 24 = 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**2 + 8*f. Let m(y) = -28*y - 2*y - 27*y - 12*y**2 - 66*y**2. Let a(s) = 15*c(s) + 2*m(s). Solve a(k) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1\/10 (c) -4\/7 (d) -0.07 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -8*x**4 + 0*x**5 - x**2 + 26 + 0*x - 7\/3*x**3 + 1\/6*x**6. What is the third derivative of j(a) wrt a?\nAnswer: 60*a**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d. Let k(t) = -21*t + 2801. Determine b(k(x)).\nAnswer: 210*x - 28010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4509.1546 - 0.1.\nAnswer: -4509.2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-63)\/630 - (-88193)\/30) + (-1)\/(-3) and 45.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 449949, 449943, 449919, 449871, 449793, 449679, 449523, 449319?\n\"Answer: -x**3 - 3*x**2 + 10*x + 449943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220963 rounded to the nearest 1000?\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115*i - 10 + 3*i**4 - 2*i**3 + 115*i - 6*i**4 - 3*i**4 - 21*i**4 + (4*i + 3*i - 5*i)*(i**2 - i**2 - 2*i**3) + 0*i**4 - 2*i**4 + i**4.\nAnswer: -32*i**4 - 2*i**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (8 - (-11 - -12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = f. What is the units digit of 3036\/9 + (-4)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 0, -15, -48, -105, -192?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (-1857845)\/169116 - 13 and -11\/10.\nAnswer: 49740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*g - g - 20 = 0, 4*q = 5*g + 28. Let c be (1 - 2\/(-4))\/(q\/(-44)). Let l = 53 + c. Calculate the smallest common multiple of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633*m = 1088 - 2354. Factor 8\/3*y - 2\/9*y**3 + 0 - 8\/9*y**m.\nAnswer: -2*y*(y - 2)*(y + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3670*u + 422763 = -506*u - 2743*u + 792*u for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55795.5 and -0.172?\nAnswer: 55795.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g**4*o + 6475*g**4 + 5*g**3 + 77*g**2*o - g**2 + 6475*g*o + 2*g wrt g.\nAnswer: 288*g*o + 155400*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 6) + (-5 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357981981 to the nearest integer?\nAnswer: 18920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*124\/3410)\/(((-9)\/825)\/1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/70 and 149\/2160.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*l*m**3 - 803*k*l*m**2 + 3*k*l*m + 21*k*l + 145264*k*m**3 + 2*m wrt m.\nAnswer: -6*k*l + 871584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1\/4, 7, 0, 0.4, -0.563 in ascending order.\nAnswer: -12, -0.563, 0, 1\/4, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 + -4 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 10. What is the remainder when 71 is divided by g(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74425944287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 49245*i**2 - 201125469*i - 7918972893 = 0 for i.\nAnswer: -39, 8227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 52425556?\nAnswer: 52425605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/12 + 10*k**3\/3 - 49*k**2\/2 - 182*k. Let b be m(3). Solve 0 = -f - b*l - 5, f - 7 = -0*f + l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 7)*2\/4. Suppose -k + 4 = -2*r - m, -5*r = 2*k + 45. Let d = r - -12. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-3)\/sqrt(10) + (sqrt(85)*3)\/sqrt(5) - ((sqrt(170) + (2*sqrt(170) - sqrt(170)) + sqrt(170))*-2)\/((sqrt(150)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 12:44 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 93480920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6115 + 0.3885. Let t be ((-3)\/(-14))\/((-1)\/(-2)). Let i = 33 + -67\/2. What is the closest to 2 in l, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 1 + -16 - -2469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.09 - -0.09. Let n = 717\/2 - 359. What is the third smallest value in m, 1, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-96)\/(-432))\/(2\/9). Solve 5 + h = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/45 + u**4\/9 + 4*u**3\/27 + 21*u. Suppose p(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.99 + -0.01. Let c = d - 0. Let w = c + -2. What is the third smallest value in -1, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/6 - 0)\/((-1463)\/(-3135))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8 - 11 - 3*u + 2. Suppose -10 = -3*y + 4*k, 0*y + 5*y - 4*k - 6 = 0. Give a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79823196.\nAnswer: 2, 3, 29, 157, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -36, -67, -114, -183, -280, -411, -582?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.53 - -1.53. What is the fourth smallest value in q, 0, -3, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) -4 (b) 0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10*y = 110. Suppose 2*t = -g + y, g = -2*g - 3*t + 60. Calculate the remainder when 52 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814*b**5 - 4888*b**4 + 2466*b**3 + 8128*b**2 - 40*b = 0. What is b?\nAnswer: -1, 0, 2\/407, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*a = -13, 17 + 13 = -2*x - 2*a. Let d(h) = h**3 + 17*h**2 - 2*h + 56. List the prime factors of d(x).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/160*5\/11)\/(483\/(-2898))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -25, 1\/157, 1, -4, 0, -0.208, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142 is divided by 1050.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(700) + sqrt(448) + 2 + sqrt(448) + sqrt(448) + 3.\nAnswer: -2 + 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + (sqrt(500) + 2*sqrt(500) - (sqrt(15)\/(sqrt(9)\/sqrt(3)) + sqrt(5))))*-3)**2.\nAnswer: 5040*sqrt(5) + 71010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2159 (c) 1.8 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139915547.\nAnswer: 139915547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -240000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6234022 * -22\nAnswer: 137148484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1683, -12, 5 in descending order.\nAnswer: 1683, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5\/m**24 assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*r**2 - 5*r**3 + 220*r**2 + 1333*r - 2666*r + 54*r**3 + 1333*r.\nAnswer: 49*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(51) + (sqrt(51) - sqrt(816)*4 - sqrt(51)))\/(sqrt(108)*-1))**2.\nAnswer: 833\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 + 1810*u = 0. Calculate u.\nAnswer: -362, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 + 2*k - 2*k + 10*k**3 - 31*k**2 + 2*k**3 as i*k**3 + a*k + u*k**2 + c and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18478350 divided by -1679850\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332136 by 18.\nAnswer: 18452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130510244?\nAnswer: 2, 3, 199, 389, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 + 0*c**2 + 2*c**2)*(2 - 2 - 2)*(2*c - 3*c + 3*c)*(7*c - 3 + 3)*(-2 + 3 + 0) as r + g*c**3 + j*c**4 + f*c**2 + k*c and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 284 + 90 = -5*y + y - 4*u, 0 = -29*y + 5*u - 211 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 322 and -0.1806.\nAnswer: -58.1532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2 + -6*(sqrt(475) + 1)) - 5*-2*(sqrt(475) - (sqrt(475) + -5*(-2 + sqrt(475)))))*-4)**2.\nAnswer: -957440*sqrt(19) + 35266304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 89*v**4\/12 + 25*v**3\/6 + v**2\/2 + 10*v + 3. Is d(3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 0, -8 in decreasing order.\nAnswer: 0, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*s - 22. Suppose -i + s = 4*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 26. Let c be (2 - (-51)\/j) + 3. What is the smallest value in 4, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -2, 93, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29196 + 29188. Sort 3, 12, q.\nAnswer: q, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43b (base 13) to base 2.\nAnswer: -1011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 4626\/3517 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 616 divided by 3461\nAnswer: 616\/3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l - 0. Let p = 0 - l. Let m(z) = -z**2 + 2*z - 1. Give m(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m - 1. Let y = -3 + 9. Let z(w) = 7*w**2 - 6*w - 4. Let f(h) = y*r(h) + z(h). Differentiate f(d) with respect to d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21843 is divided by 2819?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793499167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13138*c**3 - 100*c**2 - 9121501 with respect to c.\nAnswer: 39414*c**2 - 200*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k - 3*k - k - 4*k - 9*k**5 wrt k.\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*s + 0 - 6 = 0, 4 = 4*v - 2*s. Solve 2*w + v = 2*l, -w + 12 = w + 5*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 9*v**2 - 7*v + 30. Let k be c(-10). Suppose k*a = -2*a + 4. Solve a*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*s - 32 = 16, 0 = z + 4*s - 13. Calculate the lowest common multiple of z and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**2 - 16*h**2 - 2*h**2)*(0*h**2 + 2*h**2 - 19*h**2)*(-9*h - 8 + 8).\nAnswer: -1530*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 - 4*(-2)\/(-8). Calculate the greatest common factor of 165 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9598a + -18?\nAnswer: -959a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8830 and 68414.\nAnswer: 302047810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*n + 36 = 150*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 1 + 2 + 1. Let o(x) = 30*x**3 - 3*x**2 + x + 1. Calculate the remainder when 86 is divided by o(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*p + 41902 = 2422. Are -100 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f + 24 = -52*f. Suppose -f = 6*j + 18. What are the prime factors of 76 - j - (-3 + 8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2 = 0, -3*i + 5117 = -236*y - 48*y - 8*i for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + 0.06. Let l = x - 0.232. Round l to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 112, 225, 338?\n\"Answer: 113*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*r + 4*i + 253, -2*i = -r - 85. Let m be 12\/30 + r\/5. What is the lowest common multiple of (-342)\/(-30) + (-9)\/m and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let a = b - -14. What is the units digit of ((-1)\/3)\/((-2)\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 2*n - 4. Let t(o) = -4 + 4 - o**2 + 1. Let u(y) = -d(y) - 4*t(y). Suppose u(f) = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2016 (base 14) to base 8.\nAnswer: 12604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2506 by -6.\nAnswer: 1253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/2)\/(((-110)\/(-25))\/11). Suppose 0 = -4*d + s + 1713, -n*s + 445 - 1 = d. Calculate the greatest common factor of 33 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 9*s**2 + s + 7. Let t be v(-9). Let y be (-6)\/(6\/t) + 0. What is the third derivative of 102 + y*j**2 - 6*j**3 - 102 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j + 16. Let c(w) = -w**2 + w + 1. What is 2*c(d) - 2*y(d)?\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20660 take away 1091874022?\nAnswer: -1091853362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-28)*(-72)\/54.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (-6 + -65 + 22)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337*j**2*q**3 + 199*j**2*q*v + j**2*v**2 + 3*j*q**3 + 2*q**3*v**2 - 3*q**2 wrt q?\nAnswer: 2022*j**2 + 18*j + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*g + 13*g. Put g, -120, 5 in ascending order.\nAnswer: -120, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*c + 17, -6*c = -v - 11*c - 13. What is the second biggest value in v, -6\/61, -1\/7?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 1162*l + 1163*l + 11, 5*l = 12*r - 49 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + 31 + 23 - 49. Let m be 5 + (0 - 0) + -1. What is a(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 459 - 396. Calculate the remainder when r is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 258, 2 in descending order.\nAnswer: 258, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(396))**2*-3*-2.\nAnswer: -288*sqrt(11) + 9528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 5, 0 in decreasing order.\nAnswer: 6, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 6*l**4 - l**4 + 3*l**4 - 2*l**4 - 2*l**4 + l**4 - l**4 - 2*l**4 + (4 - 4 + l)*(2*l - l**3 - 2*l) + 1 + 3*l**4 - 1 + l**4 + 2*l**4 + 2*l**4.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1073\/(-370) + 3\/((-4)\/(-4)). Sort m, 1.1, 2\/11 in descending order.\nAnswer: 1.1, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -627.95 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 10419*w + 101 - 54 to the form y*w + o and give y.\nAnswer: -10419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/38*16\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8516463 smaller than -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1197*v + 5 - 268*v + 149*v as w*v + u and give w.\nAnswer: -1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4840*n**4 - 1342*n**3 + 366*n**4 + 2673*n**3 - 1331*n**3)*(2*n + 4 - 4).\nAnswer: 10412*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -666 + 676. Solve 0 = a*k - 28 - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, -11, -22.\nAnswer: -22, -11, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2970\/195 - 171\/741) + 2*-41?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -546597 by 14.\nAnswer: -546597\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from xgfre?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04253625 to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -157378 times -941?\nAnswer: 148092698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.8, -14, 2\/7.\nAnswer: -14, -9.8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 484 = 2932. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 11 - 6 - 3 + 1. What is v(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6482 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*v = 3*d - 26, 4*d = -4*v + 52. Which is greater: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*x**3 + 30742*x**2 - 4969*x - 111 wrt x.\nAnswer: 210*x + 61484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72219329 to the nearest integer?\nAnswer: 8498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58816*a = -29400*a - 29307*a + 4469 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:38 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2422, -3457, -9334, -15209, -21082?\n\"Answer: p**2 - 5882*p + 8303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 + 6 + (43 - 51)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102310002024 + 2?\nAnswer: -102310002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 7*y**2 + 3*y + 7. Let r be o(-5). Suppose -4*s + 192 = 2*b, 3*b - r = -4*s - b. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -4\/3*a**3 + 11\/12*a**4 + 0 - 1\/20*a**5 + 1\/2*a**2 + a. What is the remainder when 39 is divided by b(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -16. Suppose -6*k + 2*k + g = 0. Put k, 5, 3 in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40562521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/90 and -49\/25977310.\nAnswer: 233795790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121998 is divided by 488.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**3 - 5 - 83387*m**2 + 5 + 83387*m**2.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 2*i)*(17*i + 21*i - 66*i).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3809933*w**4 + 6*w**2 - w + 966461 wrt w?\nAnswer: 15239732*w**3 + 12*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 4 - (sqrt(539) + -2 - sqrt(539))) + -4 + 1*sqrt(275) + sqrt(275))**2.\nAnswer: 56*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -68. Let q = 42 + -79. Let h = 37 + q. Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*r = -375*r + 7*n + 59, r + 2*n + 19 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 3622944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-9) - (-7)\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.3. Which is the closest to m? (a) 0.3 (b) -0.05 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (2 - 3) + 3. Suppose -k = 5*x + 5, -6*x - 5*k - 25 = -5*x. Solve x = -f*r - 0*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (1*sqrt(3) + sqrt(3))) + 2)*-3*2.\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5575729651 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 2*z**5\/5 - z**4\/6 + z**2\/2 + 26*z. Let l be w(1). Solve l*a + 2 = 2*a - 2*o, 4*o + 4 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.07 + -3.47. Sort 0.9, 7, -5, p.\nAnswer: -5, p, 0.9, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.36 and -421470?\nAnswer: 421468.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -54 (b) -0.05 (c) 1.8 (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 82\/26 + (-30)\/195. Is 5 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 113639.\nAnswer: 909112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 53 = 2*k. Let m = 53 + k. Solve -2 = -3*f + m*f + c, -2*c = f + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.12, 0.3, 40, -24, 1, 2 in increasing order.\nAnswer: -24, -3\/2, 0.12, 0.3, 1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from ikiviviyyvkikiyviki.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -52. Let c = r + 27. Let m be 2\/(0 + (-2)\/1). What is the closest to m in c, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 - k + 5. Let l be j(0). Suppose x + 14 = 4*x + l*s, 5*x - 50 = -3*s. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640547562 rounded to the nearest one million?\nAnswer: -1641000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -37. Suppose -o*h = -16*h + 80. Let p = 23 - h. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870*w + 1175*w - 2 - 4563*w - 1330*w.\nAnswer: -5588*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-4 + -13)) + (5 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69619001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 7*p - 762. Let r = -80 + p. Suppose -26*w = -9*w - 306. Calculate the remainder when r is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 + 14*m**2\/3 - 7*m - 12.\nAnswer: -(m - 12)*(m - 3)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1190\/(-1904)*64\/900?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence advd when four letters picked without replacement from {v: 1, c: 1, a: 6, u: 5, g: 1, d: 2}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 42518795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -3 - 1 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148967 (base 10) to base 11.\nAnswer: a1a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2871680.99989 + -2871656. Let d = 0.54 - 25.54. Let w = t + d. Round w to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1500674166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10202 (base 4) to base 10\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 l when four letters picked without replacement from {l: 4, r: 6, h: 2, v: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30368*r - 30757*r - 21395 = 0 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 28356.\nAnswer: 28356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -28*w**2 + 117*w + 272. Determine q(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2496\/4992*2\/(-4*(-20)\/(-72))\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1794062 (base 10) to base 11\nAnswer: 10159a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4567*l**5 + 21*l**3 + l - 161065 wrt l.\nAnswer: -91340*l**3 + 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -192550000 rounded to the nearest one million?\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -5 (d) 1\/7 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -119408, -119308, -119138, -118898, -118588, -118208?\n\"Answer: 35*o**2 - 5*o - 119438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 10, -5*b - 4*f + 170 = f. Calculate the greatest common factor of 60 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.12 + 9. Let y be 1740\/(-1160)*(-4)\/9. What is the nearest to y in 1, 0.3, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*g + 219*g = -312 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 - 3*j + 3. Let t be f(3). Suppose -4*c - t*m + 4*m = 20, -3*c + m - 16 = 0. Let u be (-10)\/c*(5 - 3). Are u and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/20*27\/(-108)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:20 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*b**3 + b**2 - 3 + 0*b**3 + 0*b**3 in the form x*b**2 + h*b + r*b**3 + z and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 7}. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or -203?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 - b**3\/2 - 3*b**2\/2 + 4*b. Let w be r(6). Let u = w + 4. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -62, 0.2, 5\/4, -3\/5, 2\/3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 27*d + 64*d - 25*d + (-1 - 1 + 3)*(5*d - 4*d + 0*d) - 4 - 2*d + 4.\nAnswer: 11*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 519 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 + 273 = -11*o. Calculate the lowest common multiple of (-1448)\/(-24) + (-2)\/6 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-468))\/((-6)\/9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(8\/11)*k*k)\/k)\/(k*k**(1\/16)) assuming k is positive.\nAnswer: k**(117\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/49 + 1684\/14. Let t(l) = 13*l - 1. Let s be t(1). Calculate the greatest common factor of b and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*24\/1176*-14*2\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/23, -0.2, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 45*d**2 + 7*d - 13. What is the thousands digit of b(-43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:51 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/252, 0.1, 137, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 5*u - 31, -s + 2178*u - 2182*u - 22 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 901 = 815 - 1620 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i + 3. What is u(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.249 + -4.751. Let l = -0.03 - 0.77. What is the second biggest value in -0.1, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 11, k: 1}. Give prob of picking 2 a, 1 k, and 1 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75489019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 - 95\/(-35). Suppose 4*q = z*s + 4, -2*q = 3*q + s - 5. Factor 3 + 0 + 2*d**3 + q - 4*d**2 - 2*d + 0*d.\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxgc when four letters picked without replacement from gogccchcxcg.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*2)\/(42\/9). Let v = 3245\/8 - 405. Let s = 3\/8 - v. Which is the nearest to s? (a) -5 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + 3*s + 0*s)*(4*s**2 - 4*s**2 - s**3) - 4*s**4 - 5*s**4 + 2*s**4 - 2*s + 2*s + s**4 + (1 - s**3 - 1)*(-2*s + 2*s - s))*(-2*s + 3 - 3).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose -25 = 5*h + 5*i, 0 = 2*h - j*i - 9 - 1. Solve 3*p = -h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5542, -22128, -49750, -88390, -138030, -198652, -270238?\nAnswer: -352770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203434212 (base 5) to base 15.\nAnswer: 119bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-6))\/(6\/8). Let b = 4 - n. Let o be b\/(-3) + 2\/3. Solve -2*f + f + 1 = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = v. Which is the closest to -0.1? (a) -1\/5 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 7*u**4 + u**2 + 0*u - 61*u**3 - 2 - 3*u - 2*u + 57*u**3 as n*u + h*u**4 + r*u**3 + j + x*u**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1231\/15 - 82. Let k(f) be the third derivative of -2*f**2 + 1\/42*f**7 + u*f**5 - 1\/6*f**4 + 0*f**3 + 13\/120*f**6 + 0*f + 0. Let k(y) = 0. What is y?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/7? (a) -0.3 (b) -3 (c) 9\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t - 7. Suppose 5 = -9*i + 41. Let s(y) = 6*y + 4. Calculate i*m(o) + 7*s(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1749 + 3433\/2. Calculate the common denominator of s and 79\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2755, 2745, 2735, 2725, 2715?\n\"Answer: -10*r + 2765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/14 + 2871648\/594720.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-162)\/(-21))\/(-2))\/((7\/(-40))\/(1008\/(-2160)))\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*k - 57 - 26 = -4*h - 7, -4*k + 4*h - 68 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -l + 40, 2*l - 5*i = -l + 92. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036257 is divided by 121?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 398130967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*j + 6769 = 104*j - 405 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11360 divided by -5?\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1614031000 to the nearest one million.\nAnswer: 1614000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5750432 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**5\/20 + 7*i**4\/12 + i**3 + 3*i**2\/2 - 2*i. Let o be g(-6). Calculate the remainder when 5 is divided by (-2)\/(-1 + 1\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186.97 * -4.\nAnswer: -747.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -538736 by 4.\nAnswer: -134684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/11 and (48\/32)\/(6\/(-79)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 2*z - 4*z + (-z - 3 + 3)*(1 + 1 - 1) - 15*z + 6*z + 8*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1114*d + 1094*d + 100 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 5*i - 2. Let j = 1840 - 1837. Let m(h) be the second derivative of 0 - 1\/12*h**4 + 0*h**2 + 1\/6*h**j - 28*h. Determine m(y) + u(y).\nAnswer: 2*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6167 - -3?\nAnswer: -6164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.1995ml in litres?\nAnswer: 0.1241995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/720 - v**5\/160 - v**4\/48 - 5*v**3\/6 + v**2. Let w(r) be the first derivative of x(r). Factor w(d).\nAnswer: (d - 2)*(2*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*q + 5 - 157*q + 90*q + 45*q - 18*q**2 + 75*q in the form m*q**2 + b*q + p and give b.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/7 and -11\/1229.\nAnswer: 8603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 10:18 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/7? (a) -0.02 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-9)\/(-72)*-4))\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36873 is divided by 18428?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 401, 425, 459, 503?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -715 - 1513350266\nAnswer: -1513350981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-4)\/880*18\/12*-10\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 at least as big as 525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*p**1\/p*p))\/p)**(-2\/3)\/(p*p*p**1)**8)**38 assuming p is positive.\nAnswer: p**(-836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -5 (b) 5 (c) -2\/2829 (d) 0 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/24 - 2*k**3\/3 - k**2. Let m be q(7). Factor -4*f**2 + m*f**2 + f + 0*f.\nAnswer: -f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lmllmlmlmlmml?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 212?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(3*d - d - d)*(-5 + 2 + 4).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 399029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.8 + 5.6. Is 1\/5 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:42 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmbh when four letters picked without replacement from bbmmbbmmmbmbhbmbmhb.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 136. Let l(h) = 8*h + 134. What is -7*f(d) - 6*l(d)?\nAnswer: d + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 223. Let s = o - -170. Solve s = 10*d + 32 + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 4*h + 1. Let k be y(-3). Suppose -9 = -3*m + 3*l, 5*m = -l + k*l + 11. Suppose m + 11 = 3*w. Solve -2*a + 4*t = 2*a - w, -1 = -a - 3*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2) + (-2 - -3). Let h be (t - (-1 - 108))*-5. What is h rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 10}. Give prob of sequence ss.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5\/2 - 83775*n**4\/2 - 292489935*n**3 - 877218495*n**2 - 1754269455*n\/2 - 584728563\/2.\nAnswer: -3*(n + 1)**3*(n + 13961)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(-39))\/(2\/(-3114)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 735\/(-9))\/((-6)\/36). Let s be ((-4)\/50)\/((-49)\/q). Which is the third smallest value? (a) 16 (b) 3\/8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -59)*(-16 - 92\/(-6)) + 4. Let w(f) be the second derivative of -1\/6*f**3 - i*f + 0 + 35*f**2. Let q(k) = 2*k. Determine w(q(u)).\nAnswer: -2*u + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 74606?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 39, 120, 273, 522, 891, 1404, 2085?\nAnswer: 2958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*q + 4*q - 115 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*g - 6 = -2, -3 = 3*s - 3*g. Let u = s - -12. Let p = u - -3. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzz when four letters picked without replacement from {z: 7, b: 9}.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 38 = -0*b + 3*b, -4 = -2*n. What is the second derivative of -8*d**5 - 6*d - 7*d**5 - 33*d + b*d**5 wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 485886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 406297 - 150599 = -14*b. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(1\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b)*((-4*b + 2*b + 0*b)*(4*b - 2*b + 0*b) + 4*b**2 - 3*b**2 + 0*b**2 + (58*b**2 - 56*b**2 + 138*b**2)*(-2 + 2 + 1)).\nAnswer: -137*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44) + (sqrt(11) + sqrt(110)\/sqrt(90))**2.\nAnswer: 2*sqrt(11) + 185\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -331 + 327. What is the tens digit of (-13 - (a + -12)) + 3*78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -944148184*g**3 + 873730952 wrt g.\nAnswer: -2832444552*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1642, -3094, -4534, -5962?\n\"Answer: 6*b**2 - 1470*b - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:39 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 = -3*c. Suppose -28 = -r - 5*k, 0 = 2*r - c*k - 26 - 30. Is 27 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 0 + 0)*(2*t - 2*t + 2*t) - 4*t**2 + t**2 + 2*t**2 + 4*t**2 + 0 + 0 to l*t + y*t**2 + r and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291856*f**5 + f**2 + 153442860*f wrt f?\nAnswer: 5837120*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2979*p + 834129. Give s(280).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1980 and 2970?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -0.89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) -4 (c) -2\/9 (d) 96283 (e) -1\/3 (f) -5 (g) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/3888 and -11\/1134.\nAnswer: 27216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*r - 37*r + 284 - 35*r + 107*r in the form k + a*r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 1. Let b be c(4). Let t = -45 + 83. Suppose 5 = -b*l + t. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m**2 - m**2 + (4 + 2*m**2 - 4)*(0*m - 2*m + 3*m)*(18 - 2 + 4).\nAnswer: 39*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548851076.\nAnswer: 2, 137212769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*h - 68. Calculate the remainder when 62 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jmqqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8968 + 0.6968. Let k be 4\/14 - 26\/(-7). Suppose -k*w = -5*f + 17 + 5, -4*f + 4*w + 20 = 0. Is g greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 23*g + 15. Let m be y(15). Calculate the highest common factor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) 5 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11822 is divided by 1321?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/7986 and 79\/242.\nAnswer: 7986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = x - 5*s, -3*x + 142*s - 147*s = -30 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 9. Suppose -4*w - 2*h = -38, -s*w + 0*w + 33 = -3*h. What is the smallest common multiple of w and (-24)\/(-10) - 4\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1578397624?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = k - 5*k + 76, -12 = -3*v. What is the second derivative of 3*m**3 - 3*m**3 - 2*m - k*m**4 - 11*m wrt m?\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*p**3 - 20\/3*p**2 + 48 - 8*p.\nAnswer: -2*(p - 2)*(p + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.286 and 32.24?\nAnswer: 30.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32874.\nAnswer: 2, 3, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i + 0 - 1 + 5*i + 63*i**3. Let m be ((-3)\/(-6))\/((-1)\/2). Let a be x(m). Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {j: 1, z: 1, w: 1, m: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 - -2113?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 6. Let v(t) = -t + 5. Let u(a) be the second derivative of a**5\/20 - a**4\/2 + 7*a**3\/6 - 7*a**2\/2 + a. Let m be u(5). What is m*k(o) + 4*v(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (8 + 4 + 26)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 6*n - 12*n + 5*n + b, 4*n = 5*b + 100 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 37*p + 2883. What are the prime factors of q(-36)?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w + 2 + 2 - 3*w. Let g be z(-2). Let k(c) = 0*c**2 + 4*c**2 - g*c**2. Let q(n) = -2*n. Give q(k(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -780\/7*g + 32\/7*g**3 + 46\/7 + 702\/7*g**2 = 0?\nAnswer: -23, 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11400 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-24)*3)\/2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-9)\/12*(-2)\/(-3). Let t(u) be the first derivative of 1\/5*u**4 + y*u**2 - 5 + 0*u**3 + 0*u + 4\/25*u**5. Factor t(q).\nAnswer: 4*q**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 9 - (-13 - 1)) + -15 + 15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - 6368\/199 - (1 + 1 + 0).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1526*m + 218*m + 1 + 383*m as n*m + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14382 + 24242. Round t to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3756801*n*s - 1385*s + 266 wrt n.\nAnswer: -3756801*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 119, 178?\n\"Answer: 59*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22832.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5641555 divided by 5\nAnswer: 1128311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2527*l**2 + 2339*l**2 - 4298*l**2 to the form k + z*l**2 + b*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 - 6 = 0. Suppose 2*l = i - 1. Let d(s) = s**3 + 2*s + 4*s**2 - 2 + 6 + 0*s**2 - l*s. Give d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -2. Let z be (-68)\/f + (-5)\/25. Let d = z + 14. Solve m = -3*p + 3*m - 4, -3*m - d = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36084829 divided by 3280439\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 18, -6\/11, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 5796 = -89*s - 152*s. Let u(j) be the second derivative of s + 2*j**3 - 2\/15*j**6 + 11\/6*j**4 - 3\/10*j**5 - 2*j + 0*j**2. Factor u(i).\nAnswer: -2*i*(i - 2)*(i + 3)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 4)*(-6 - 4 + 12) + 1 - 3 + 3 + (2 - 2 + 2)*(4 - 1 - 2) + 3 - 1 - 5 - 2 + 4 - 3)*(0*x**4 + x**4 - 2*x**4).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1455 and -29423185551.3.\nAnswer: -29423184096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/21 and 1 + 3 + 71535\/(-18225).\nAnswer: 8505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -24892.8766948.\nAnswer: -24892.9266948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 7. Solve 6 = 2*g - a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521462 divided by -22.\nAnswer: -260731\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 0 in descending order.\nAnswer: 17, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -20*u - 111. Let l be z(-6). Calculate the highest common divisor of l and 9459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-472)\/(-14) - 4\/(-14). Suppose -3*x = z - 4*x - 3, 2*x = -3*z + o. Suppose -5*r = -4*f - 36, 0 = -2*r - 2*r - 2*f + z. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 814, 1225, 1636, 2047, 2458?\nAnswer: 2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**2*m**2 + 3*j**2*m + 106395*j**2*u - 3*j*m**2*u + 88*j*m**2 + 3*j*m + 24*j*u - 2*m**2 + 3 wrt u?\nAnswer: 106395*j**2 - 3*j*m**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -650019.983 rounded to the nearest ten thousand?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**2 + 4483*s. Let y(q) = -2*q. What is p(y(z))?\nAnswer: -24*z**2 - 8966*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -52 - 132. Is 46 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383927.\nAnswer: 3, 461309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 3, i: 1, k: 4, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 2716*z**2 + 16152*z.\nAnswer: 4*z*(z - 673)*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 6*h**2 + 2*h - 3. Let r be f(6). Let n(b) = b**2 + 1. Let g(v) = -10*v**2 - 1 + 14*v**2 - 10*v**2 - 8. Calculate r*n(i) + g(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.530276 rounded to 2 dps?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**4 - 58568*t**3 + 214212352*t**2 + 1287383424*t = 0.\nAnswer: -6, 0, 7324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s + 3146 - 3623. Solve 16*y = -27 - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.873682 microseconds to days.\nAnswer: 0.000000002949926875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*z = c, 2*c - 3*z = 0. Suppose n = 5*u - 311, c*u + u = -n + 61. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*k**2 + 9\/2*k - 21\/4 = 0. What is k?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 79. Solve 3*q = 4*a + q - 10, 2*q - 10 = p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9.2. Let x = -70912\/55 - -14178\/11. Which is the third smallest value? (a) 2\/7 (b) -2\/9 (c) v (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/((m\/(m*m*m\/(m*m*m*m*m**(1\/18)*m)*m))\/m))\/(m*m\/(m*((m*m**(8\/3))\/m)\/m)))\/(m**(2\/3))**(-39) assuming m is positive.\nAnswer: m**(515\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*g*q**3 - 4*g + q**4 + 9 wrt q?\nAnswer: -126*g*q**2 + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4824, 1, -4 in decreasing order.\nAnswer: 4824, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*o**3*w**4 + 80*o**3*w - 29*o**2*w**4 + 2*o*w - 2*w**2 wrt w.\nAnswer: 672*o**3*w - 696*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 2, 0, -14, -46?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 157 = -3*i, i - 5 = z + 48. Let m = i + -52. Solve m*u + d = -3, -3*u - 3*d - 18 = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 + (5 - 10) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**3 + x. Let c be b(1). Let d = 10 - 9. Suppose -11 = -4*g + d. What is the highest common factor of g and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 4*d - 1. Let b(h) = -858*h**2 + 1716*h + 429. Calculate 5*b(a) + 2145*o(a).\nAnswer: -2145*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1850?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61795.1km to meters.\nAnswer: 61795100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -13a07?\nAnswer: 13a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -136, 14, -3, -2, -8 in decreasing order.\nAnswer: 14, -1, -2, -3, -8, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6565625 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6340 - 6313 + 12653 - 320*f. Let y(m) = -19*m**2. Give u(y(i)).\nAnswer: 6080*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -82, -126, -170, -214?\n\"Answer: -44*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19392156 by 2.\nAnswer: -9696078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 19*l**2 + 164*l + 37. Calculate v(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7663 and 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*r - 964*r = -4626 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13863317.8 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1008831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:24 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*u**4\/2 + 7125*u**3\/2 + 70893*u**2\/2 - 56325*u\/2 - 10857 = 0. What is u?\nAnswer: -329, -11, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -31 (b) -1\/2 (c) -15 (d) -1\/449\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35723825*d**2 + 19577243*d?\nAnswer: 71447650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*f + 783*f = -1918*f + 57540 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - 0.24. Let u = q + -6.95. What is the closest to u in 0.1, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/119 in 1, 2, -154?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -251, -243, -227, -203?\n\"Answer: 4*l**2 - 4*l - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.729389 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920299 is divided by 3141?\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - 7*s + 203. Let x be v(-8). Let f(l) = -23*l - 3. Let a(t) = -23*t - 4. Give x*a(i) - 4*f(i).\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 10202211?\nAnswer: 10202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5587 - 1517. What is the highest common factor of p and 555?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56087\/10 - 5615. Let h = 37820505097\/2836843581 + 1769\/635921. Let x = -2\/1487 + h. Find the common denominator of x and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10665, 10661, 10647, 10617, 10565, 10485, 10371?\n\"Answer: -z**3 + z**2 + 10665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6 + 22 - 10*t - 11 - 4 - 7. Determine o(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -15*q + 5. Let f(o) = 2*o - 2. Let s(p) = -f(p) - m(p). Let x(a) = 390*a - 91. What is 91*s(y) - 3*x(y)?\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 317*z**5 - 475*z**5 + 1 - 2 - 5*z**5 + z**5 + z**5 + (-4 + 3 + 0)*(0*z**4 + 0*z**4 - 2*z**5) + 0*z**5 - 2*z**5 - 3*z**5.\nAnswer: -164*z**5 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.06 + -8. Let v(o) = 6*o + 21. Let y be v(-3). Let r be (-8)\/16 - (1 - (6 - y)). What is the third biggest value in -3\/4, d, r?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 = -17. Let b(y) = 20*y + 10. Let m be b(k). Let i = 15 - m. What is the remainder when i is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 2*v - 1. Let y be a(-2). Let u = y - 11. Let x = u + 22. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -520510 (base 8) to base 16.\nAnswer: -2a148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 502.1 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2553*b - 330*b**3 + 278*b**3 - 7*b**3 - 3*b**2 wrt b?\nAnswer: -354*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1060.9 - -1061. Which is the closest to 1\/45? (a) -2 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.51 + 1.31. Which is the closest to 1\/2? (a) k (b) 18\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 o, and 1 t when four letters picked without replacement from {o: 1, t: 4, f: 9}.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**2 + 403*n + 1082?\nAnswer: -6*n + 403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*q - 940 + 297, n + 5*q - 134 = 0. List the prime factors of n*(5 + (-33)\/(-9)) + 0.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkukkktkkkkk. What is prob of picking 4 k?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*j**2 + 1330*j**4 + 8*j**5 - 1330*j**4 wrt j.\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338549*q + 3 - 103*q**2 + 338549*q.\nAnswer: -103*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7*m + 6*m - 109, -r - 101 = m. Let x be ((-35)\/m)\/((-1)\/(-36)). Solve 0 = 3*c + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.3 + -10.9. Let h = 1055883.50000002 - 1055883.9. Let f = h + s. Round f to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 63 = 263. Let p(w) = -73*w**3 + w. Let s be p(-1). Let m = s + o. Calculate the remainder when m is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*(-3)\/2. Suppose r*l = 4*y + 51, -3*l - 4*y + 52 = -23. Let t = 424 + -421. Sort l, 5, t.\nAnswer: t, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/33124021 or 0?\nAnswer: 2\/33124021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22 - 52 - 233*n + 191 wrt n?\nAnswer: -233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190541440 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*w = -1286 - 2704 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 18 = -5*y - 1, y - 3*j - 6 = 0. Let z = 4 + -9. Put y, z, -4, 2 in decreasing order.\nAnswer: y, 2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/4 + 27*w**4\/4 - 195*w**3\/4 + 169*w**2\/4.\nAnswer: -w**2*(w - 13)**2*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161114374 to the nearest integer?\nAnswer: 34075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 74*g**2 + 13*g + 143. Let p be h(-6). Suppose 0 = 3*k - p - 316. Calculate the greatest common factor of 35 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21902, 43800, 65696, 87590?\n\"Answer: -l**2 + 21901*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10560 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280194008?\nAnswer: 2, 35024251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1362440.885 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1127453 (base 9) to base 11.\nAnswer: -386686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:00 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 0, -25, -70, -141, -244?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/35 + (-1)\/5. Let k(u) = u - 42*u**2 - l + 41*u**2 + 2. Let y(x) = x**3 - 11*x**2 + 11*x - 11. Give -66*k(d) + 6*y(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22524200 (base 6) to base 11.\nAnswer: 435677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 40*f**2 - 8*f - 295. Let j be o(-40). Solve 0 = -5*r + z + 2, j*z = -3*r + 27*z - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236365 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -4*y - 6*c + 7, 5*c + 5 = 5*y. Solve y = -3*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**8)**46 assuming b is positive.\nAnswer: b**(-322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2 - 3*n + 3. Let r = -21 - -26. Let c be w(r). Let u = c + 7. Solve 4*g = -g + u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 727177*y**4 + 8*y**3 + 15441707 with respect to y.\nAnswer: 2908708*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 88.29759 days?\nAnswer: 7628911776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {n: 3, z: 1, t: 4, y: 1, c: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189796 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**4 + 3*a**2 - 3*a**2)*(0 + a + 0).\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1536)\/(-3456) - (-1778)\/63)*18\/4.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12*v - 41. Let q be (5 + -5 - 5) + 1. Let o be (-6)\/q*(-2 + (-32)\/(-3)). Let g be x(o). Calculate the greatest common factor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3374 = 10*q - 3*q. Suppose 4*z + q = 8926. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 1244*s - 1248.\nAnswer: 4*(s - 1)*(s + 312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y. Suppose 12 = 5*h - 18. Let m be (-49)\/35 + h\/(-10). Let q be (m\/4)\/(6\/108). Let o(s) = 4*s. What is q*o(c) - 2*p(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 486190.\nAnswer: 486190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456166 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3 = d, -2*d = -2*w - 4 - 2. Suppose -n - 3*j = 4*n - 14, -d = -j. Suppose 5*k = 3*v - 0*k - 16, 0 = 2*v + 5*k + 31. Are n and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -2*(sqrt(70)*-1 - sqrt(70)) + sqrt(70) + sqrt(70))*1)\/(-3*sqrt(1440)*1).\nAnswer: -7*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/((5 - -1)\/3). Suppose -t = 5*x - 11, 3*m = -5*x + 52. What is the remainder when m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205943683 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1748.32 and -0.5.\nAnswer: -1748.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4237831*m**3*y - 2*m**2*y + 157*m*y - 17 wrt m?\nAnswer: 25426986*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37743359.\nAnswer: 37743359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225992 is divided by 4346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -595, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -952 + 951. Let i = -0.08 + 4.08. Let g be (1\/2)\/(-3*3\/(-90)). Sort g, i, 1, n in descending order.\nAnswer: g, i, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3048 - -125?\nAnswer: -2a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*q = -64, 2*q - 20 = 2*h - 4*h. Let m be (2 - 7) + 0 + 52\/h. Let v = 8 + -11. Which is the second biggest value? (a) m (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 453, 1 in descending order.\nAnswer: 453, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsgvsog. What is prob of picking 2 s, 1 o, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(176) + 0 + sqrt(11) + sqrt(528)\/sqrt(3)))**2 + -5.\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -33 - (-7 + 7) - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = r + 3*a - 6, -5*a = 5*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 27352*u**4 - 5*u + 2*u - 27348*u**4 - 16 to v*u**2 + s*u**4 + m + a*u + q*u**3 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6998*f + 1677. Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 - 235. Let t = -22 - -14. Is 812\/t*(-2 - l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - (-8 + 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740935.\nAnswer: 5, 13, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -417627*y**4 + 417630*y**4 + 2*y - 6*y + 6*y**2 to the form c*y**4 + v*y + f + q*y**3 + n*y**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {g: 1, v: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/8 - 291*h**4\/8 + 132297*h**3\/8 - 10640773*h**2\/8 + 16528401*h\/2 + 202173741\/2 = 0. What is h?\nAnswer: -561, -6, 14, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/4 + 5*k**2. Let i(d) = 2*d. Calculate i(t(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2. Let v(t) = t - 5. Let k(i) = -2*v(i) - 5*w(i). Let c(m) be the second derivative of 0*m**2 + 0 + 2*m + 1\/2*m**3. Give c(k(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -97*a**2 - 2429*a - 44. Give b(-25).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*x - 2*c - 56, -4*x - c = -60. Suppose -x = j - 3*j. Let l be (-2)\/9 + 2\/9. Solve l = -i + 5*i - j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/98 and -12\/346675?\nAnswer: 693350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690.0514 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5304065, -5304061, -5304057?\n\"Answer: 4*o - 5304069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttf when three letters picked without replacement from fftttfttffft.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/2 + 777*m\/2 + 155.\nAnswer: (m + 155)*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 474, -2, -1 in descending order.\nAnswer: 474, 15, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) + -1)**2 + sqrt(5) + -3 + sqrt(10)\/sqrt(2)*-3.\nAnswer: -3*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2 - 1458*j + 42315 = 0.\nAnswer: 31, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -3*r**4 + 5*r**3\/3 + 12. Find the third derivative of x(g) wrt g.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -j + 17451 + 32068, 0 = -3*r + j + 37141. List the prime factors of r.\nAnswer: 2, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6, 115.\nAnswer: 0.2, 6, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100111000 (base 2) to base 4.\nAnswer: -210320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {v: 1, f: 1, m: 4, q: 2, x: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -81, -238, -537, -1026, -1753, -2766, -4113?\n\"Answer: -8*d**3 + d**2 - 10*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (1 - 2) + (-153 - 5 - -191).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-81)\/12)\/9)\/(2\/(56\/(-35)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, 8.\nAnswer: -17, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*o + 1031*o**3 - 1028*o**3 + 62*o.\nAnswer: 3*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/11)*z**19)**(2\/35))**(-17\/3) assuming z is positive.\nAnswer: z**(-2482\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2010?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37005?\nAnswer: 3, 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 2, u: 1, q: 1, w: 1, a: 2}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*i + a**2*n**3 + 996*a*i - 9*a*n**3 + 2*a - i*n**3 + n**3 wrt i?\nAnswer: 2*a**2 + 996*a - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -395 by -56.\nAnswer: 395\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1329450240 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + k + 1. Let m(t) = 3*t**2 + 42*t + 5. Give -5*b(i) + m(i).\nAnswer: -7*i**2 + 37*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 735, 807, 927, 1095, 1311?\n\"Answer: 24*d**2 + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-8)\/10*(-3795)\/(-22). Let f = t - -1255. Does 37 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -33141?\nAnswer: 33201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. Suppose 3 = l + h. Let p = l - -6. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -2*h - 2*h. Let d(w) = 2*w**3 + 7. Let l be d(0). Let b = h - l. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 517 - 1461. Let t = -129 - i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + 148. Let y be (n\/(-36)*-2)\/7. Let x = y - -2\/21. Put x, 0.4, -0.5 in ascending order.\nAnswer: -0.5, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(200) - -4*2*sqrt(200)) + sqrt(200))**2 + sqrt(2)*-2*-6 + 1).\nAnswer: 12*sqrt(2) + 20001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*r - 19 + 33 + 2 + 8*r to the form k*r + w and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.119 and 14976.45.\nAnswer: 1782.19755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7012 is divided by 64.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41\/((-5535)\/45)*((-48)\/78)\/2\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89449407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8456058 - -781.\nAnswer: -8455277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 4*f + 0*f + (-2*f + 8*f + 0*f)*(1 - 4 + 7) + (0 - 1 + 3)*(0*f - 2*f + 0*f).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 314 - 4. Put 2, 0, g, -2 in descending order.\nAnswer: g, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s + 7. Let g be k(9). Suppose 0 = -4*u + b + 903, -18*b - 457 = -2*u - 23*b. Let v = u + g. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1872, 1, -7, 2, 5, -4, -1 in decreasing order.\nAnswer: 5, 2, 1, -1, -4, -7, -1872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffcccf. Give prob of picking 1 f and 1 c.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**5 + 39*q**4 - 4*q + 5 - 10*q**5 - 2*q**6 - 6*q**2 + 2*q**5 + 27*q**2 wrt q.\nAnswer: -240*q**3 - 120*q**2 + 936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**5 + 2*s**3 + 12*s**2. Let v(k) = k**3 - k**2. Let d(r) = h(r) - 2*v(r). What is the third derivative of d(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222712 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50416 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 1. Suppose -3*i - 4*r + g = -3*r, 0 = 3*i - 4*r - 38. Let c(x) = 516667*x**2 - 2*x. Let p be c(i). Round p to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157846, 164525, 175666, 191275, 211358, 235921, 264970?\nAnswer: 298511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 415746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 1. Suppose 0 = n - 55 - z. Let f be ((-12)\/n)\/((-4)\/(-10)). Which is the smallest value? (a) f (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t**3 - t**2)*(-5 + 5 - 1)*(-1957 - 388 - 444 + (0 + 3 - 4)*(0 + 1 - 2)).\nAnswer: 5576*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 6. Let j be w(9). Suppose -g - 178 = -3*g - j*v, 103 = g + 5*v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4 + 9. Let s(f) = -4*f + 38*f**2 - 21*f**2 - 15*f**2 + 4. Let q(c) be the first derivative of -c**2\/2 + c + 1. Give d*s(i) + 4*q(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739 = -4*b + 743 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -35*a + 632. Give w(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 5*a**2 - 18*a + 17. Calculate c(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 2 - (-49 + 41) - 13 - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 3*j**2 - 2*j. Let v be (2 - -43)*10\/25. Suppose -11*z - v = 26. Determine h(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-57)\/19)\/((-5)\/2 - -1). Suppose 11 = -4*k + 4*a - 5*a, -q*a = -3*k. Sort -16, 3, k in descending order.\nAnswer: 3, k, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*v - 37 = -396*v - 5*z, -2*v - z = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 169 = -178 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 183*t - 154*t - 2054772 - 281294. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1646 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -72 + 238 - 2*x + 3*x. Let i be f(0). Suppose -i + 31 = -5*c. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 12029, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 31. Let k(c) be the second derivative of 2*c**3\/3 + 46*c**2 + 14*c. Let v(p) = 3*k(p) + 8*x(p). What is the units digit of v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-48) - (-3 - (2 + -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5982 a factor of 357861186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 - 825*a**3 + 830*a**2 = 0. What is a?\nAnswer: -166, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1139, 1134, 1127, 1118, 1107, 1094?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052 less than 347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfspszvzszzzsvz. What is prob of picking 2 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 786753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3)\/(-8)*2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120266737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2740 and 24.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 331 + 14?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -414, -865, -1492, -2301?\nAnswer: -3298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 155.8 and -8589.83729.\nAnswer: -8434.03729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 4. Let z be j(10). Let a be (-4)\/z + (-8)\/(-12). Suppose 4*w + 0*w = a. Solve -2*m + m + 4 = w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744, -742, -738, -732?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from estwet. What is prob of sequence ws?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 8*k + 5. Suppose -16*j + 17*j - 1458 = 4*d, 0 = 5*d - 4*j + 1828. Let c = 372 + d. Determine i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2*y + 219206*k**2 - 11*k*y**2 - 5321*y**2 - 20817*y wrt k.\nAnswer: -2*k*y + 438412*k - 11*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. Suppose h*b - 7 = 3. Solve 2*w = -2 - b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 + 10*r**3 + 5 + 5*r**2 - 5*r**3.\nAnswer: -4*r**3 + 5*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16fb7 - 1?\nAnswer: 16fb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 18687\nAnswer: 35\/18687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*j = -3*g + 232, -116 = -2*g + 3*j. Suppose g = 4*u - 2. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:25 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -344, 5, -4 in increasing order.\nAnswer: -344, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 6. Let d be l(2). Suppose 9*n + d - 1 = 0. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 673.2 * 21.344.\nAnswer: 14368.7808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150*(-84)\/(-54)*144\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2. Let z(k) be the third derivative of 0 + 0*k**3 - 13*k**2 + 11\/10*k**5 + k + 0*k**4. Calculate z(f(q)).\nAnswer: 264*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1973781, 7895114, 17764007, 31580460, 49344473, 71056046?\nAnswer: 96715179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let q(c) = 5*c - 1. Let l(k) = 14*k. Let t(m) = -9*m. Let f(h) = -5*l(h) - 8*t(h). Let o be f(-2). Let v(n) = o*q(n) + 9*u(n). Determine v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-5)**2*-2 + -1 + 0.\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from tttgaxtagax.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1533, -5, -9 in increasing order.\nAnswer: -1533, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose 5*g - 1 = 14. Solve -b - b + 19 = 3*n, -g*b - 3*n + 24 = d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1097*s - 62230 = -1132*s. What is the remainder when s is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/q*q**1*(q*q**(-3))**(2\/39))**(1\/13) assuming q is positive.\nAnswer: q**(-355\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 0.1484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**6\/120 - c**5\/12 - c**4\/3 + c**3 - 6*c**2 - 3. Let r be b(-4). Calculate the highest common factor of 88 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 3*v + 83. Let q be a(-8). Let m be (3\/q)\/((-56)\/16240). Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7864 divided by -1966.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0658 + -3.0658. What is the biggest value in 0.4, -19\/4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.876995nm in kilometers?\nAnswer: 0.000000000001876995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -447, -639, -831?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3492146417.\nAnswer: 3492146417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z - 3*z + (0*z + 3*z - 4*z)*(-3 + 2 + 0) - 2 + 2 + z + 13*z + 6*z + 7*z.\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, -5309, -4 in decreasing order.\nAnswer: -4, -287, -5309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/15 - 1661115\/(-110). Let f = -15104 + v. Find the common denominator of f and -47\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225720 divided by 25080.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 - -164. Let b be 56\/m*(-20)\/2. What is the highest common factor of b and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) -4744\/11 (c) 2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-37)\/4 + 2\/8. Let k(r) = r**2 + 9*r + 2. Let v be k(s). Suppose -7*p + 8*p - v = 0. Is -2 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56.22 and -28328.\nAnswer: -1592600.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 6. Let l(r) = 6*r - 7. Let q(t) = 7*c(t) - 6*l(t). Let y(g) = 4*g**2 - 5*g**2 - 3*g**2 + 5*g**2. What is y(q(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 21*l**2 + 60*l + 111. Calculate b(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-7))\/((-11178)\/(-3756) - 3). Let o = -747\/7 + u. Factor 0*h**2 - o*h**3 + 0 - 6\/5*h**4 + 0*h.\nAnswer: -3*h**3*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2746)\/(-4) - 10\/20 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5763*c = 21308*c - 3546301 for c.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3895 - 154496\nAnswer: -158391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65444436 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 16 = 5*a, -339*b + 335*b = -2*a + 86 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 7 = -x, 2*d - 6 = 0. Let y = x - -10. Solve 0 = 5*p - y*o - 18, 0 = 2*o - 3 + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44473069?\nAnswer: 41, 607, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 23*c**3\/6 - 12*c**2 + 26*c. Differentiate i(f) with respect to f.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let l be 18\/(-5) + 4 + 408\/(-20). Let s be (l\/175)\/(6\/(-45)). What is the second smallest value in f, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -23.619 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, c: 2, m: 3, x: 3, t: 3}. What is prob of sequence cc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 6*m + 0*m)*(4 - 4 - 2 + (-2 + 2 + 2)*(2 - 5 + 2) + 3 - 1 - 4 + 67 + 50 - 68) as b*m + q and give b.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 43 = 5*w, -4*h = -2*w + 122 - 126 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10941, -20947, -30955, -40965, -50977, -60991?\nAnswer: -71007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26471 + 11917. Suppose 3*g + g = -3*u - t, -4*g - 38392 = 2*u. Round g to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43 + 118722?\nAnswer: 118765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 463956 and 309304?\nAnswer: 927912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2652649317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 3*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5507?\nAnswer: 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*a + w, 6 = 2*a + w + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/55930390 and 71\/100674702.\nAnswer: 503373510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010000 + 1110010?\nAnswer: -11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252957131 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208573123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8*o - 11. Suppose -3*j + 4*k - 2*k - 20 = 0, 5*j + 29 = -k. Let v be h(j). Let y(w) = -w**2 + w - 8*w**3 + 3*w**3 - w**3. Determine y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Suppose -5*g + v = -1, -n - 2*g = -21. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*g + 393, -4*u + 6*g + 318 = 4*g. Suppose 5*m = 2*s - 38 - 7, m = -4*s + u. Solve 0 = 4*w + 4*o - s, 13 = 2*w + 4*o + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727250.\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23579.21 nanoseconds to seconds.\nAnswer: 0.00002357921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 17 - 26 + 8 + 3*v - 7*v + 3*v + (3*v - v - v)*(-3 + 4 + 1) - 4*v + 2*v + 4*v.\nAnswer: 2*v - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) - -1*-2*sqrt(475).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 113, 249, 439, 683, 981?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 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: What is the ten millions digit of 201971565?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 2*r + 5. Let o(f) = -2*f**3 - 2*f + 4. Let i(p) = -p**2 + 10*p - 12. Let n be i(7). Let j be (-21)\/n + 8\/(-12). Give j*o(t) + 2*g(t).\nAnswer: 2*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 132*q + 2. Let u be k(1). Let l = -26 + u. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 1364*g + 465124 = 0. Calculate g.\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3 - 3 + 8 + 23 wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -246289? (a) 0.9 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25604 and 9342000.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (13 + -9 - (8 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*0.05.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/8 - 5*c**3\/6 - 20*c**2. What is the units digit of y(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 9 (c) 1\/13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2501)\/(-6) + 7\/42. Suppose a - 163 = c, -5*c = -a + 135 + 676. Let n = c + b. Is n a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 21. Let k(l) = 3*l**2 + 16. Give k(w(i)).\nAnswer: 3*i**2 + 126*i + 1339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -162, -188, -214, -240, -266?\n\"Answer: -26*r - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + u = 3*i - 10, u = -2. Let q(x) be the first derivative of 2\/15*x**3 + 0*x**i + 1 + 0*x. Factor q(y).\nAnswer: 2*y**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfbfbbffbfbfbbj. Give prob of sequence jjf.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -35, -45?\n\"Answer: -10*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 7*l + 2. Let a be 2 - (-11 + 2 - (2 - 7)). Give f(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 3 + 3*o**4 - 2 + 2*o - 2*o**2 in the form y*o + g + a*o**3 + x*o**4 + q*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 0)\/(8\/(-16)). Let r be (56\/21)\/8 - 32\/o. Which is the closest to 1\/4? (a) -3 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m - 21*m - 14 + 39*m wrt m?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5\/2, 1\/48, -2?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*r + 4. Let j(b) = -b**2 - 9*b + 6. Let c(w) = w - 1. Let p(a) = r*j(a) - 3*c(a). Calculate p(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6851 - 6861. Let o(r) = -16*r**3 - 2*r**2 + r + 2. Let k be o(2). Let q be k\/16 - (-1)\/4. Does h = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -31 in descending order.\nAnswer: 3, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1637 in 0.4, 4, 3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-6)\/(-8)*46\/69. Is (300\/(-40))\/(r\/24) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (-10 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6984 - 6984.000005826. Round p to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5 + 44. Let u = g - -22. Let d = u + -1. Solve -d = -2*m + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 11*u**2 - 12*u - 10. Let y be d(12). Let l(r) = -135*r + 140. What is the tens digit of l(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -x + 4*t, 0 = 2*x - 6*t + t + 1583 - 3134 + 1565 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84865 and 2134?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1136*l**5 + 2596*l**2?\nAnswer: -68160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -17*y**7\/1155 + 61*y**6\/132 - 303*y**5\/55 + 27*y**4 + 72*y**3\/11 - 834*y**2. Determine n so that f(n) = 0.\nAnswer: -1\/17, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.17, -4, 2.911?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16901951 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -35. Calculate the highest common factor of 104 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 - 2*u - 2 + 7 + 8*u + 0*u + 1. Let v(r) = -9*r**2 + 5*r + 5. Give -5*l(w) + 6*v(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p - 30 = 0. Suppose -z = -4*n - n + 22, 3*n = 3*z + p. Is 8\/(-6) + 1873\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 3. Let b(u) = -u**2 - 5*u + 1. Let v be b(y). Suppose -2*q = -v*q + 12. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 - 164. What is the nearest to 0.1 in k, 3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*j + 2*r - 4, 4*j - 36 = 4*r. Let d = j - 4. Let u = -6.2 - -6. Which is the third biggest value? (a) u (b) 2\/13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -1041, -1462, -1815, -2100?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12741414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*r = -0*r - 145, -3*r - 135 = -3*l. Suppose -j = 4*j + l. Let x = 13 + j. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**3*m*m**7)\/(m**(1\/3)\/m)**(-30) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 9 + 9)*(1 - 1 - z + (1 + 2*z - 1)*(-3 - 1 + 3)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 45302167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*n - 14*n. Let r be (n + 0)*15\/(-330). Let p = -0.2 - -0.1. What is the closest to p in r, 5\/4, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 8*g - 24*g)*(0 + 1 - 3)*(0 + 2 + 1)*(0*g - 6*g + 4*g).\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*i**5 + 4*i - 4*i - 28*i + 4*i**5 wrt i.\nAnswer: -620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2 + (-2 - -4) - -35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021 (base 3) to base 13.\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -23 in descending order.\nAnswer: 1, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*u = -2*u - 4, -2*g - 21 = -5*u. Let w = -8 - -11. Suppose -3*z + l + 19 = -z, 2*z - 17 = w*l. Solve 0*k = -g*k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 127382457.\nAnswer: -127382453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 4:50 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -6\/67 (b) 1 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(66) - (sqrt(66) + 1*sqrt(66)))*1*-4)\/((sqrt(96)*-3 - sqrt(96) - sqrt(96)) + -6*(sqrt(6) + sqrt(150)) + sqrt(6) + sqrt(6)).\nAnswer: -2*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.5, -2\/11, -158, -1\/10, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*n = 11, 5*i + 2*n = 36 - 26. What is the closest to -1 in i, -5, -23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 127062160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 + 2*b**2 + 0*b**2. Let t(z) = 15*z**2 - 10*z. Let d(r) = 8*r**2 - 4*r. Let f(a) = 5*d(a) - 2*t(a). Calculate f(i(o)).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.3 and 0.11.\nAnswer: -2.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8 - 3*a + 4*a - 2 + 0. Let b be l(0). Solve -b = -2*g + 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 231633?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225883 and 26261354?\nAnswer: 9821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -48929 at least -244646\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/18102 and -29\/9482.\nAnswer: 199122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627690.546ms to weeks.\nAnswer: 0.001037848125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 199948843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12*o*o*o**11\/o*o**12\/(o**(-25)*o) assuming o is positive.\nAnswer: o**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9210.\nAnswer: 2, 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/7 (b) -1\/6 (c) 72.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 39 + 29*q**2)*(-2*q - 10*q + 0*q).\nAnswer: -348*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-514)\/(2 + -9 + 5) is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6 + 2 - (15 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 5*z + 15. Let n be i(2). Suppose 0 = -n*k + 3*k + 7*k. Factor k*y + 2\/5*y**2 - 2\/5.\nAnswer: 2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 6*s + 3. Suppose 0 = -x - 4, 3*h - 2*x + 0 = 23. Let i(p) = 3*p**2 - 5*p - 2. Calculate h*i(a) + 4*k(a).\nAnswer: -a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 86*k - 471. What is f(-5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16851, 104, 5, -3 in descending order.\nAnswer: 104, 5, -3, -16851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -8*v - 9*v + 1989. What is the greatest common divisor of v and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 373 = -29. Let z = r - -91. Factor -1\/3*a**z - 1\/3*a**4 + 2\/3*a**3 + 0*a + 0*a**2 + 0.\nAnswer: -a**3*(a - 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r - 0. Let p(m) = -3 - 17*m**3 - 4*m**2 + 12*m**r - 2*m + 6*m**3. What is the units digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**8\/1176 + f**7\/735 - f**6\/210 - f**5\/105 + f**4\/84 + f**3\/21 + f**2. Let n(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6. Let o(f) = f - 18. Let z be (22\/(-8) - -1)*(-56)\/(-14). Let a(m) = z*q(m) + 2*o(m). Let s be a(-6). Which is smaller: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*q + 2*f - 35, q - f = 2. Sort q, -12, 0 in descending order.\nAnswer: q, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.82291861 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -57. Let w(q) = q**3 - 20*q**2 + 34*q + 42. What is the remainder when z is divided by w(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -4, -2, -2039 in descending order.\nAnswer: 4, -2, -4, -5, -2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(70)*3*2 - sqrt(70)) + -2*(sqrt(70) + (sqrt(70) - (sqrt(70) - sqrt(70)*-3))))\/(4*sqrt(40)\/(sqrt(32)\/sqrt(32) + sqrt(4))).\nAnswer: -81*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 12\/(-2) - 8\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 3) + (-6)\/(-1). Let z = -9 + m. Put z, -0.1, 3 in decreasing order.\nAnswer: 3, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -403316?\nAnswer: -403321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*r**4 + 1074*r**3 - 2*r**2 - 2*r - 644384 wrt r?\nAnswer: 68*r**3 + 3222*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857341.\nAnswer: 857341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*a + 11 = 6*p, -4*a = 3*p + 19. Let i = p - -1. Let h = 14 - i. What is the remainder when 26 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-6))\/((-1)\/(-4)))\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4)*h)\/h**(-1\/8))\/(h**(-1)\/h)**(-38) assuming h is positive.\nAnswer: h**(-623\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 468341 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 + 8*f**2 - 7*f + 1. Let p(h) = 2*h**3 - 4*h**2 + 3*h - 1. Give 7*p(k) + 3*s(k).\nAnswer: -k**3 - 4*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 464*l**3 - 25 + 471*l**3 + 7*l**2 - 1405*l**3 + 468*l**3 to t*l**3 + n*l**2 + c + b*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.1654 + -0.4554. Round i to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79336822 to the nearest integer?\nAnswer: 8907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, 0.1, -0.038 in ascending order.\nAnswer: -0.038, 0.1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 12\/45305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8506318*j**2. Let g(b) = -60*b**2. Determine g(r(d)).\nAnswer: -4341446755027440*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - 68) + -1 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1284 and -0.167.\nAnswer: -0.0214428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 2, s: 6, h: 2, u: 2}. What is prob of sequence sfs?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - (sqrt(304) - -2*(-1 + sqrt(304))))**2 + 1*(-1 + sqrt(304)) - -5*(0 + sqrt(304) + 1)**2)*-1 + 2)*-6.\nAnswer: 72*sqrt(19) + 16452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10210 or -6533?\nAnswer: -6533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2166 and 19675146.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 15. Calculate the greatest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 20, 2*d - 4*d - 577 = -5*h. Let y = d - -523. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 50 = -2*f. Let g = f + -18. What is the lowest common multiple of 2 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -188. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -4, 33318, 0.1, 5, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/4))**(-25)*(h**(1\/2))**(-1\/2) assuming h is positive.\nAnswer: h**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26503119.4 rounded to the nearest 100000?\nAnswer: 26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22087 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.3 + -5. Let u = -5.9 + 5.4. Let r = 17 - 12. What is the smallest value in b, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 334 - 327. Let i be 0\/(4 + -10 + a). What is the second biggest value in i, 1, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55588 and 3406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 8:52 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 5*t**2 - 10*t**2)*(-2*t - 2*t + 0*t) + (-t - 2*t + 4*t)*(303*t + 34*t**2 - 303*t).\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 9. Let l be (6\/9)\/((-6)\/9). Let h = 3 + l. Which is the nearest to h? (a) -1\/3 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 20 = -4*f, 280*w - 278*w = -8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 7*r**3 - 3*r)*(3*r + 0*r - r) - 5*r**4 + 11*r**4 + 4*r**4 to u*r**4 + l + s*r**2 + m*r + z*r**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(2\/21)\/b)\/b))\/b**17 assuming b is positive.\nAnswer: b**(-317\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 11 + 13 = 9*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = -9. Let w be k\/(-3) - 1 - (-40)\/4. Solve -o = 4*r + 3*o + 36, -5*o - w = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 27, 13, -17, -69?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let k be (6 + p)*-1 + 1. Let t = 5 + k. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/8 - 137*y\/8 + 105\/2.\nAnswer: -(y - 3)*(y + 140)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 793, 791, 787, 781, 773?\n\"Answer: -n**2 + n + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 264.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 3\/5 (c) -966 (d) 3\/2 (e) -1\/8 (f) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + 0 - (-2 + -3) - 7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Let p(r) be the second derivative of -r**5\/20 + r**4\/12 - r**3\/6 + 63*r**2\/2 + 4*r. Does 21 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*(4 - 3) - -2) + (-38 - -41). Let r be 4\/6 - 39\/(-9). Suppose -3*d = d - 12. Solve -d*i - p = -r*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29732747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10294746 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h**2 + 5*h + 1. Give m(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + 2 + 19 + (8876 - 8921)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j - 8. Let g be q(-6). Let u be (-12)\/14*14\/(-3). Sort g, -5, u in increasing order.\nAnswer: -5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -7*j**5\/20 + j**4\/3 + 5*j**3\/3 + 9*j**2\/2 - 9*j. Is o(-3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -52*v - 37. Give x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(-1*sqrt(6)))\/(sqrt(300)*-1) - sqrt(60)\/(4*sqrt(48))*-3)**2.\nAnswer: 529\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 - 52*c + 146. What is t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-102))\/((-2)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*j**3 - 220*j + 220*j.\nAnswer: 112*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 y when three letters picked without replacement from eeeeeeeeeeeyyeeeeee.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 26*u**2 + 26*u - 55. Calculate r(12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38189 is divided by 12357?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = q + 3*q. What is the least common multiple of 20 and (6 + -2)\/(2\/q)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 1166*r**2 + 1160*r**2 - 3486*r**2 + 1160*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2, 8, -5 in decreasing order.\nAnswer: 8, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose -4*m = -m - 27. Suppose -m = -c*x - 3*x. Solve 0 = 5*p + x*q + 15, -4*p = 2*q + 8 + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 8*b - 19. Calculate the remainder when 22 is divided by p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-854)\/488)\/(539\/(-264))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771445?\nAnswer: 5, 13, 27253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f + 4*f - 161*f - 2288 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f + 5*f + 85 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11042 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 60. Suppose 0 = 4*r + s + 7, 2*s = -2*r - 2*s - 14. Let y(g) = 3. Let k(i) = r*j(i) - 20*y(i). Let b(h) = -16*h. What is k(b(u))?\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -3806 (c) 32.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -0.8?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjssrsrrsshhh. What is prob of sequence hshh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41504034412.99999403 - 41504035613. Let n = a + 1200. What is n rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -87691*a + 1 + 14 + 2. Suppose 15*l - t + 8 = 14*l, 15 = -3*t. Let f be c(l). What is f rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2\/(-2))*0. Suppose 3*x - 2*x = b. Let w be -2*(-1)\/(2\/(-4)). Put x, 2, w in descending order.\nAnswer: 2, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(-6)\/36*2*-36?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2289, 5, 2 in ascending order.\nAnswer: 0, 2, 5, 2289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 2, f: 1, c: 6}. Give prob of sequence ww.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -2*j**3\/3 + j**2 - 38*j + 10112. Let w(b) = b**3 + 7*b**2 - 7*b + 114. What is 7*u(m) + 2*w(m)?\nAnswer: 2*m**3 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94499\/12 + -7875. Which is the nearest to -1\/5? (a) v (b) -18.8 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24875922.6 to the nearest ten thousand.\nAnswer: 24880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v - 1. Let k(j) = -2*j**2 - 13*j - 3. Let a be k(-6). Let n(u) = a*u + 52 + 2*u - 54. Let r(o) = -3*c(o) + 2*n(o). What is r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.424 and -0.045.\nAnswer: 0.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 44\/5, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 i when four letters picked without replacement from {a: 11, i: 9}.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 38. Suppose -5*w + 2*b - 5 = 5*b, -5*b - y = -w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*y - 48, 9 = y + 13. Let d(s) = -s**2 + 12*s - 15. Calculate d(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10*o = 0. Suppose 3*h = -o*h + 3*u - 14364, 2*u - 4788 = h. Is h\/(-10) + (-14)\/(-70) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 108. Let l be (6*6\/z)\/(2\/(-3)). Let c(q) = -q**3 - 2*q**2 - q + 1. Determine c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 674 + 1029*v - 340 - 334 to the form k*v + o and give k.\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21054 - 21051. Which is the closest to j? (a) -4 (b) -2 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1568 + -1558. Solve 3*r + 5*a = r + j, -3*r - 5*a = -10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**7\/315 - f**6\/180 - 4*f**2 + 14*f. Let o(u) be the first derivative of q(u). What is h in o(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/6)\/((-6)\/18). Let x = -10 + j. Let y(w) = -w**2 + 4*w - 1. Let t be y(3). Solve 3*b + t*b = x*m - 21, 4*m = -5*b - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1 (b) -4\/3 (c) 2 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13686557?\nAnswer: 13686557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -4.7 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3120 - 4a19?\nAnswer: -18b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21147609 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnhhonochhloc. What is prob of picking 3 l and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(3 - 90\/25). Let m(i) = -7*i + 6*i + 44*i**c + 115*i**3. What is the units digit of m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z = -0*z + 11, -2*z + 14 = 4*t. Let g be 80 + (-4)\/(t\/(-1)). Find the common denominator of g\/(-4)*(-1)\/(-5) and 97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 446 + 1390. Let c = z - 242. Round c to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821847.6us to days.\nAnswer: 0.000009512125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 1, 10, 33, 76, 145, 246?\n\"Answer: q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/242 + -1473\/1694. Put z, -3, -3\/7 in descending order.\nAnswer: -3\/7, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -2144\nAnswer: 123\/1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 1, i: 2, b: 1, l: 12}. Give prob of sequence bpi.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15361457 (base 8) to base 6.\nAnswer: -203405503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.5 + 2.7. Let o = 2.3 + u. What is the nearest to -2 in o, 0.1, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21315201*q**3 + 19580891*q?\nAnswer: 127891206*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 1107*o = 1111*o - 11, 5*o = -4*q + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**5\/20 + 19*g**4\/12 + g**3\/6 + 23*g**2\/2 - 664*g. Determine q(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.076, -0.66, 2\/23, -366?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -a + 35, -38*w + 36*w = 3*a + 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.14 and 4.14.\nAnswer: 12.9996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74.64599 years?\nAnswer: 895.75188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 75 = 21. Let x = b + 13. Let w be (-39)\/(-2) - (-3)\/6. What is the highest common divisor of x and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 1. Let a(q) = 2*q**3 + 4. Let j(m) = a(m) + 4*i(m). Factor j(p).\nAnswer: 2*p**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*h + 2. What is the remainder when 71 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*i*y + 141*c**2 - c*i - 38*i*y - 2*i wrt y.\nAnswer: 4*c**2*i - 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + 107\/4. Suppose a - 284 = -4*m, -5*a - 355 = -415*m + 410*m. Suppose s = -4*y + m. Solve y = -3*o + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(2 + -2 - 1). Let b = -26 + 27. Solve 5*s + p*l + 5*l = -45, s - l + b = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-8)\/1152*6\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 396.0305323 to zero dps.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3\/7)*g)\/g)\/(g**(-8\/7)*g)*g*g*g*g**(-4\/3)*g*g**(1\/3))**(2\/15) assuming g is positive.\nAnswer: g**(52\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i - 20*i - 23*i - 20096 = 539*i for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5075*o**3 + 4*o**2 - 4. Let c(n) = 2146724*n**3 - 1693*n**2 + 1693. Give 4*c(i) + 1693*g(i).\nAnswer: -5079*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2. Let b(p) be the first derivative of 191*p**2\/2 + 3431. Give b(z(l)).\nAnswer: -1146*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**6\/24 - 37*i**5\/10 + 495*i**4\/4 - 5566*i**3\/3 + 10648*i**2 - 6673. Factor o(n).\nAnswer: n*(n - 22)**3*(n - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -3*s**3 - 3*s**2 - 20. Factor i(h).\nAnswer: -3*h*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - s - 4)*(146 - 121 - 730).\nAnswer: 705*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.428 + -2.532. What is j rounded to one dp?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 49*j**6\/2 - 49*j**4\/12 - j**2 - 4*j - 9. What is the third derivative of w(q) wrt q?\nAnswer: 17640*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (0 - -4) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17999.897 * 5.\nAnswer: -89999.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d**(-1)\/d*d*((((d*d**(-2\/5))\/d)\/d)\/d*d*d)**16*(((d*d*d**(1\/2)\/d)\/d)\/d)**(-15\/2)*d**(1\/8)\/d**(-1\/4) assuming d is positive.\nAnswer: d**(-11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66378 - 66384.8949. Let l = -89 + 95.9. Let r = l + a. What is r rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/3 - 27*v**2\/2 - 338*v. Calculate d(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t - 16. Let h = 11 + t. Let y be h\/15 - 28\/(-10). Solve y = 3*f - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 5 + 10 - (9 - 12).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 1355*w\/4 - 1014.\nAnswer: -(w + 3)*(w + 1352)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7496 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*d - 2*d + 21, k - 21 = -2*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 - 17) - 7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2752*r**2 + 5*r - 2. Let v be n(2). Round v to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (1 + 0))\/(-1). Let j = 1 + i. Suppose 0 = -2*w - j*w. Solve 0 = -d - 5*c - 6, -4*d + 8*d - 4*c = w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 11*v**2 + 16*v - 1. Let r be d(12). Let g = r - 22. Suppose 28 - 3 = 5*a. Solve -g = -a*y + 2*w, y - 2*y - 5*w = 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -d + 5*i - 3, -5*d = -4*i + 10. Let n be 1*d - (9 + -9). Suppose 28 = n*v + 2. Which is smaller: v or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231629, 462307, 692987, 923669, 1154353, 1385039, 1615727?\nAnswer: 1846417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -39\/4. Suppose -5*i - 5*r = -30, -4*r + 3 + 15 = i. Let t be i + -5 + 3 + 1. Which is the smallest value? (a) t (b) 16 (c) -0.3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*t + 2*d, 5*d - 6 = 4. Let p be 5 - 1\/(-2)*-6. Suppose 5*o = v + 1, p*v + 4 = -2*v. Which is the nearest to o? (a) 2 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 20*j - 10*j. Let q(g) = 2*g - 3. Let l(v) = v - 2. Let x(m) = -3*l(m) + 2*q(m). Calculate x(c(b)).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, 5, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 30*a + 2. Let p be v(-1). Let g = p - -40. Which is smaller: 15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 41 = 4*j + 4*r, 5*j - 45 = -2*r. Let u(l) = l - 10. Determine u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -421\nAnswer: 84.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.65 + 0.414. Let x = u + 0.036. Let h be 8\/(-20) - (-2)\/(-5). Which is the closest to x? (a) h (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let w be 1*10*u\/8. Factor 5\/4*c + 5\/2*c**3 + 1\/4*c**5 - w*c**4 - 1\/4 - 5\/2*c**2.\nAnswer: (c - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173786989\/16 + -10870289. Suppose -8599 = 2*f - f. Let i = f - r. What is the common denominator of i and 81\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1494\/13 in 3\/4, -5\/2, -0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-186354)*58*(-18)\/(-28).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 43*x**3 + 2*x**2 - 6*x + 4. What is the lowest common multiple of 100 and l(2)?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-185)\/45 - 1 - 1\/(-9). Suppose 0 = 5*t - 3*t - 6. Let d(z) = -z**t - 4 + 1 + 2*z**3 + 4*z**2 - 6*z. What is d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 2\/3 (c) 4\/2033 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012870972 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4014 is divided by 310.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -6849?\nAnswer: 47\/2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ull when three letters picked without replacement from {u: 9, l: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -60294, -60287, -60278, -60267, -60254, -60239?\n\"Answer: k**2 + 4*k - 60299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -782801 divided by 2?\nAnswer: -782801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 2:06 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.461117 + 0.41165. Round f to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108821 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/sqrt(48))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2417697 is divided by 410?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 77875*o + 1090241. Calculate m(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/2 - m**3\/3 - m**2\/2 + 24*m - 25. What is the second derivative of g(s) wrt s?\nAnswer: 12*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.96 - -0.04. Let k = 0.268173011 + 32.731822389. Let t = g - k. Round t to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110002211011 - -2?\nAnswer: 10110002211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-5) + (-5232)\/(-40). Solve 6*j = l - 106 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**10))**11)**(1\/12) assuming o is positive.\nAnswer: o**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 5*v + 25, -5*n - v = 5. Let i(p) = n*p - p + 3*p. Let t(f) = f + 1. Let u(x) = 9*x + 6. Let w(z) = 6*t(z) - u(z). Give w(i(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*z - 140*z - 59*z + (3 - 3 - 2)*(3*z - 4*z + 0*z))*(3*z**3 - z**3 - 4*z**3) in the form b*z**3 + o + n*z**4 + y*z + g*z**2 and give n.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45635681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/11, -1\/2, -1?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7464, -7467, -7470, -7473, -7476, -7479?\n\"Answer: -3*c - 7461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.9 - -14. Which is the nearest to -0.1? (a) -0.5 (b) y (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, -3\/4, 0.4, 4.\nAnswer: -29, -3\/4, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.459017ml in litres?\nAnswer: 0.000459017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 25*w**3 - 5*w**2 - 25*w.\nAnswer: 5*w*(w - 1)*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -72 (b) -256 (c) 2 (d) 0.04 (e) -1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-2\/15)\/a))\/(a**(4\/9)\/a)*a\/a**11*a**(-5) assuming a is positive.\nAnswer: a**(-509\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156587.11 * 4.\nAnswer: -626348.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 338\/75 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 822214 and 4380444.\nAnswer: 6645133548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -149\nAnswer: 4\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 - 19*o**2 - 5*o - 8. Calculate n(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/120 + z**5\/30 + 5*z**4\/24 - 2*z**3\/3 - 3*z**2. Let k be g(-4). Suppose -3 = -5*r + k. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*n**2 + n**2 - 7*n**2 - 1 in the form s*n + o*n**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:46 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 108*x**2 + 2693*x + 83. Calculate t(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 44 (c) 0.3 (d) 1\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3173 + 3342. What is the remainder when 1681 is divided by x?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = w + 18. Let n(y) = 8*y**2 - 12*y. Let r(s) = s**2 - 1. Let b(o) = 2*o**2 + o - 3. Let z(d) = -b(d) + 3*r(d). Calculate w*z(x) - n(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -59\/2*r**2 + 88 + 0*r. Let k(y) = -4*y**2. Give k(g(o)).\nAnswer: -13924*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222322 (base 4) to base 7.\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 1261*x**5\/5 - 3*x**4\/4 - 2*x**3\/3 - 7*x**2\/2 + 20*x - 3202. What is the second derivative of s(v) wrt v?\nAnswer: 15132*v**2 - 18*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 2 + -10 + 9 + 0. Suppose -5*c = -4*u - 3*c + 22, -3*c = 9. Solve -14 - r = -4*z - 4*f, -5*z + 21 = u*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + (sqrt(16)\/(sqrt(8)*-5))**2).\nAnswer: -4*sqrt(2) - 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-319)\/(-1218) - 1\/6.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -77. Let m = u + -10. Let q(y) = -y**3 + 2*y**2 - 2. What is the smallest common multiple of q(-2) and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*m**4 + 39*m**3 - 3*m**2.\nAnswer: -3*m**2*(m - 1)*(12*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 5*f**2 + 5*f**2 + (2 + 5 + 3)*(2*f**5 - 6*f**5 + 2*f**5).\nAnswer: -19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86481.197 - -86518. Round i to zero dps.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 20*s**2 + 26*s**2 + 33*s**2.\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -21*t + 170. Let a be p(8). Suppose -14*h + 48 = -a*h. Solve 0*o = 2*o + 4*v + 20, h*o + 12 = -v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/56 and -85\/377088?\nAnswer: 2639616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8 + 3. Suppose -2*l + c = -3. What is the third derivative of -z**2 + 3*z**2 + z**4 - z**l wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13 = 3. Suppose -44 = -2*y + 2*f, -k*y + 4*f + 37 = -4*y. Suppose -4*r + 11 + y = 0. Calculate the greatest common divisor of r and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 20*w**2 - 18*w - 55. Let u(v) = v**3 - v**2 + v + 9. What is the smallest common multiple of y(21) and u(0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. Let g(z) be the third derivative of 0 - 1\/24*z**4 + 1\/60*z**5 + 0*z + 2\/3*z**3 - 17*z**2. What is g(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 5*s**3 + 9*s**3 - 6*s**3 - 4*s**3 to j*s**2 + b*s + k*s**3 + l and give l.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/2 + 2368*j**2 - 4738*j = 0?\nAnswer: -4738, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9509 to 1 decimal place.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245\/735*(0 - (-2)\/(4\/(-3)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4650160 + 4650160 + 165*c.\nAnswer: 165*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 51 + 13)*(-3*v - v**3 + 3*v + (-12*v**2 + v**2 - 4*v**2)*(v - 4*v + 5*v)).\nAnswer: -1736*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 58696803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34316\/4 - (11 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2471, 19742, 66625, 157928, 308459, 533026, 846437, 1263500?\n\"Answer: 2468*a**3 - 2*a**2 + a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 137 = 3*s + 1, -4*s - 203 = 5*y. Is s equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - (-30)\/7. Suppose 110 = 7*j - 2*j. Suppose a*t - 19 = -5*d + 2*t, -j = -2*d + 4*t. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 15 + 2)*(-j**2 + 2*j**2 + 0*j**2) - j - j + 3*j + 1 + j**2.\nAnswer: 11*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -102900*(37\/(-12) + (-18)\/72). What is n rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 25 + 15 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41667 is divided by 49.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 518420585 to the power of 1\/2, to the nearest integer?\nAnswer: 22769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1627*c - 3256*c + 1626*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l. Give v(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-99)\/(-44) + 3\/(-12). Solve 0 = 3*d + 4*i + 26, 2*i + 1 = q*d + i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:05 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74310\/54 - 3\/27. What is the highest common factor of t and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -605140 - -4?\nAnswer: -605134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114404 - 2?\nAnswer: 114402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46291581 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 21281, 2, 57, 0 in decreasing order.\nAnswer: 21281, 57, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000101886741 to 6 dps.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26731736 and 1160?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -c - 5*s, -5*c + 2*c + s = -32. Let b be (-18)\/4 + (-6)\/(-12). Let v(q) = -q. Let g(z) = -2*z. Give b*g(f) + c*v(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 78 = 2*m, 123*x - 119*x - m - 84 = -5*m for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19*y**2 - 4*y + 2. Let d be i(2). Suppose 35 = 5*o - 0*o. Let h = 35 - o. What is the greatest common divisor of d and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/(12\/180). Suppose 5*y + 2*z - 1 - 5 = 0, -4*z - 18 = -h*y. Factor 2\/9*q**y + 8\/9 - 8\/9*q.\nAnswer: 2*(q - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 + 9 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1131*v**3 - 10*v**2 - v - 580070 wrt v.\nAnswer: 3393*v**2 - 20*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 15*v**2 + v + 19. Let n be w(-15). Suppose p + 4*p - n*l = 76, 52 = 3*p - 4*l. What is the lowest common multiple of p and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**2*y**2 + 4*b**2*y - 34*b**2 - b*y + 7712*y**2 + 175*y wrt y?\nAnswer: -12*b**2 + 15424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = b - 3 - 0, -d + 48297*b - 48312*b + 89 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 484, 458, 428, 394, 356?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/20)*o*o**(-1\/6)*o*(o**(-16))**(20\/9) assuming o is positive.\nAnswer: o**(-5899\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsst when four letters picked without replacement from isiiisiiiitit?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 14*v - 13. What is the smallest common multiple of 214 and j(-11)?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:06 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -15 - (-6 + -8 + (-2 - -10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 6*v + 8. Let b be t(-8). Calculate the remainder when 1 is divided by (b\/4)\/(-5 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/9 - 11\/18. Suppose 4*u + 0*u + 16 = 0. Let p be (-6)\/15 + u\/(-10). What is the closest to i in 3, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/(y**36\/y)))\/y)\/y)\/(y**(-34)\/y)*(y\/y**(7\/4))**(-4\/27) assuming y is positive.\nAnswer: y**(604\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36524344*y**3 - 39499344*y?\nAnswer: -219146064*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3234)\/(-27) - (6 - (-280)\/(-45)) and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2093 or 2037?\nAnswer: 2037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1136 and 8240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by -144?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueab when four letters picked without replacement from {u: 7, b: 1, e: 4, h: 3, t: 1, a: 2}?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.9 (b) -162\/7 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.461 + 6742.\nAnswer: 6742.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2418 and 0.\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -10. Let u = g - 1. Calculate the least common multiple of u and 2\/4*-2*(36 + -45).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/3)*t**(1\/6)\/t*((t\/t**(-1))\/t*t*t)**11*(t**(-1\/3))**35*((t**(-1)*t*t)\/t)**24 assuming t is positive.\nAnswer: t**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7420 = -29620*r + 29760*r for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, h: 2, k: 6, r: 6}. What is prob of picking 3 r and 1 h?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.89097 and 0.4.\nAnswer: 11.156388","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 673*0.52746.\nAnswer: 354.98058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43471579 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2176884 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493055 and 731600?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1678 (c) 15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308.47 rounded to the nearest 10?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94 + 183. Let j = c - -19. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 33823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l - 2. Let q(c) = 140*c**4 - 2*c**3 + 22*c**2 - 2*c - 4. Let j(z) = q(z) - 2*x(z). Find the third derivative of j(y) wrt y.\nAnswer: 3360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -33\/7*n**2 - 81\/7*n**4 - 144\/35*n**5 - 242\/21*n**3 + 47 - 4\/7*n. What is r in h(r) = 0?\nAnswer: -1, -2\/3, -1\/2, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwjwwjwjjjwj. What is prob of sequence jwj?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36870, 36871, 36872?\nAnswer: 36873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412 - 456 + 4*u + 195 - 233.\nAnswer: 4*u - 906","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 11 = 3*f, -3*t + 17 - 3 = 2*f. Solve 5 = -h - 5*y + 15, t*h - 4*y + 32 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -517*n**2 - 165*n + 159. What is m(1)?\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-1)\/((-15)\/40). Which is the closest to 0.2? (a) u (b) -2\/9 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1713*n**3 - 73*n**2 - 95*n - 5. Let m be p(-29). Round m to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 721 - -4?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/18)\/(18\/27 + -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*g**2*s**2*v**2 + 3*g**2*s**2*v + g**2*s*v**2 + 9*g**2*v**2 - g**2 wrt s.\nAnswer: 112*g**2*v**2 + 6*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/(-5) + 12\/30. Suppose -3*h + t = 5*d, -2*h = 5*d - 4*h - 6. Let f = d - 0. Solve -f*a = -4*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:44 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -885, -3, 14 in ascending order.\nAnswer: -885, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3582614\/42 - (-2)\/(-6). What is j rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(320)*-3).\nAnswer: -24*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79 and 490432.\nAnswer: 490432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*a - 1 = -2*a, 5*y + a = 23. What is the remainder when 7 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*z**3 - 6101*j**2 + 10*j*z + 35*z**3 with respect to z.\nAnswer: 6*j**2*z**2 + 10*j + 105*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16862040 - 16862041.1899923. Let a = -1.19 - n. What is a rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 5*h**4 + 6*h**4)*(-3 + 2 - 1)*(-12 - 32 - 21)*(-1 + 2 - 2 + 0 + 0 - 1 - 1 + 2 + 0 + (0 - 3 + 1)*(3 - 4 + 0) - 1 + 1 + 1).\nAnswer: 3380*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (12\/10)\/((-1)\/10). Suppose u*g + 17 = 15*g. Let y = g - 16. What is the smallest common multiple of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 1988962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 231183.4.\nAnswer: -231183.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 3*t - 2. Let p be m(3). Suppose 5*r - p + 0 = 0. Suppose r*c + 2 = 6*c. What is the smallest common multiple of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssl when three letters picked without replacement from slslllulwllusluuw?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*h**3*k - 1727052*h**3 + h**2*k + 485*h*k + 25269*k wrt h?\nAnswer: 126*h*k - 10362312*h + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3914, 0.2, 0, -10, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgmwmmwmwmmwwwmmgm. What is prob of picking 2 m, 1 g, and 1 w?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 598b (base 14) to base 3.\nAnswer: 210102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-14)*32060\/2748.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1965*r - 2691*r**3 + 2673*r**3 + 1965*r.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4176\/(-42224)*52\/(-12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035531093 to 7 decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 3*s = 33*p + 36, 2*p + s + 16 = 0. Let x be (-3)\/27*p - (-2946)\/(-18). Which is the third smallest value? (a) x (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-41)\/(-2)*(-1758)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = 2*a, 2*a = -4*x - 9 - 1. Solve x = -4*m + 5*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 = -y - 12, -3*p - 5*y + 145 = 0. Calculate the remainder when p is divided by ((-1)\/5)\/(568\/(-280) - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) + 4\/56. Let i = -0.84 + 3.04. Let x = 2 - i. Which is the third biggest value? (a) 0.1 (b) x (c) f (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12 - 10\/(32 - -8). Let y(w) be the second derivative of 1\/30*w**4 + 0 + p*w**3 + 0*w**2 + 1\/100*w**5 - 2*w. Factor y(m).\nAnswer: m**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*m*v**2 + 60*m*v + 1584*m + 1101*v**3 wrt v?\nAnswer: 54*m + 6606*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1))\/(i*i**(8\/7))*(i*i**(1\/5))**(-23\/3))**(-31) assuming i is positive.\nAnswer: i**(12307\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20618454 or 20618458?\nAnswer: 20618454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*166904677.\nAnswer: -83452338.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -9. What are the prime factors of f\/1*(-5 + -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16797674623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.67 - 123.33. Let f = u + 124.99315. Round f to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*j + 329 = 145*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -34*x - 2. Let a(d) be the second derivative of 23*d**4\/6 + 644*d. Calculate j(a(q)).\nAnswer: -1564*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.2. Let u = 1176 - 1181.2. Let f = u + h. Which is the biggest value? (a) -3\/5 (b) 2\/7 (c) -1\/6 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m + 3*c + 36, 0 = -5*m + 5*c + 50. Suppose -5*x + 4*w = -40, 4*x + m - 46 = 5*w. Suppose x*h - 85 = -h. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21 + 5 + -1 + -4. Let f(o) = -c*o + 10*o + 1 + 10*o. Let z(l) = 7*l - 8. Calculate 6*f(s) + z(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 104\/10 + (-2)\/5. Is 2225\/j + 3\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58490 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kupyypyuyuk. What is prob of sequence uy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1712\/7 - 245. Which is the closest to 7? (a) -0.5 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 11*p - 41. Let x(d) = -7*d + 27. Let f(s) = 5*r(s) + 8*x(s). Let t be f(8). Solve 6 = -t*l - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 19215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Let r(f) = f**2 + 21. Give v(r(d)).\nAnswer: -2*d**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/138 and 103\/1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*k**2 + 74*k**2 - 163*k**2 + (2 - k - 2)*(11*k - 100*k + 43*k) to y + t*k**2 + d*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.102214 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:20 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21388 + 302449.3.\nAnswer: 281061.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -17348, 1\/5, -5, -3\/13, 4?\nAnswer: -17348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Solve 0 = -y*o + 11 + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmxxmmsxsmx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 52.35386 nanograms?\nAnswer: 0.00005235386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g + 59 + 33 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1932 + 0.0932. Which is the closest to -1? (a) 3 (b) -0.425 (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613391641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -28. Let i = -1 + y. Calculate the remainder when 16 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -42, 2\/137, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 832*c**2 + 162031*c - 53. Give y(311).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 46. Let p be h(-12). Which is the second smallest value? (a) p (b) 0.15 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -912, -2, -1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.94 - -3. Let s = 0.7 + -1.06. Let i = s + c. Sort i, 3, -5.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65455 divided by 5.\nAnswer: -13091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(-1 + -5 + 1*sqrt(684) + 3))**2.\nAnswer: -780*sqrt(19) + 17269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/(-450)*18\/(-39).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + t - 46 - 21, -t - 24 = 2*l. Let w be (l + 10)*(-4)\/6. Let g be w\/(-12) - ((-193)\/(-66) + -3). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-7))\/((b**7*b)\/b*b)*((b\/((b*(b\/(b\/(b\/(b**10*b))))\/b)\/b))\/b)\/b*b**(-1\/8))**32 assuming b is positive.\nAnswer: b**348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -4*o - l, 2*o = -5*l - 16. Let p(x) = -x - 4. Let r(k) = -2*k - 6. Let g(v) = -5*p(v) + 3*r(v). What is g(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -43\/5, 3\/2, -2, -81?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.1. Let i = 796 + -795.6. Suppose -u = 3*u - 16. Which is the second smallest value? (a) r (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 40*f**2. Let d(i) be the third derivative of i**4\/4 + 26*i**2 + 8*i. Give d(k(j)).\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 410, 1643, 3698, 6575?\n\"Answer: 411*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42081 divided by -3237.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {l: 4, n: 9, t: 1, f: 1, b: 2}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 2, o: 1, k: 9}. Give prob of sequence kjp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 300233012 (base 4) to base 11\nAnswer: 126a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34764 from 16387.971.\nAnswer: -18376.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 5, 64, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3384 divided by 846?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p = -148*p - 43*p + 9944 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 5*w**3 - 14235 + 27521 - 13286.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 70. Suppose 4*l = 11 + y. Solve -l*n + 4 + 11 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 20 - 95. Let s be 1\/((-198)\/(-33) + (-166)\/28). Suppose s*f + 5*f = 0. Solve f = -2*h - h - d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g - 2. Let k(i) = 11*i - 5. Determine 3*k(w) - 5*m(w).\nAnswer: 3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 414, 1679, 3794, 6765, 10598, 15299?\n\"Answer: f**3 + 419*f**2 + f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 5*i. Let y be (-1 - i)\/(((-2)\/(-622))\/(-1)). Suppose 5*o - 214 - y = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 38 - 69 = h, 5*h - 77 = 2*b. Let f(d) = 27*d + 2. Let s be f(-2). Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 198320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3236 and 9?\nAnswer: 29124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46635 - 24240. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -371.6?\nAnswer: -7803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11208633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*m - m - 214, -3*m = 3*d - 216. Suppose -d = -3*p + 40. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f45 - 0?\nAnswer: -f45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/n)**(1\/68) assuming n is positive.\nAnswer: n**(7\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1173284 + -51608.\nAnswer: 1121676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + ((-21 - -5) + 17 - (-1 - (-1 - -41)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*l**2*m + 5*d*l**2 + 3*d*l*m - d*l - 2*d*m + 12176*l**2 - 5583*l*m + 2 wrt l.\nAnswer: -2*d*m + 10*d + 24352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyl when three letters picked without replacement from hujjhhllyhlplhhj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4\/11, -2.8, -5, -1\/22 in decreasing order.\nAnswer: 4\/11, -1\/22, -0.4, -2.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(475) + 5 + -3 + (sqrt(133) - (sqrt(133) + -3*(3*sqrt(133) - sqrt(133))))\/sqrt(7)) + 3.\nAnswer: -66*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4268 and 286.\nAnswer: 55484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437206 and 416262?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuqf when four letters picked without replacement from {j: 3, q: 4, u: 1, f: 2}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 9 = 5. Sort 3, -5, s in descending order.\nAnswer: 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 - 5. List the prime factors of 3\/d + 3\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13043 + 13043.0015343. Round c to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 5*v)*(0*v + 4*v - 6*v)*(-12*v + 16*v - 6*v) + v**2 + 2*v**3 + 3*v**2 - v**2.\nAnswer: 18*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -80. Let n(i) = 6 - 4*i - w - 2. Let j(x) be the third derivative of x**5\/12 - 3*x**2. Determine j(n(g)).\nAnswer: 80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/2 + 693*k**3 - k**2\/2 - 693*k = 0?\nAnswer: -1386, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 97907923244194\nAnswer: -97907923244194.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, q: 4, e: 5, k: 1}. Give prob of picking 1 e, 2 q, and 1 z.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -969, -1225, -1481?\n\"Answer: -256*r - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + p)*(4 + 228*p - 3 - 226*p + 79*p**2).\nAnswer: -158*p**3 - 4*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/1953 - -4409\/72261. Let s = w + 3343\/1554. Find the common denominator of 89\/12 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2781*k + 86614. Determine v(31).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 252*d**3 - 12*d**3 - 911*d**3 + (4*d - 2*d + 0*d)*(2*d**2 - d**2 - 3*d**2).\nAnswer: -675*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/333 or -1?\nAnswer: 2\/333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from innilhuuiniueu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -12. Which is the second smallest value? (a) 4 (b) -1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 1\/6 (c) -10\/11 (d) -5 (e) -4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - i = -106 + 114, 11*m - 30 = 3*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*u - 86, 81 = p - 4*u + 6*u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3.74 (b) -3 (c) -2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/1)\/((-2)\/(-51)))\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 16758111?\nAnswer: 33516222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((139\/((-222400)\/(-128)))\/(2\/(-80)))\/(2\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 32820480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66684 (base 12) to base 4.\nAnswer: -201021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 4*k + 1. Let q = -1988 + 1981. Let r(b) = 16*b**2 + 13*b - 3. Calculate q*x(n) - 2*r(n).\nAnswer: 3*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 947*l**2 - 43. Let s be v(13). Round s to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6351.0346*0.4.\nAnswer: -2540.41384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 711647*p**2 + 1423293*p\/2.\nAnswer: p*(p + 1)*(p + 1423293)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5. Let i = -7 - -6. Which is the nearest to i? (a) -2 (b) f (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 68 = -19*q. Suppose -3*i + 20 = -q. Calculate the greatest common factor of i and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 36, -1\/3, 3, -1.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3, 5, -16, -2 in ascending order.\nAnswer: -16, -4, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283715733 divided by 2133201.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1663\/12373 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204300 divided by 4086.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 1731 = 219 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -83, -178, -281, -386, -487, -578?\n\"Answer: w**3 - 10*w**2 - 72*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102600 rounded to the nearest 1000?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*x**2 - 701*x**2 + 7 - 7.\nAnswer: -1381*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 211, 209, 207?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(72\/2))\/((-6)\/4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4438*k - 37*k**3 + 31*k**3 + 4437*k + 50*k**3.\nAnswer: 44*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-1) - 3) + -1. Let w(c) = 31*c**2 + c + 1. Is w(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by (-206)\/(-3) + (-195)\/(-585)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*5\/(-15))\/2. Let s = d - -5\/9. Let x = 0.3 - -0.7. Which is the closest to -0.2? (a) 2 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 76*f + 13699. What is the remainder when y(-138) is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 2*r**3 - 2*r**2 - 1 + r**3 - 4*r**3 - 5*r**4 as v + a*r**4 + f*r**3 + x*r + h*r**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 6 - 79582\/49. Let i = q - -1626. Let h = i - -116\/147. What is the third smallest value in h, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 5*i**2 + 0*i**2)*(4*i**3 - 3*i**3 - 2*i**3)*(-1 + 3 + 0).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1111 divided by 25\nAnswer: -1111\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 19*y**2 + 93*y - 17. What is a(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-2*2 + sqrt(187) - (sqrt(187) - (sqrt(187) - (sqrt(187) - (sqrt(187) - 2*sqrt(187)))*-4)))*-2)\/((-2*sqrt(99)*-2 + sqrt(99))\/sqrt(9)*5).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + -8254?\nAnswer: -8211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 6*r**2 - 2*r + 25. Let c be s(-2). Sort -3, -8, 2, -2, c in decreasing order.\nAnswer: 2, -2, -3, -8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 16. Calculate m(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7192\/195 - 106\/39. Let v = 40 + x. Let k be ((-96)\/36)\/(4\/6). Which is the second biggest value? (a) k (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*i = i + 8048, 20142 = 5*p - 2*i. Let b = 6191 - p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 93, 92, 91?\n\"Answer: -i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Let k = 2 + -3. Let d(r) = -r - 9. Let o be d(-11). Which is the nearest to l? (a) o (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 1, -334.1, 0.4, 5 in descending order.\nAnswer: 5, 1, 0.4, -1\/10, -334.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1843*f**2*w + f*w + 52*f + 2636367*w - 2 wrt f.\nAnswer: -3686*f*w + w + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 18*o - 8. Let l be k(3). Let q = 18 - l. Is q bigger than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4306531534?\nAnswer: 2, 2153265767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q - 2*q - q)*(1 - 5 + 3) + 5*q + 2*q - 5*q + q + 2 - 2 - q - 2*q + 6*q)*(-2*q + 0*q + 3*q)*(-29 + 29 + 4*q).\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (39*64\/101088)\/(2*1\/6)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -783 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1843, 3743, 5639, 7531, 9419?\nAnswer: 11303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1874, 8501, 15128, 21755, 28382?\n\"Answer: 6627*k - 4753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*c - 28*c - 270*c - 4 + 7 as q + j*c and give j.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away 77354?\nAnswer: -77377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4671 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 4*h - 15*h + 45*h.\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -15*w + 12*w + 2*n, 0 = w + 5*n - 1. Let a(x) = -2*x**3 + 22*x**2 + 2*x - 22. Let z be a(w). Solve -h + 17 = 5*u - 2*u, h - 5 = z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 2754\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u**0)**15\/(u\/((u*u*u**6\/u)\/u)*u*u**4*(u**(-1))**(-4)) assuming u is positive.\nAnswer: u**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/530 and -64\/1749?\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-34)*2\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 12826.73.\nAnswer: 6413.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(((-3)\/(-9))\/(17\/(-153))). Is h at least 2\/13099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*t = 3*h, -3*h + t + 2 = 0. Suppose -h - 1 = -4*k - m, 5*m + 10 = 0. Solve -5*r + k = -2*c, 0 = -2*c + 3*r + r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 475 = -46*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50994?\nAnswer: 2, 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 2072\/31?\nAnswer: 2072\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -487 + 489.067. Let c = n - 0.167. Do -4 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 9 - 519*h + 519*h - 8 to the form n*h**2 + k + v*h and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1740*p + 24945 = 19725 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -107. Suppose -2*w + 207 = -m. What is the remainder when w is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -35*a + 13. Let z(o) = 587*o + 604*o - 1758*o - 6 + 584*o. What is 6*b(u) + 13*z(u)?\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.2, -4, 53\/10?\nAnswer: 53\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3 = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 145*q - 591. Solve 19*w + 120 = -q*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = 0, 5*z = -g + 6*g + 30. Suppose -5*w - 2 = 5*r + 13, 8 = -5*w + z*r. Let s be (-4 - w)*(-3)\/6. What is the highest common factor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 48 + 2*n - 13 + 107 - 16 - 15.\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(408\/80)*(-60)\/225.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1899, -3807, -5713, -7599, -9447, -11239, -12957, -14583?\nAnswer: -16099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 14)*(0*p - 2*p + 3*p + (-2*p + 0*p + 0*p)*(0 - 1 + 3)).\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 + 0*r**2)*(144*r**2 + 72*r**2 - 26*r**2).\nAnswer: 570*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 44 (b) -58 (c) -1.95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((-1103)\/568)\/(-1). Let q be 229923\/48*(4 - 30680\/7668). Let n = q - d. Find the common denominator of -111\/20 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45701217238 and -154.\nAnswer: 45701217084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 1. Let f(j) = 3*j + 14. Let o(k) = f(k) - 4*m(k). Let n(c) = c**3 + 11*c**2 + 11*c + 14. Let g be n(-10). Let w be o(g). Is w > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + sqrt(28).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(405) + -3)**2 - sqrt(405))*6 - (sqrt(180) + 1 + -5*(sqrt(20)*1)**2).\nAnswer: -2274*sqrt(5) + 15003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1338, -5354, -12046, -21414, -33458, -48178, -65574?\nAnswer: -85646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4\/7, 91, 2, 0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:41 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -8 + (-7 - 0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85\/31991 - 3120946837\/319910. Let g = y - -9764. Calculate the common denominator of ((-87)\/36)\/((-2)\/(-9)) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31995.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -5. Suppose 2*g + 8 = b*g. Suppose x - 2*x = -2. Solve -j + g = -x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 494*d**5 + 2*d**4 + 6*d**2 - 2*d + 42 wrt d?\nAnswer: 29640*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 16.31806?\nAnswer: -146.86254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/14 + 10\/(-35). Calculate the lowest common multiple of (c - 0) + 234\/13 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 582*r**2 - 54945*r - 1427800.\nAnswer: -(r + 55)**2*(r + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 754?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -42, -24 in increasing order.\nAnswer: -42, -24, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(-30)\/n))\/n*n)\/n*n\/(n\/(n**(4\/27)*n)))\/((n\/(n*n**(-2\/91)))\/n)**(4\/15))**40 assuming n is positive.\nAnswer: n**(3185152\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69902341*x + 69902341*x + 6*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 449808144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let l(d) = -5*d**2 - 4. Let c(v) = -6*v**2 - 5. Let g be (1 - 26\/(-6))*3. Suppose 3*b = -b - g. Let r(p) = b*c(p) + 5*l(p). Give r(n(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 - 8 - 7 + 12 + u. Let d be z(6). Solve 5*r + d*x = -20, -r - 3*x = -3*r + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = 0, 10 + 58 = 4*x + 4*d. Suppose -y - 319 = -x. Is (-10)\/(y\/148 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 32954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11929 (b) 3 (c) -1\/748\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 98*t - 240. Let c(n) = 69*n - 160. What is 5*a(y) - 7*c(y)?\nAnswer: 7*y - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1987, -2051, -2151, -2281, -2435, -2607, -2791?\n\"Answer: f**3 - 24*f**2 + f - 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.195 - -0.695. Let q = -45 + 41. Put q, 6, -22, s in descending order.\nAnswer: 6, s, q, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*z - x + 2*x, 0 = -2*z - 4*x. Let n be (-4)\/14*z + -2. What is the nearest to 0.2 in 1, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**34\/(f\/f**(-1\/4)*f**(2\/15)) assuming f is positive.\nAnswer: f**(1957\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 145866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 9*d**2 + 5*d + 48. Let b be t(7). Put -2, b, -7 in descending order.\nAnswer: -2, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3591 - -25184\/7. Find the common denominator of 4 + (3 - (-1137)\/(-132)) and m.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1173948 <= -1173767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10726 is divided by 88.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-45)*3\/(-15)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 34*v + 50. What is r(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 26*t = 36. Suppose 0 = -t*u - j + 38, 4*u + 0*j - 50 = -j. What is the lowest common multiple of u and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*x - 3*x + 5*b, -2 = -2*x - b. Let z be (x - 4) + 7 + 39. What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 115. Let f(v) = 5*v**2. What is f(d(i))?\nAnswer: 5*i**2 + 1150*i + 66125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14008960 and 11328?\nAnswer: 42026880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 0 - 29*r**2 - 2 + 1 + 334*r**2. Let k be g(-2). Suppose 0 = 3*v + w + 3*w - k, -5*v - w = -2062. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 838279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 53. Let p = 15 - h. Solve -3*w = -p*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -97. Differentiate -1 + 0 + 55 + 34 - 2*m**y + 4*m with respect to m.\nAnswer: -4*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = -4*g + 9, 4*g + 26 = -c. Let s(l) = 2*l**2 - 4*l. Let r be s(c). List the prime factors of (2 - 1)\/(3\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -48, -153, -354, -681, -1164, -1833, -2718?\n\"Answer: -5*i**3 - 3*i**2 + 5*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 36 = -3*u - 48, 4*u + 1 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 276 (c) -1838\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8*z\/z**1*z*z\/((z*z\/z**9)\/z)*z*z**(-9))\/((z\/(z*z\/(z*z**(-1))))**(-11\/9))**(-2\/21) assuming z is positive.\nAnswer: z**(1912\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1490646 = 1490633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23895 and 675.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, -4.3, 3\/5, 54.4, -4.8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13.4 or 37.368?\nAnswer: 37.368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 3*q - 1. Let d be x(3). Let o = 5 + -16. Let i = o + 15. Which is the smallest value? (a) i (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -58*u - 828. Let o be t(-15). Solve 0 = 76*r - o*r + 204 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(36)\/(sqrt(16)\/(sqrt(4) - sqrt(4)*2)))\/(-1*(sqrt(3) + (sqrt(105)\/sqrt(5) + sqrt(21) - sqrt(21))\/sqrt(7))).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*8.09.\nAnswer: -1.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 5. Let w(z) = -4. Let x(g) = 4*u(g) + 5*w(g). Let b(k) be the third derivative of k**4\/6 - 7*k**2 - 4*k. What is b(x(d))?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 230*g - 235.\nAnswer: 5*(g - 1)*(g + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0*y**2 + 0*y - 1 + 3*y**2 + y. Let t be l(1). Suppose 30 - 6 = t*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2. Let m be (-1)\/((-8)\/36 - 26\/(-144)). Let o(g) = -m*g**2 + 28*g**2 - 18*g**2. Determine o(s(y)).\nAnswer: -224*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 14904.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053315 is divided by 1133?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10))\/(((-27)\/(-1539)*-19)\/(10\/(-6)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:27 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 5:30 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 4*t**6\/15 - t**3\/3 + 116*t**2 + 108*t. What is the first derivative of b(i) wrt i?\nAnswer: 32*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(1\/(30\/35)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/7)))**(-1\/3)\/(f**(-1\/3)*f**0\/f) assuming f is positive.\nAnswer: f**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 157. Let s = k - 53. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 62.\nAnswer: -43\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303806*b**3*m**3 - 19508*b**3*m + m**3 wrt m.\nAnswer: -1822836*b**3*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 + 12*i - 7. Let x be u(7). Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6389*c**2 - 9558*c wrt c?\nAnswer: -12778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 7, 0.5, -1545?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**6\/3 + w**2 + 1. What is the second derivative of x(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 0. Let r = 5.5 + w. Let k be -2 + -1 - 95\/(-25). What is the second biggest value in 3, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284160 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + 59. Let v be (2\/10)\/((-15)\/i). Let z = -11641\/22 - -529. Is z at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 44*i + 1. Let h be c(0). Suppose j + o = 3*o + 32, 2*j + 2*o = 46. Suppose 0*t - j = -t. Put -1, h, t, -2 in descending order.\nAnswer: t, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (-6)\/(-2)*(17296\/24)\/(-94)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -2) + -3 + -3 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4011 and 41767116?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwfwufiuwnisfnn. Give prob of picking 1 n, 1 w, and 1 u.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, -4, -40, -90, -154?\n\"Answer: -7*k**2 - k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9556 + -9551. What is the least common multiple of i and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67536 and 1566.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137200 divided by -20.\nAnswer: 6860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494999 and 4432?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - h**3)*(13*h - 18*h + 7*h) to the form d*h**3 + l*h**2 + b + v*h + o*h**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*f - 1294 = -848*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*v = -33, -3*l - v + 33 = -5*v. Suppose -6*b = -l*b + 10. Solve 5*f = -4*r + 15, -f + 1 = -5*r - b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d*d**(-2\/5))**(3\/23)*((d*d**5)\/((d**7*d)\/d))**(4\/23) assuming d is positive.\nAnswer: d**(109\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1403*q - 4034 - 3080 + 1502 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45752 + 67032. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 3*l**2 + 3*l + 1. Let f(h) = -h**2 - 190*h - 3488. What is the remainder when f(-168) is divided by m(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*t - 184*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*s - 35, 168*s + v = 167*s + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l + 8. Let h be 0*1\/l + 0. Suppose -2*p - 23 + 91 = h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-105)*(-7)\/12*9\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 4*g + 3 - 28 + 0.\nAnswer: -g - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 70. Suppose -k - 5*x = 1, -4*k - 5*x = -k - n. Solve -6*g - 9 = -k*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/((-10656)\/336 + 32)*29.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 101*n - 1103. Calculate w(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (279\/162 - 2\/9)*2. Solve 3*g - 3*x = -0*x + 6, 0 = -y*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b + 2. Let q(k) = 2*k**2 - 6*k + 3. Let x(n) = 4*n - 8. Let z be x(5). Suppose 5*g + 9 + 6 = 0. Let f be z\/(-2)*1*g\/9. Give f*q(o) - 3*v(o).\nAnswer: o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 9*r + 115 + 11 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 14. Let w be t(-11). Suppose w*g = 5*g - 16. Let 8\/3 + g*j - 14\/3*j**3 - 6*j**2 = 0. Calculate j.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -1315 - 1373. Solve -m - 101 = -d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 50. Suppose -h = m*y + h + 22, 0 = 4*y - 4*h - 8. Suppose -i - 8 = 7*i. What is the nearest to i in -0.5, 0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 377\/305 - -10\/61. Let q = -196 + 196. Which is greater: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558 a factor of 98701601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 + 0 = 0. Suppose 3*n = 5*b + 5, c*n - 15 = -0*n + 5*b. Let t = 39 - 9. Solve -d - n = -p, 5*d - 5*p + t = -4*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (1 + sqrt(931))**2 + sqrt(931) + ((sqrt(1900)*-2 + sqrt(1900) + sqrt(1900))**2 - (sqrt(19) - (sqrt(19) + sqrt(19) + 2 + sqrt(304)))).\nAnswer: 26*sqrt(19) + 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(4)\/sqrt(2))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311 - -212012?\nAnswer: 213323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (868\/(-12) - 3)*-282. Is 4 - (-248)\/(-56) - m\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 3 + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 + 25*n = 0. Calculate n.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/23)*y**(1\/3))\/(y**(-1\/10)*y**0)*(y\/y**(-2\/5)*y)**8\/(y**6\/y*y**(-4\/3)) assuming y is positive.\nAnswer: y**(11077\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**11)**(-2\/15)\/(o**(12\/7)*o**(-2\/9)))**(-16) assuming o is positive.\nAnswer: o**(14912\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, v: 6}. What is prob of picking 2 n?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + 84\/(-49). Calculate the remainder when (-2)\/(k\/1)*5 is divided by 3*1\/1*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -0.096.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 - 196. Calculate the remainder when 251 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5405 times 26.8\nAnswer: 144854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20\/3 + -83\/12. Let z = 0.12 + -0.12. Is k less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k**4 + 48991*k**3 + 36369486*k.\nAnswer: -72*k**2 + 293946*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6.6. Let k = 63\/62 + -627\/434. What is the nearest to -2 in k, u, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12 - 168*p**2 + 167*p**2 - 4*p - 9 + 17. Give q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 + 16678*l**2\/5 - 7926926*l + 29008270754\/5.\nAnswer: -2*(l - 4897)*(l - 1721)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48996076.\nAnswer: 2, 12249019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010404 to seven dps.\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {o: 3, s: 4, j: 4, r: 1, z: 2, q: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89579 is divided by 12304.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1396 and 8633562?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.25 and -23316066.\nAnswer: -23316061.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - l - 11 = 0, -18*l - 11 = -4*w - 13*l. What is the highest common divisor of w and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - y + 873, -62*i + 5*y + 360 = -60*i. Calculate the highest common factor of 140 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-31)\/u**2)\/(u*u\/(u\/(u*u*u**(2\/5))))**(-9) assuming u is positive.\nAnswer: u**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = -4*q + 3, 3*q - y = 12. Suppose 4*b = q*g + 17, 2*g = 4*b + 1 - 7. Let f = g + 48. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2680 = -336*h + 363*h - 6541. Calculate the least common multiple of h and 455.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82797 - -18343. Let y = -64462.00058 - o. Let n = y - -8. Round n to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/3 (b) -28368\/17 (c) 0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 17822295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 25, -33 = -3*l + 2*x + 73. Suppose 0*u + l = 2*u. Solve 3*z + 3*c = -c + 15, z - u = -5*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604060 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29091 + 29613. Is v smaller than 511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - u**2 - u - 1. Let x(d) = -7*d**3 - 8*d**2 - 3*d + 2. Calculate -2*m(g) - x(g).\nAnswer: 3*g**3 + 10*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0)\/(3\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4200 and 23005710?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 4*y - 5*y + (-3 + 2 + 3)*(y - 1 + 1) - y - 1 + 1 + (2 - 2 - 3*y)*(-5 + 5 + 1)*(-4 + 0 + 6))*(8*y - y + 34*y) as j*y**2 + c + a*y and give j.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/(((-1)\/(-4))\/(112\/(-28)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-6)\/(-3)*5\/10. Let f be (q\/6 + 1)*4. Solve -2*w = 6 + f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 3. Let g be d(6). Let n be (-6)\/g*6*1. List the prime factors of (10\/n)\/((-2)\/8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + k - 387609. Let x(g) = -2*g. Determine u(x(n)).\nAnswer: -8*n**2 - 2*n - 387609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 24*t - 2520. What is the remainder when 2517 is divided by t?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95216 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -200, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.876 - -0.124. What is the closest to g in -0.5, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62312 + -23103. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 2*x + 4680. Let n = -383 - x. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4521 and 2877?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 divided by 684?\nAnswer: -233\/684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 811463395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l - 13. Let w(o) = -o - 1. Let j(b) = -6*q(b) + 78*w(b). Let k(t) = 3*t**2 + t**2 - 5*t**2. Calculate k(j(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a70 - 202?\nAnswer: 386c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457457 is divided by 2455.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 24336 = -32*k. Suppose 12*p - 624 = k. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0*p**3 + 0 + 0*p - 1\/8*p**4 - 6*p**2. Let b(y) = -3*y**2. Determine b(m(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**3 + 37*u**2 + 20125*u + 140776. What is h(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:36 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35344 (base 7) in base 14?\nAnswer: 345b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 1. Let a be o(1). Suppose 5 = -3*q - a*s, -2*s + 5 = -s. Let c be q*((-28)\/20 + -2). Solve -4*i + 12 = 4*j, j + c = 4*j + 5*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 5\/((-105)\/(-138)))*(-136)\/136.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/(1\/8). Suppose -67*h - r = -71*h. Solve 24 = -5*y - h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(13) - sqrt(104)\/(sqrt(32)\/sqrt(4) + sqrt(8)) - sqrt(26)\/sqrt(18)) + (-4*sqrt(234))\/(1*(sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2)))).\nAnswer: 115*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-9))\/(270\/324).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917264541.\nAnswer: 19, 29, 673, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -11581531?\nAnswer: 33\/11581531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13007487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 - -230. Suppose 3*j = 0, 0 = 3*d - j - j - z. Let r = d + -22. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -342\/375919?\nAnswer: -342\/375919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 m when four letters picked without replacement from mmuummemeuee?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*g + 5*w, 0 = -4*g + 5*w + 1 - 39. Let k(h) = 2 - 7*h + 1 - 5. Is k(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 13*c**4\/12 - 9*c**2\/2 - 20*c. Find the first derivative of i(z) wrt z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 3. Suppose -5*r + z + 2 = 6, -3*r - 8 = -2*z. Suppose -4*a + 57 + 119 = r. Calculate the remainder when a is divided by c(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10252, 10178, 10102, 10024, 9944?\n\"Answer: -a**2 - 71*a + 10324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) + 0)**2 + 2 + sqrt(19) + sqrt(95)\/sqrt(5).\nAnswer: 2*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z**2 + 2*z + 2. Let m(w) = 1390*w**2 - 193*w - 187. Let d(k) = 4168*k**2 - 582*k - 561. Let q(o) = -2*d(o) + 7*m(o). Determine 2*q(i) + 187*t(i).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.078, 4, 0.1 in ascending order.\nAnswer: 0.078, 0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186 - 62 - 3*r**2 - 124.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.52 + 8.16. Sort 2\/9, u, -5 in decreasing order.\nAnswer: u, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/9, 65, -0.2?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54574 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060638 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z - 9. Let p = -151 + 140. Let g(t) = 32*t - 46. Let v(s) = p*h(s) + 2*g(s). Let n be v(0). Solve n = -3*u - 0*u + 4*y, -y = -2*u - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93591634*q + 129809171 wrt q.\nAnswer: -93591634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-2 + -2 - -3). Let t(c) = c - 7. Let b be t(7). Let x(u) = 2*u - u - 1 + b. Give x(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 5. Let s(n) = -5*n**3 - 9*n**2 - 2*n + 1. Let j(a) = 11*a**3 + 19*a**2 + 5*a - 1. Let c(y) = 4*j(y) + 9*s(y). Calculate c(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27541621, -27541617, -27541611, -27541603, -27541593, -27541581, -27541567?\nAnswer: -27541551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)\/(y\/(y*y**(1\/5))*y))**(-5\/8) assuming y is positive.\nAnswer: y**(27\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 14, b: 1, a: 1, z: 1}. What is prob of sequence ab?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 - (13 - (-9 - -15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16640 and 43160?\nAnswer: 1381120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + 4*t - 7. Let j be f(-4). Suppose -3*g - 56 + 224 = 4*y, 5*y - j = -2*g. Let a = -56 + g. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 355.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.91976258 + -66.92. Round k to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2776*a**5 + 2145*a**2 wrt a?\nAnswer: -166560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1000010000?\nAnswer: -1000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1 + -5 + sqrt(320))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*a - 444, -450 = -4*a - a + 5*d. Let f be (-48)\/(-36) + a\/6. What is the greatest common divisor of 144 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2111*1\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1340375 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/18)\/((42\/(-36))\/7). Solve -5*f = -7*d + 4*d + 13, -3*d - x*f - 37 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1 - sqrt(68)) + 4 + -5 + ((-2*sqrt(68) - sqrt(68))*-1 + 4)**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58096 is divided by 29002.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 - -14 - 1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25434104 (base 6) in base 9?\nAnswer: 1503214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 21 + 7 = -4*a, 5*a + 5*q = 25. Solve -3*h + 7*h = -a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/(4080\/(-108))*1\/15?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1461, 1368, 1209, 978, 669, 276, -207?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q. Let m(l) = 3*l - 3. Let w be m(3). Suppose 3*k - 8 = -0*j - 2*j, 3*j + 3 = 3*k. Let b(v) = j + w*v + 2 - 3. Give x(b(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.263319363 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 23, 4, -0.4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.16 - 0.16. Let o = l - 14.2. Let f = -2.19998 - o. What is f rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 36. Suppose 35*c = -230 + 1805. Let j = s + c. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*n**2 + 561 - 278 - 281)*(-121 - 407 + 249) + 0 + 0 + n**2.\nAnswer: -10043*n**2 - 558","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -33*h**2. Let u(f) be the first derivative of f**2 - 1. What is b(u(z))?\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.17, 4\/11?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 318.\nAnswer: 4\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1065 = 9*h. Suppose 2*v + 2*o - 127 = 3*o, 3*v = -3*o + h. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/5)\/((-18)\/(-15)). Let u = 562 - 11800\/21. Which is the nearest to t? (a) u (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -460.483 + 454.1. Let t = 7.017 + -7. Let y = m - t. What is y rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-2 + 1*sqrt(612) - sqrt(612)))*-6)**2.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0. Let q be (-4)\/(-6) + 46\/(-42). Let j = 71.314 - 71.514. Put -3, x, q, j in ascending order.\nAnswer: -3, q, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 + 5*o**2 + 18*o**2 + (-1 + 4 - 1)*(2*o + 2*o**2 - 2*o) + 2*o**2 + 1 - 1 to the form a*o**2 + r*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -60*s + 7. Let j(w) = -45*w + 265. Let f(u) = -15*u + 76. Let h(i) = 14*f(i) - 4*j(i). Calculate -7*h(b) + 4*q(b).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20236 by 127.\nAnswer: -20236\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001081662 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.04, 0, 100, -22?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(14)\/sqrt(2) - (-1*sqrt(847))**2 - (sqrt(7) + sqrt(7) + -1 + -5 + 4).\nAnswer: -845 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjtjtjjtt. What is prob of picking 1 t and 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 87*u = -82*u + 186294, 232887 = 5*h - 3*u. List the prime factors of h.\nAnswer: 3, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 a when four letters picked without replacement from xccca?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 + 1920335.94372.\nAnswer: 1920360.94372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227440.278 seconds to days.\nAnswer: 2.632410625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3111 < -3112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:34 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6372*g*t**3 - 10516*g*t*y**3 - 74482*t**3*y**3 - 3280*t**3*y**2 with respect to g.\nAnswer: 6372*t**3 - 10516*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 61 + 24*i + 33*i - 66*i + 62.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 2160 = -2*f. Suppose -2*k + f = 4*k. Calculate the lowest common multiple of 11 and k.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 33281406.\nAnswer: 33281436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126, 136, 146, 156, 166?\n\"Answer: 10*q + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1775)\/355*(8\/44)\/((-110)\/(-99))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 154\/(-33))*(-3)\/(-2). Let h be ((-8)\/6)\/(11\/(-33)). Let a be 0\/(-4)*(-2)\/4. Solve a = l + 2*n + g, 3*l - h = 5*n + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvld when four letters picked without replacement from {j: 1, l: 1, d: 2, v: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-54) - (-488)\/27. Solve -2*u - 7 = -u - r, -u - 4*r = -p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*l = -94*l - 440. Which is smaller: l or -84?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**6\/j)\/j)\/(j\/(j**(-4\/3)*j)))\/(j\/j**1)**(1\/16)*(j\/((j\/j**(-1\/3))\/j)*j)**27*(j*j*j*j\/j**(2\/7)*j)\/j**(-2\/5) assuming j is positive.\nAnswer: j**(5542\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 81.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70953 and 4897365.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*(2 + 0). Let b = 5 - 5. Let j(v) = 2*v - 5*v**2 + v + b*v. Let t(x) = -11*x**2 + 7*x. Determine c*t(o) + 7*j(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 14) to base 9\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85664 and 26.\nAnswer: 1113632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211 (base 5) to base 6.\nAnswer: 3053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3297 and 1031961?\nAnswer: 1031961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43491*l**5*s**2 - 27*l**3*s**2 + 317*l*s**2 - l + 6*s**2 + 5*s wrt l.\nAnswer: 869820*l**3*s**2 - 162*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 12) to base 9.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4 = -k + 7, -5 = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -321, -649, -981, -1317, -1657, -2001?\n\"Answer: -2*f**2 - 322*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {i: 12, e: 4, w: 4}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*p + 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -8938696768.92872.\nAnswer: -8938696772.92872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -147*n - 37*n + 41*n + 1. Let o be h(-2). Suppose 138 = 5*t - o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/278 and 6?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/5 + 8*s**4 - 752*s**3\/5 - 4608*s**2 + 331776*s\/5 = 0.\nAnswer: -36, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23104640 (base 7) to base 10\nAnswer: 2018534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587828 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*5*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 9. Let r be v(-3). Let q = 9\/125 - 1661\/500. Which is bigger: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868486.7 micrometers in millimeters?\nAnswer: 868.4867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.28339 litres?\nAnswer: 5283.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103530000 rounded to the nearest 1000000?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5109 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: Work out 20223 * 1.2.\nAnswer: 24267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwwsddsdsswsd. What is prob of picking 1 d, 1 w, and 2 s?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 14 + 28. Let d(t) = -99*t + 4. Let y be d(0). Find the third derivative of 12*g**2 - 17*g**2 - 37*g**y - r*g**2 wrt g.\nAnswer: -888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(16\/200).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*31\/((-775)\/(-80))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.303 - -4.697. Suppose -20 - 5 = 5*q. What is the closest to -2\/25 in -4, i, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = 7, 2*p = 3*m + 849. Suppose 23*l - 18*l = p. Calculate the highest common factor of l and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634120 rounded to the nearest 10000?\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u + 24. Let x(w) = -w**2 - 15*w + 11. Is x(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:06 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -39 - 27. Solve 3*z - 14 = 5*b - q, -4*b - 20 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 3*i + 64 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 962 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8561.981264 to the nearest 100.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 3\/((-9)\/2). Let t = -1\/245 + -239\/1470. Let d = -5 + 2. What is the closest to j in t, d, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*(3 - 5)\/4. Solve -2*s + 27 = s + 3*i, -k = 2*s - 4*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*a**2 + 58*a**2 - 67*a**2.\nAnswer: 79*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 - j. Let p(s) = s**2 - 14*s + 16. Let a be p(13). Let z(g) = 20*g - 2 + 20*g**2 - 63*g**a + 2 + 33*g**3. Give 20*c(f) + z(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, d: 2, k: 4, r: 1}. Give prob of sequence deed.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*a + 745 = -2783 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 716 = 27*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*i + 5, -2*i + 690 = 4*y + 688 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(1053) + -2 + 5 + (-4 + 1 + sqrt(637) - sqrt(637)).\nAnswer: -5 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from jrccyrvpjjcrrjy.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/165 and -31\/1800.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-53))\/((-3)\/1))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:41 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 12 - 60. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + 2 - 0. Suppose 0 = -5*d + 5*x + 35, 2*d = 4*d + 4*x - 8. Let c(p) = -p + d*p - w*p. Let f(b) = b. What is c(f(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 308 = -2*n. Let d(i) = -2*i**2 - 29*i - 14. Let b be d(n). Solve b = -4*k - 4, 2*l + 5*k - 3 = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -4, 663 in decreasing order.\nAnswer: 663, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-393)\/12)*(0 + -4). Let o = -125 - y. Let k be o - (-9 - -3)\/1. Calculate the highest common factor of k and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-3))\/(8\/24). Let a(b) = 11*b**2 - 3*b + 4*b - m + 3*b - b**3. Calculate the remainder when a(11) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -729849\/43 - -16973. What is the second biggest value in -4\/3, 1, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275050 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -26 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -30*p + 32*p. Suppose 0 = 4*i - 108 + p. What is the remainder when i is divided by (1\/(-3))\/((-4)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2621, -2656, -2693, -2732, -2773, -2816?\nAnswer: -2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*o + o - 122, 5*a + 306 = 2*o. Let s = a + 48. Let b(y) = y**3 + 18*y**2 - 4*y + 37. Is b(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2317 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - 4*a - 7*a)*((6 - 1 - 3)*(1 - 1 + 2*a) + 2*a + 0 + 0) to x*a + w + b*a**2 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 - -12?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-6)\/(-4). Let z be 0\/(d\/(-3 + 2)). Solve 3*i - 7 - 2 = z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -256\/3. What is the third biggest value in -7, p, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 3*m**2 + 76)*(0 + 0 - 2 + (2 - 5 + 7)*(1 + 1 - 1)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 9*s**2 + 71*s + 12. Give h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 132 - 193 + 569 + (0*v - v + 0*v)*(-2*v**2 + 2*v**2 - 2*v**3).\nAnswer: 3*v**4 + 244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*a + 2 = -13, -6 = -2*c - 3*a. Suppose -36 - c = k. Is -4 + 2 + (-2 - k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75460 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 9*l + 9. Let b be i(-10). Let m be (540\/24)\/(b\/(-2)). What is the greatest common divisor of 405 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1567*h**3 - 329*h**3 + 2665*h**3 + 185*h**3.\nAnswer: 4088*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21591 is divided by 2158.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 226*g + 453. Is n(41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112701 (base 11) to base 16\nAnswer: -2bc02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*i + 612*i - 369*i.\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 58 - (0 - 2 - (13 - (-4 - 37)))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1359 - 1358.8. Put -4, w, 15, -1\/4, 0 in decreasing order.\nAnswer: 15, w, 0, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-2 - 9 - 2)*(-2*f**4 - 2*f**4 + f**4).\nAnswer: 78*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*j*s - 24194782*a**3*s**2 + 866*a**2*j*s**2 + 316*a**2*s**2 + j*s wrt a?\nAnswer: -18*j*s - 145168692*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 14*p + 26. Let l be j(14). Let z = -354 - l. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -530\nAnswer: 14840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 5*g - 4. Let u be b(-3). Let z be (4 - 6)\/(u\/1). Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218.97 - 219. Sort 1\/2, 1, v in increasing order.\nAnswer: v, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 512171, 512217, 512315, 512483, 512739?\n\"Answer: 3*t**3 + 8*t**2 + t + 512159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1122, -1153, -1202, -1269, -1354?\n\"Answer: -9*u**2 - 4*u - 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h. Let q(j) = j**3 - 10*j**2 + 9*j + 51. Let p be q(8). What is x(p)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w + 5. Let y be o(-4). Let g be 186\/y - 3\/5. Let m be -2 + (7 - 3) - g. Solve 5*z + m = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**4\/12 - n**3\/3 - n**2 - n. Let d(g) = -5*g + 2*g - 1 + 2*g. What is 2*d(z) - s(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -61. Let j = -0.6 + 0.4. What is the closest to 8 in j, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 1, c: 2, u: 1, n: 1, m: 2}. What is prob of sequence un?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60233312 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 19*i + 332. What is the second biggest value in i, 2\/5, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*-1*-5 + sqrt(190))\/(sqrt(50)\/(1*sqrt(5))) - (sqrt(76) + 1 + sqrt(76) + -5 + 1))*5)**2.\nAnswer: 300*sqrt(19) + 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + -89 + 18 + 276?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l = -125. What is the highest common divisor of 175 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nii when three letters picked without replacement from nnnnnnninnnnii?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16 = a. Solve 3*v = -v - a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 13914?\nAnswer: 431334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3*(-48)\/54)\/(7\/21). Let u be ((-4)\/30*3)\/(2\/(-10)). What is the highest common factor of u and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -932.9437 + 933. Let n = f + 0.4437. Which is the fourth biggest value? (a) -0.1 (b) -0.2 (c) 5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -538, -1234, -2208, -3460, -4990?\nAnswer: -6798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-2*s**2 - 1 + 1) - 89*s**2 - 6*s**2 - 91*s**2 to i*s + f*s**2 + j and give f.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227198 divided by -113599.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 330*z**4 - 669*z**3 + 64*z**2 - 5751 wrt z?\nAnswer: 7920*z - 4014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z + 10. Let c be n(-7). Let k(t) be the first derivative of t**3\/3 - t**2\/2 - t + 1. Is k(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -1\/10, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:55 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.90959 micrometers in kilometers?\nAnswer: 0.00000006690959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 2*s**2 + s - 1. What is r(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.7 - 45. Let r = g + 0.3. Which is the second biggest value? (a) r (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-816)*-153*(-16)\/21\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 388 * 2.\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a - 20. Suppose 0 = k - 2*y - 6, -5*k = a*y - 0*y - 30. Solve k = -2*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 2\/3 (c) -2 (d) 8\/3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 531*q**2 + 3*q - 2. Let i be m(1). Suppose -3*b - i = -7*b. Suppose 4*c = -r + b, -2*c - 2*r + 170 = 3*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {n: 2, s: 4, b: 2, a: 1, j: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/646 - 99\/646. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7629621211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-27))\/(3 - 1)*2019\/18844.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w - 113. Let p be c(-15). Suppose -2*m + 0*m = -4. Let l = 1 - m. Put 5, l, p in decreasing order.\nAnswer: p, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 58*x**3 - 528*x**2 + 57*x - 23. Determine b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/8)\/((-13)\/(-143)*11)*-4.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 19*c**2 + 21*c + 49. Suppose 4*u - 84 = 8*u. What are the prime factors of l(u)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:50 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - l = 8099, -23*x - 5*l = -19*x - 10805. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35571180401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 0.102\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -26. Let i = -6181 + 6181. What is the second smallest value in 3\/2, g, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*o - 71. Let f be 3 - (o - 12\/(-9))*-3. Let t be (-150000)\/(f - (-1262)\/(-316)). Round t to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -6812895?\nAnswer: -23\/6812895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*n + 10, -2*y = y + 2*n + 7. Let g be (y*(-1 + -1))\/(4\/90). Let f = 47 - g. What is the lowest common multiple of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -67*q**2\/2 - 12*q + 3. Let l(y) = -2*y**2 + 33*y - 18. Let d be l(16). What is the units digit of o(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.5 (c) 2\/3 (d) -6 (e) 5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7200)\/(-3825) + 4 + -1 + 5\/(-1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*i - 10 = -34, -2*h = -5*i - 22. What is the remainder when 39 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22170, 4\/7, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4126 or -4119?\nAnswer: -4126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 134. Give w(22).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*68\/(-34).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 110 and 4.8.\nAnswer: 114.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 32*w**2 + 1404 - 1404 - 56*w**3.\nAnswer: -56*w**3 - 32*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33\/(-55))\/((-7)\/((-56)\/(-6))). Factor -2\/5*x + 0 - 2\/5*x**3 + b*x**2.\nAnswer: -2*x*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one fifths of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 3. Let y be o(2). Let v = y - -17. Let k(n) = 32*n - 1. Is k(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 4*s**2 - s - 5. Let c be 4\/(6\/(-3) - -1). Let l be k(c). Let j = l + 2. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 29 - 21*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(16*t - 636 + 636 + (2*t - t - 3*t)*(4 + 0 - 2))*(0 + 0 + 5*t).\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2813017, -8 in ascending order.\nAnswer: -8, 0, 2813017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46531 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) -1\/91 (c) 4 (d) 2\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 91.7267 micrograms?\nAnswer: 0.0000000917267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/132*1*3. Let u = 11.6 + -14. Let z = u + 2. Sort b, z, 2\/9.\nAnswer: z, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -71. Calculate the remainder when 7 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267\/7 - -38. Let w = 0.4 - 1.3. Let f = 5.9 + w. Which is the second biggest value? (a) f (b) v (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-52))\/(7 + (7 - 7) - 5).\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(2\/41)*f*f**(17\/5) assuming f is positive.\nAnswer: f**(1322\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - ((15 - -5) + 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.15, 1.3, -5, 0.3, 3, -2?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 8 + 6. Let u be 4 - (w - (-2)\/(-1)). Suppose u*j = 2*j + 6. Let f(n) = -5*n + 2. Give f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 - 0.01. Let f(z) = 5*z + 34. Let g be f(-7). Which is the closest to -0.2? (a) 3 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.85 - -0.15. Let v = 11.00000064 - o. Round v to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 15 = 0. Suppose -b*y = y. Determine c, given that 0 + 1\/6*c**2 - 1\/6*c**4 + 0*c + y*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 10*y**2 - 44*y - 127. Give b(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1536793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 5, x: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, -0.04 in descending order.\nAnswer: 10, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - ((-158)\/65 + (-8)\/10))*(-248)\/930.\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -19*j**2 - 15*j + 11. Let u(d) = -9*d**2 - 7*d + 6. Calculate -4*g(p) + 7*u(p).\nAnswer: 13*p**2 + 11*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 8:28 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/6)\/(2\/(-4)). Let t(a) = 4*a - i*a - 30 + 0. Let z be t(15). Solve z = -3*p - 3 + 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -87*w**3 - 4*w**2 + 5*w + 4. Suppose p + 4 = -3*r + 2, 2 = r + p. What are the prime factors of c(r)?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 16336056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52620 is divided by 5261.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3034 + -3036. Let r(u) = 6*u**3 + 3*u**2 + u + 1. Determine r(n).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45995\/13476 - -4\/1123. Find the common denominator of 83\/26 and a.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, c: 2, q: 10, m: 1}. Give prob of picking 1 m and 3 a.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16. Let h(d) = -d + 16. Let y(o) = -3*h(o) - 2*w(o). Let f be y(7). Find the first derivative of -4*s**2 - 3*s**2 - 28 - f*s**2 - 4*s**2 wrt s.\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let v(r) be the second derivative of 23*r + 0*r**3 + 0 + 0*r**2 - 7\/6*r**4. Calculate l(v(y)).\nAnswer: 196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1323*f**3\/8 - 246015*f**2\/4 + 258819*f\/2 - 67881.\nAnswer: -3*(f + 374)*(21*f - 22)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2 (b) -25 (c) 0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20268048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 306, 5 in ascending order.\nAnswer: 2, 5, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24345 (base 8) to base 3\nAnswer: 112100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.04, 31631, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662*t**2 + 2848*t**2 + 4759*t**2 + 5495*t**2.\nAnswer: 11440*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 227*r**5 - 5*r**3 - 15*r**2 + 573*r - 10. Let m(o) = o**5 + o**3 + 3*o**2 + 2. Let c(d) = g(d) + 5*m(d). Find the second derivative of c(h) wrt h.\nAnswer: 4640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -2899, -5, 3, -186 in increasing order.\nAnswer: -2899, -186, -5, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9307, -18616, -27925, -37234, -46543?\nAnswer: -55852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*w = -6*w + 6*w - 3 + 5, w = -2*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*f - y + 33, f = -3*y. Let u = -4 - -7. What is the remainder when f is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 4 - 5)*(-1 - 1 + 0) + 0 + 3 - 1 - 21 - 12 - 13)*(12*a**4 + 10*a**5 - 12*a**4).\nAnswer: -500*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 11, -6 in descending order.\nAnswer: 11, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3 - 1594*h**2 - 3*h + 3926?\nAnswer: -6*h**2 - 3188*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24121 + 0 + 0 - 0*6\/18?\nAnswer: 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -53.7363540073.\nAnswer: -53.5363540073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016356427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2541))\/(4*sqrt(7)*2 + sqrt(7)).\nAnswer: 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5353 - 4632. Calculate the greatest common divisor of 412 and h.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1072 and 26.\nAnswer: 13936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874 >= 309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 2*u**3 - 9)*(-182*u - 1210 + 1210) in the form i + g*u**3 + l*u + k*u**2 + s*u**4 and give s.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 22 - 6. Suppose -h = -v*x - 33, 5*x - 3 = 2*x. Let f = h - 25. Solve -2*p + 6*p - f = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*1 - (-21 + -23). Calculate the greatest common factor of 26 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 2673.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -290840393\/6 equal to -48473399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/24*-2 + 4\/48. Suppose 39 = -3*n - 24. Let x be 2 + 1 + n\/6. Which is the second biggest value? (a) m (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 3. Let h(k) = -3*k + 5. Let i = 12 + -12. Let y(z) = z**2 + 10. Let c be y(i). Let r be 1 + 5 + 0\/(-1). Calculate c*f(w) + r*h(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23349628 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 8. Let c be q(6). Suppose c*v = 2*w + 98, 0 + 2 = v + 4*w. Let g = -13132 + 13152. Calculate the lowest common multiple of g and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o. Let n(q) = -14*q - 8. Let l(j) = 5*j + 3. Let c = -40 + 35. Let d be (c\/(-10))\/((-3)\/(-48)). Let x(f) = d*l(f) + 3*n(f). Give v(x(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*j - 12, -5*v = 2395*j - 2388*j + 44 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 31. Let f = -0.06 + -5.84. Let a = v + f. What is the nearest to a in -0.4, -2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*k = 1153499 + 477727. List the prime factors of k.\nAnswer: 2, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z - 32 = 0. Let i(f) = -4*f + 15 + 3*f - 3*f + 3*f. Calculate i(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9728956 times -3\nAnswer: -8.9186868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 27 = -0*h - 3*h, -2*h + 13 = s. Find the third derivative of 17*g**3 - 17*g**3 - 7*g**4 - 6*g**h - 13*g**2 wrt g.\nAnswer: -312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3*r - 4 - 40*r**3 + 0*r - 2*r.\nAnswer: -40*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14539 >= 14539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 16 (b) 648\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:01 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f)**8\/((f\/(f*f\/(f*f**(-2\/3))))\/f*f**(-5)*f) assuming f is positive.\nAnswer: f**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -41*o - 33. What is the remainder when n(-4) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -211301?\nAnswer: 211313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 = 6*n - 5*l, -4*n + 5*l = -21. Suppose 2*v = -4 - n. Suppose f = -5*i - 16, 0*i - f = 4*i + 12. Is i smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4241676 is divided by 2120769.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1754\/(-27) - 101\/2727 - 4*4.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*v - 17*v - 38850. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920678 is divided by 83506?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3330)\/(-925))\/(38\/(-285))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + sqrt(484) + sqrt(484) + (sqrt(484) - (-1*sqrt(484) - sqrt(484))) + sqrt(484) + sqrt(4)).\nAnswer: sqrt(11)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-1 - (11 + 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67398377*u*v**3 + 2*u*v**2 - 3171*u*v + 11*u + 2*v**3 + 3*v + 61 wrt v.\nAnswer: 404390262*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1856934.6 and -0.8.\nAnswer: -1485547.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvs when three letters picked without replacement from {i: 1, w: 1, v: 1, s: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*x. Suppose x = -3*w + d + 16, -3 = -w - d - d. Suppose r = w*c + 28, -3*r - 2*r + 5*c + 180 = 0. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11685.\nAnswer: 3, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + 53755328.\nAnswer: 53755327.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/j**(-9\/4) assuming j is positive.\nAnswer: j**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - 1*sqrt(216))\/(sqrt(4)\/sqrt(2)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12468\/5 + -223699\/90. Let t = -15669 - -172602\/11. Let r = -4313\/132 + t. Find the common denominator of x and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -815*s**2 + 100*s + 747. Let b(a) = 814*a**2 - 80*a - 748. Let n(l) = -5*b(l) - 4*r(l). Differentiate n(d) wrt d.\nAnswer: -1620*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12886088431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*j - 5*o - 34, 37 = 5*j + 5*o - 48 + 65 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzzozzkk. Give prob of sequence kzk.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let f be 1\/(v + (-2 - -1)). Let z be -34*(f - -1)\/(-2). What is the highest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 0 - 3 + 2 + 660*o**2 - 1 + 3 to the form m*o + u + k*o**2 and give k.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyy when three letters picked without replacement from {y: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 13030656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16684, -66728, -150134, -266902?\n\"Answer: -16681*u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -660, -1331, -2002, -2673, -3344, -4015?\nAnswer: -4686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 5, 4\/7, 0.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47107*m**3 + 96253 wrt m.\nAnswer: 141321*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/15 + (-512)\/(-6). Suppose 4*k + 29 = 4*t + c, 3*k - 22 = -t. Does 33 divide ((-99)\/3)\/((-3)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 9\/(-4) - 1\/4. What is the nearest to f in 2, -5\/4, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (700\/15 - 34)\/((-4)\/6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 2:09 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1021, -4233, -9587, -17083, -26721?\n\"Answer: -1071*z**2 + z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8541813367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -259977 + 259977 - 14823*a + 56242*a in the form l + u*a and give u.\nAnswer: 41419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 0. Let g(u) be the second derivative of -u**5\/20 + 5*u**4\/12 - 5*u**3\/3 + 4*u**2 - 2*u. Let w be g(j). Round w to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, t: 5, k: 8, l: 1}. What is prob of sequence klk?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a tonne in kilograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, -52, -14330 in ascending order.\nAnswer: -14330, -52, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n**5 + 0)*(-6 + 1 - 2) + 7616 - n**5 - n**5 - 7406.\nAnswer: -16*n**5 + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0724266 minutes to nanoseconds.\nAnswer: 4345596000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 57*h**2 + 2*h + 1. Let n(t) = 115*t**2 + 5*t + 2. Give 9*i(k) - 4*n(k).\nAnswer: 53*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-46)\/n*n*(n*n**(-1\/44)*n)\/n assuming n is positive.\nAnswer: n**(-1981\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.22911 * -5\nAnswer: -1.14555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 33621580*p**2 + 56520464841600*p - 226082397312000.\nAnswer: 5*(p - 4)*(p + 3362160)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a49270 (base 11) to base 12.\nAnswer: -415832a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9 and 50\/233?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 + 24748180*y\/11 - 76559051664050\/11.\nAnswer: -2*(y - 6187045)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Let k(s) = s**2 - 2*s. Does 4 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*7\/(-490)*-14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 327\/4 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*w + 75 + 441, -356 = -3*d - 4*w. Suppose 25*v - d = 23*v. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 6 = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, o: 2, b: 1, k: 2, v: 1, i: 2}. Give prob of sequence ooik.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8)\/sqrt(2)) - ((sqrt(416) - -3*sqrt(416)) + sqrt(416)))\/((sqrt(98) + -1*sqrt(98))*1 + sqrt(98) + (2*sqrt(98) - sqrt(98))*-4).\nAnswer: 19*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:01 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -1884665?\nAnswer: -1884665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16*c**3 - 1392*c**2 - c - 73. Calculate q(-87).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = -2*s, -4*g + 7 = 5*s + 9. Is 21 a factor of s - (-3 - -1) - (-167)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(320)\/sqrt(8))*5)\/((sqrt(2541)*-2)\/(sqrt(70)\/(sqrt(40) - sqrt(10)))).\nAnswer: -5*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -445497\nAnswer: 35\/445497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93161, -86005, -78851, -71699?\n\"Answer: -d**2 + 7159*d - 100319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/29097363 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 28. Let q(p) = -b*p + 7*p + 3 - 6 - p**2. What are the prime factors of q(-18)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:10 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, d: 2, h: 1, x: 1, o: 1, t: 4}. What is prob of picking 1 x and 1 t?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31102313 (base 4) in base 3?\nAnswer: 2202200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-84)\/420)\/((-3)\/(-5)). Let x = -2.8 - -2.8. Let s = x - 4. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 120 = 95*t. Is t >= -2\/3075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1019600 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.2, 0.1, 0.41 in increasing order.\nAnswer: 0.1, 2\/17, 0.2, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8826227?\nAnswer: 23, 31, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 42*h**3 + 60*h**2 + 234*h + 135.\nAnswer: -3*(h - 3)*(h + 1)**2*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 43*h = -16. Suppose -3*a - 13 = -2*g - 3*g, -h*a + 4*g = 4. Suppose -a*x = 5 + 3. What is the closest to x in 3\/5, 2, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1537545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 23*i**2 + 8. Let t be a(-23). Suppose 6*n = t - 20. What is the hundreds digit of ((-25)\/(-10))\/(3\/n)*-117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3*(-4)\/48). Let a be u\/(-8) + (-3)\/(-4). Put -4, -3\/2, a in descending order.\nAnswer: a, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/10 + 18\/15. Sort -4, y, -7 in increasing order.\nAnswer: -7, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (0 - -1) + 0. Let u(p) = -2*p**3 + 45*p**2 + 22*p + 25. Let y be u(23). Factor -35*l**2 - 41*l**b - 22*l - 2*l + 80*l**y + 20.\nAnswer: 4*(l - 5)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/50*5*(3 + 1). Suppose 2*x - r = 0, 3*r + m*r = 0. Solve x = 5*z - 10*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -696, -1494, -2304, -3132, -3984?\n\"Answer: -x**3 - 791*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163854433 divided by 163854433.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001600211 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 651056346 + 2?\nAnswer: 651056351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 226, 451, 676?\n\"Answer: 225*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 19. Let k be (-5)\/(-555) - 0\/v. Let o = -235\/1443 + k. Which is the closest to -1? (a) o (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - a - 3*a + 6 - 2*a**4 to v*a**4 + h + o*a + n*a**3 + z*a**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + 26. Let h be g(-6). Solve 4*b = h*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11486 divided by -6.\nAnswer: 5743\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:40 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2941044.179084 + -40.\nAnswer: -2941084.179084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -2319*h**4\/2 + 17*h**3\/3 + 11*h**2 + 4722. Find the third derivative of i(x) wrt x.\nAnswer: -27828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 921 by 3.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/4)\/g)\/g)\/(((g*g*g*(g**(-5\/2)*g*g)\/g*g)\/g*g)\/g)*g**(-1\/5)*g**(2\/15))**10 assuming g is positive.\nAnswer: g**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**4 + 0*s**3 - 12 - 3*s**3 - s + 6*s - 2*s**2 + 13*s**3 - 8*s**3 as i + y*s**2 + h*s**3 + l*s**4 + u*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozozzzgd. What is prob of picking 1 g and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5014.2463 to the nearest ten.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6852, 6859, 6866, 6873?\nAnswer: 6880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -19*t**4\/8 + 46*t**3\/3 + 2*t**2 - 17. Find the first derivative of i(l) wrt l.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**32\/m**(-18)*(m\/(m*m**1))**38 assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**3\/3 + 3*r**2\/2 - 40*r - 9. What is the tens digit of c(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008662 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c = -54*c - 120 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 3 + sqrt(192) + 1 - (-2 + (1*sqrt(192))**2).\nAnswer: -186 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and (45\/(-10))\/(-1)*2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101111 + -110?\nAnswer: -111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 6:28 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -142, -497, -1220, -2443, -4298, -6917, -10432?\n\"Answer: -22*u**3 + 14*u**2 - 7*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -29*g - g**3 + 16*g + 63 + 33*g**2 - 21*g. Give m(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwddwdpdddddw. What is prob of sequence pw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -349.88 - -360. Round c to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 183785?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3622638 decades in centuries?\nAnswer: 0.03622638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4\/7 + 4008*a**3\/7 + 1389174*a**2\/7 + 33357840*a\/7 - 34751025\/7 = 0.\nAnswer: -655, -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (86\/129)\/((-8)\/(-6)*2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i**3 - 60*i**2 - 2*i + 60*i**2 - 2*i.\nAnswer: -39*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*w + 85. Calculate the smallest common multiple of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 50218389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19548795 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -82*k - 88. Let r(m) = -252*m - 248. Let p(z) = -17*l(z) + 6*r(z). Let x(j) = -j**2. Calculate x(p(v)).\nAnswer: -13924*v**2 + 1888*v - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 4*o - 17. What is l(-13)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r + 0 - 3 - 6. Let g(n) = -n - 1. Let u(z) = -3*z - 4. Let d be u(0). Let p(k) = d*w(k) + 36*g(k). Let x(l) = -3*l. Determine x(p(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 14 + (6 - 1) + (9 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2207 + 2222. What is the remainder when 2293 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 9*n**2 + 0*n**3 + 0*n**4 + 0*n + 1 - 11\/60*n**5. Let u(w) be the first derivative of -w**2 + 1. Determine u(j(v)).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((6*sqrt(612) + -3 + sqrt(612)*-3 + sqrt(612) + -5)*5)**2.\nAnswer: -19200*sqrt(17) + 492800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-one sixths of a hour?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.023 (c) 5\/6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*z - 67*z = 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -7*m + 0*m**4 + 7\/5*m**5 + 0*m**2 + 17 + 0*m**3. What is the first derivative of h(s) wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 29. Put u, 5, -2 in descending order.\nAnswer: 5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25255 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.886mm?\nAnswer: 0.3886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9899 - -9918. Put 2, u, 12, -1\/5 in increasing order.\nAnswer: -1\/5, 2, 12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4\/7 + 7151*h**3\/7 - 986408*h**2\/7 + 4813584*h = 0.\nAnswer: -7287, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 813 = 3*h, s = -s - h - 407. Let n be (-6)\/33 + s\/(-33). Solve -2*c + n = 4*i, 5*i + 3*c + 0 = 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + -89. Solve -4*m - 4 = -t*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*q - 25 = 3*q, 2*m + 2*q - 14 = 0. Suppose 0 = -4*j + 4*f + 26 - 2, 4*f + m = -4*j. Solve -4 = j*o + 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924113?\nAnswer: 43, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 55. Calculate w(35).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Suppose 4*j - 1 = q. Let p = j + 48. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from dfttd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 153*i**5\/20 - i**4\/3 + 679*i**3\/2 + 4282*i. What is the second derivative of f(z) wrt z?\nAnswer: 918*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185.72 - 186.00974. What is d rounded to three decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7) + 11 + -4 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2510?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-40)*(-3)\/((-12)\/32). Let h(f) be the first derivative of 0*f + 3\/2*f**2 + 15\/4*f**4 + 4*f**3 + o*f**5 + 4. Factor h(k).\nAnswer: 3*k*(k + 1)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 2.8 (c) -34 (d) 0.1 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 152322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -22. Let v(p) be the third derivative of p**5\/15 + p**3\/3 + 2*p**2. Is 8 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1008057 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121740155917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/2)*t**7)**39\/(t**(-1\/2)*(t\/(t\/(t*t**(2\/19)\/t)*t))\/t*t**6\/t**(1\/4)) assuming t is positive.\nAnswer: t**(27903\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 3 - 2) + -22. Let m = 19 + c. Suppose 5*r + 5*f + 30 = 0, 5*f + 27 - 7 = m. Sort -0.5, r, -3 in descending order.\nAnswer: -0.5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269866777.002047 - -269866532. Let f = j - -245. What is f rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -3511\/39. Are 1 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + 40. Let r = l - 64. Solve 0*t - 5*s + 5 = r*t, -5*t - 3*s + 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-21 - -10)) + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 60071.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2249 - 2372. Which is bigger: m or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 852443, 0.4, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255667568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 7*h - 112. Let y = 6 + -2. Let p(u) = 4*u**2 + u + 2. Let l be p(y). Calculate the highest common factor of h and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04873026 to four dps.\nAnswer: -0.0487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(3\/8)\/g*g))**8\/((g\/((g**(-2)*g*g*g)\/g))\/g**(4\/7)) assuming g is positive.\nAnswer: g**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 0. Let q(n) = 3*n**2 + n + 1. Let p be q(-1). Put y, p, 1 in decreasing order.\nAnswer: p, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0485 and 0.11.\nAnswer: 0.0615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 9:17 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18530 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 120\/(-12))\/((-3)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*l + 5*w, 4*l = 4*w - 0*w + 16. Suppose -4 = -l*j - 2*j. Suppose 0 = -5*u + 42 - j. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/35 and 0.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1242402805 - 0.2.\nAnswer: -0.0757597195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*2*49\/(-14). Let j = r - 8. Let u = 4 - j. Which is the closest to 0? (a) u (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 945*s + 3941 - 3941.\nAnswer: 5*s*(s - 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + 56*g + 4. Let m be a(13). Suppose 0 = -3*n + 5*n + i - 30, 0 = -3*n + 3*i + 36. Calculate the highest common divisor of m and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -24.8. What is the closest to -2 in -2, -5, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25189 is divided by 6291?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 6*m**2 + 4*m + 88. Determine a(-8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9514 is divided by 3167.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2898593.\nAnswer: 31, 93503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23022 - 10202?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 12:16 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 21. Let r(k) = -7*k**3 - 6*k**2 - 6*k. Let m(i) be the first derivative of -i**3\/3 - i**2\/2 + 2704. What is s*m(w) + r(w)?\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.44 to 0 decimal places.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose -m*o - 1 = -7. Suppose 0 = 4*f + c - 87, -3*f + 4*c + 48 = -f. What is the highest common factor of o and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f**(-2\/3))**(-10\/9)*((f**(1\/3)*f)\/(f\/f**(3\/2)))\/(f**(2\/7)*f*f\/f**7) assuming f is positive.\nAnswer: f**(-325\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192589323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38067 + -22211. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 9*c - 7. Let r be z(-6). Let x be 3*(-4)\/30*r. Let t = x + -10. Solve -2*o + t*o - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-216)\/(-9)*117\/6. Let p be (y\/48)\/(3 - 261\/88). Calculate the highest common divisor of 44 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*c - 2671 - 1958 - 2490 = 0 for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -5, -33, -71, -119, -177, -245?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61329206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4279 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -110*l**2 - 5650*l - 25445. Determine g(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2326 = -28*y + 2354 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)*c**(-4\/9)*c)\/(c**(2\/3)\/(c*c**4*c))*(c**1)**(8\/7)*(c\/(c\/((c\/(c**(-6)*c))\/c)))\/c**0 assuming c is positive.\nAnswer: c**(1495\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0 + 61*m**2 + 0*m**5 - 23\/210*m**7 + 2\/3*m**3 + 0*m - 1\/12*m**4 + 0*m**6. Find the second derivative of j(h) wrt h.\nAnswer: -276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 3, l: 1, n: 1, z: 3, e: 2}. What is prob of picking 2 z and 1 q?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 - 10 = 0. Let p(s) = 17*s**2 - 320 + 318 - s - 16*s**2. Let b be p(g). Solve -6*h + h + 25 = 0, 4*d = -2*h + b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 80*z**2 + 5724*z - 30600.\nAnswer: -4*(z - 25)*(z - 6)*(z + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(80) - (1*sqrt(80) + sqrt(80)))*-2)\/sqrt(10))\/(sqrt(32)\/(sqrt(6)\/sqrt(3)))*1.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 40 = 4*b, -k - 5*b + 3 = -28. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 0, 5*o = -4*t + 44 + 277. Let m = o - 59. Suppose m*k + 4 = 30. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 37, -5, -1 in decreasing order.\nAnswer: 37, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 620*w**2 + 55262*w + 17415. Give n(512).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293 + -202. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1 + 25. Suppose -2*m = -4*d - 34, 1 = -m + 2*m + 2*d. Suppose 2*o = u - m, y = u + 3*u - 2*o. Solve 5*z + 0 - u = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002656 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 7*p**2 - p - 1 - 1. Let s be l(-2). Suppose -4*u - s = -6*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*p - 2, -1 - 5 = -3*f - 4*p. Let k(a) = -30*a + 8. Let u be k(-5). Let q = 166 - u. Solve 3*w - 11 = i, q = -5*i + 4*i + f*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30650861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:00 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*u**3 + 85 - 118 - u**2 + 33.\nAnswer: 115*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505 divided by -1.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -7\/24*m**4 + 8*m**2 + 1\/6*m**3 + 0 + 0*m. List the prime factors of i(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 25*n**2 - 65*n + 35.\nAnswer: 5*(n - 1)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 34*z**5\/9 - 346*z**4\/9 + 122*z**3\/3 - 6*z**2 = 0?\nAnswer: 0, 3\/17, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3.87, 0?\nAnswer: -3.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -2, 2, 4, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59473146.\nAnswer: 2, 3, 1669, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*o + 42, -q - 3*o = -0*q - 18. Suppose -7*n - 84 = -q*n. Let l = n - 32. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1652, 6947, 15828, 28295, 44348, 63987?\nAnswer: 87212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325901832.\nAnswer: 2, 3, 17, 19, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25*r - 83. What is p(0)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let z(u) be the third derivative of 3203*u**5\/60 + u**3\/3 + 523*u**2. Determine c(z(w)).\nAnswer: -6406*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.163, 2, 0, -1\/9?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119868.\nAnswer: 2, 3, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -10 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 4)*(3*t + 4*t**2 - 3*t) - 3*t**2 + 0*t**2 - t**2 + (-t - 2*t + 2*t)*(0*t + t - 3*t) as f + h*t**2 + s*t and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68.5 + 72.6. What is b rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 440\/721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/41 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890*v - 1276 = 889*v. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrsrrrrr. Give prob of sequence srr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 7*b**2 - 4*b + 14. Suppose 21*y + 2*v = 26*y - 39, -y - 2*v = -15. Calculate the lowest common multiple of r(-6) and y.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297 + 302.96. Let v = -0.04 - w. Let f = v + 4. Put -1, f, 0 in increasing order.\nAnswer: f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1331*c**2 + 126*c + 864. Does 24 divide q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/18*(-6)\/(-8). Let f be 2\/(-3) + (-2)\/(-12). Let q be (1*(-2)\/(-4))\/1. What is the nearest to 1 in q, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 60210120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 595*j + 10130. What is z(-17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6917, 6939, 6977, 7031, 7101, 7187, 7289?\n\"Answer: 8*p**2 - 2*p + 6911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/243 and -19\/3.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52597\/5 + -10204. Let d = x - 315. What is a in -2\/5*a**3 + 0*a + 0*a**2 - d*a**4 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*x + 4*v, -5*x + 49*v - 11 = 53*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 696 - 1380 - 547*j + 20*j + 684.\nAnswer: -527*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 10, 9, 10, 13, 18, 25?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*p + 5041 + 22565. List the prime factors of p.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -608 + 607.358. Let t = f + 0.442. What is the second smallest value in t, 4, 1\/42, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542, -1075, -1604, -2129, -2650?\nAnswer: -3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0) + 41 + -34 - (-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 204*x**2 - 90*x - 90. Let q(l) = 29*l**2 - 13*l - 13. Let s(g) = 15*q(g) - 2*w(g). Let t(a) = -4*a**2 + 2*a + 2. What is -2*s(z) - 15*t(z)?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t - 94*t**2 - 37\/24*t**4 - 59\/6*t**3 + 0. Differentiate r(i) with respect to i.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 18 (c) -0.049 (d) 2 (e) -687 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9127 is divided by 3951?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-286)*(-715)\/(-20)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 194b + 83?\nAnswer: 19d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28427 - 56826 - 7*t**2 + 7*t**2 + 28399 + 7*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:44 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 4*z**2 + 4*z**2)*(-63 - 108*z**2 + 119 - 57).\nAnswer: 108*z**5 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2222201311 (base 4) to base 10\nAnswer: 698485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3701 + 3706. Sort w, 0.2, -2, -5, -184 in descending order.\nAnswer: w, 0.2, -2, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1189.8426121 to one decimal place.\nAnswer: -1189.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/8 + 41*p**3\/6 - 8*p**2. Let j be z(13). Is (j + -1)*2*3314\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1454*g + 28693*g + 28963*g + 48190*g - 23697*g + 9891*g)*(2*g**2 - 2*g**2 + g**2).\nAnswer: 93494*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -268.6 and -24074.\nAnswer: -24342.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2422 + 882 = -20*n. Let s = 15 + -8. What is the highest common factor of s and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9986261.\nAnswer: 131, 76231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*p = 214, -199*a - 1328 = -224*a + 3*p for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*x - 2 = 0, -4*u + x = -u - 11. Suppose -u*m = -4 + 9. Let s be (-4)\/((-2 - -3)*m). Solve z + s*a = -10, 16 = -5*z + a - 4*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 335, 993, 1887, 3023, 4407?\n\"Answer: l**3 + 112*l**2 + 315*l - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030573 to six decimal places.\nAnswer: 0.000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 16. Let h be o\/(-21) - 12\/(-28). Suppose -x + 6 = -h*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 2*q**2 - 6*q**2 + 3*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldl when three letters picked without replacement from {d: 3, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -14 + 9 - -5 - -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 a, and 1 n when four letters picked without replacement from annlwwwwnwawaaana?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**8\/336 + 3*x**6\/8 - 33*x**5\/10 + 34*x**2 - 1. What is the third derivative of s(w) wrt w?\nAnswer: 60*w**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-3*sqrt(5)) + sqrt(22)\/(sqrt(11)*-5).\nAnswer: -8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 5. Let n be k(-5). Suppose -5*s + 0*s + n = 0. What is the derivative of -7 - s*i - 5*i + 10 wrt i?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 8*d - 4. Let m be z(-4). Suppose 4*r - m = 4*o, -2*r + 4*o - 1 = -7. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*k - 29 = 0, 44097*s - 5*k - 38 = 44093*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/3 - 868*c**3\/3 - 94178*c**2 + 1785*c. Suppose g(y) = 0. Calculate y.\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -601, -707, -811, -913?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4196814 minus -50?\nAnswer: -4196764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4036*n**4 + 4*n**3 - 398*n**2.\nAnswer: 96864*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36950 + -21634. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 93*f**3 - f**2 + 4*f - 5. Is g(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608 and 9652?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 1656187588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7997 + -4794. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(3))**2 + sqrt(3) + 2 + sqrt(3) + 0.\nAnswer: -18*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 28*m - 5. Determine s(-15).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 36882?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 435, 651, 867, 1083, 1299?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 7*o - 9. Let d be x(12). Suppose d*b = 48*b + 801. List the prime factors of b.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201961777.\nAnswer: 41, 1193, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-384)\/6336)\/(1*4\/(-4)*60\/18)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932850 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5 + 272*v**4 - 1006*v**3 - 6656*v**2 + 7392*v = 0.\nAnswer: -4, 0, 1, 7, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -186*(-1)\/30 + 5 + -12.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = -0. Let j be (-168)\/40 + (-3)\/r. Let c = -6 + 5. Put 0.4, j, c in decreasing order.\nAnswer: 0.4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 68?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*s - 11 = 4*b, 0 = -5*b - 2*s + 15. What is the units digit of 101\/(b - (-25)\/(-20))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8704 and -104832816?\nAnswer: 104824112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 6*k. Suppose 2*r = -17 + 5. Calculate i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*30\/200 - (-4)\/(-20). What is the closest to -2\/9 in 5, -14, 0.01, k?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202200022 - 212?\nAnswer: -2202201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Suppose -q = -2*g + 109, 159 = 4*g - g + r*q. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/48 + (-83805)\/12080?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609658424?\nAnswer: 2, 23, 3313361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*m - 14*m**2 - 31*m)*(-34 + 34 + 6*m)*(9*m - 6*m - 12*m) to r*m**2 + g*m**4 + y*m**3 + i*m + p and give g.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-306)\/(-12) + (-42)\/(-12). Suppose 22*v - 249 + t = 0. What is the remainder when 118 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 404, 2, -11, 3 in decreasing order.\nAnswer: 404, 3, 2, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2348, 9381, 21102, 37511?\n\"Answer: 2344*h**2 + h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201000 rounded to the nearest one hundred thousand?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 82. Suppose 0 = -v + 3*v - 5*t - 610, -905 = -j*v + 5*t. Let a = -173 + v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2)\/sqrt(11) - sqrt(2736)*-2 - ((sqrt(2299) + -1)*1)**2)*-2.\nAnswer: -88*sqrt(19) + 4600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.87 - -0.13. Let q = w + -28. Let c = -20.021 - q. Round c to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, 5\/3, 0.5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183122 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Let j = 41389\/3 + -13796. Sort j, 2, 2\/85, l.\nAnswer: 2\/85, j, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/2*(-386 + 8 + -20). Let q = -1810 + w. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314 + 261 + 2 + 38\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -5 (c) 1.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18692, -19011, -19754, -21095, -23208, -26267, -30446, -35919?\nAnswer: -42860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 - (-23)\/(-5). Suppose 2*x + x - 27 = 0. Calculate the lowest common multiple of 3\/(k\/8 - -1) and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4870 + -4870.4. Let w = -5 + 6. What is the smallest value in n, w, 10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvlvlv. Give prob of sequence lv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 31\/17, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -27. Let v = k + -12. Solve 0 = -v*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*o = 11, 2*q - o = q - 4. Let p = 0.1 - 0.1. Which is the third smallest value? (a) 0.3 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 79*s**2 - 378*s + 27. What is the tens digit of g(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471cbc (base 14) in base 16?\nAnswer: -25027e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**4 + 2*w**4 - 3*w - w**4 + 2*w wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -235, 0.023, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -317 + -3?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-299)\/(-2392))\/((-785)\/392 - -2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 + 262*l - 105. What is s(52)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 2390417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 68. Suppose s*a - 6*a = -j - 4, 4*j = -3*a - 3. What is the second smallest value in -1\/8, -0.8, a?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*k**2 - 44*k**2 - 42*k**2 + 2*k)*(2 - 2 + 1)*(-2*k + 2*k + 2*k).\nAnswer: -10*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f**(1\/5))**(9\/7)*(f**(3\/8)\/f**(-1\/16))**(-18) assuming f is positive.\nAnswer: f**(-99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13*c**2 + 4*c - 4. Let t = 1042 - 1046. Let g(d) = 14*d**2 - 3*d + 3. Determine t*g(r) - 3*x(r).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 3*b - 8. Suppose -9*w + 40 = 4*o - 7*w, 40 = 3*o - w. Suppose 5*c + 2*m + 30 = 3*m, -o = 2*c + 2*m. Determine y(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugouaugozuuo. What is prob of picking 1 z and 1 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 5:20 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1192\/7 + -170. Put s, 13, -3 in descending order.\nAnswer: 13, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-2)\/(-18)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 31 + -4 + 126 + -231?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(78))\/(sqrt(96)*4) - (2 + sqrt(117) + 4 + ((sqrt(117) - (sqrt(117) + sqrt(117)*-2)) + sqrt(117) + -1)**2).\nAnswer: -1060 + 123*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 8*u + 2. Let j be q(8). Let t = 18 + -8. Suppose 1 = 2*r + l - j, 4*r - 2*l = t. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 s when four letters picked without replacement from {b: 3, s: 3, u: 2, y: 4, x: 2, g: 4}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 1159 = 4*p + 1143, 0 = 2*y - 2*p + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -257 in decreasing order.\nAnswer: -2, -3, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 7*q + 9*q + 2 + 2*q**2. Let v = 4 + -2. Calculate l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1462554380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrdzrzrrzzzdzzrzr. What is prob of sequence zd?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76146 - -609171\/8. What is m in -f*m**3 + 15\/8*m**2 + 9\/4*m + 0 = 0?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 10) in base 2?\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53086 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixv when three letters picked without replacement from {x: 2, e: 1, v: 11, i: 1}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 7}. Give prob of sequence zz.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 - 286. Let m = j - -785. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57345\/6132 + 20\/(-15). Let a = z + -52\/511. Find the common denominator of (96\/27 + 3)\/(-2) and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4621 - -7044. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98\/295 - 1\/885. What is the second smallest value in -0.34, n, -2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 12*b**2 + 102*b + 88 = 0.\nAnswer: -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - 0.0518.\nAnswer: -52.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*b**2 + 12*b**3 - 21*b**2 - 28*b**2 - 1 + 6*b**4 in the form p*b + r + q*b**2 + z*b**4 + h*b**3 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21421403 (base 5) in base 13?\nAnswer: 66795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/213 + -10031\/426. Let b = 383\/14 + p. Is 4 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 less than or equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.2054333 rounded to two dps?\nAnswer: -20.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10462322239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 7. What is the tens digit of (-1 - -14)*(0 - l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24741360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - sqrt(136)*6))*-4)\/(2*(sqrt(8) + sqrt(800))).\nAnswer: 8*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02831 less than -0.17177?\nAnswer: -0.14346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 14) to base 13.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 119, 116, 109, 98, 83, 64?\n\"Answer: -2*d**2 + 3*d + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose 4*s - m*c = -c + 24, -2*c = 8. Suppose 4*n + s*r - 85 = 0, 0*n = -2*n + r + 25. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1703, -3409, -5117, -6827?\nAnswer: -8539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -82bb?\nAnswer: -82c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**3\/5 + 261*r**2\/5 + 99*r - 1053\/5.\nAnswer: -(r - 39)*(r + 3)*(7*r - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170609*-0.061.\nAnswer: 10407.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 131?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8848321*j**3 - 5582205*j?\nAnswer: 53089926*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 860913 or 860912?\nAnswer: 860913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 + -137. Which is the second smallest value? (a) -1\/9 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 171*y - 232 = 86*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 550 = 148*t + 618 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7571551kg in nanograms?\nAnswer: 757155100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -36*d**2 - 362*d - 16. Give q(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15*v)\/(v\/(v\/v**(-17)))*(v**(-3\/4))**(1\/7) assuming v is positive.\nAnswer: v**(921\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 19\/4*s**5 + 0*s**4 + 2 + 19*s**2 + 102*s + 0*s**3. Differentiate d(u) wrt u.\nAnswer: 285*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-3 - -16 - (3 + 7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -71144.3498 rounded to the nearest 100?\nAnswer: -71100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -162958\nAnswer: -6192404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 45*k**3 + 218*k**2 - 92*k - 273. Determine r(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -41. Let u = l - 25. Find the third derivative of 5*y**5 + 0*y**5 - y**5 - u*y**5 + 5*y**2 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -318?\nAnswer: 31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u + 35*u - 110 + 108.\nAnswer: 97*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c. Let u be b(3). Let r be (-16 - -8) + 94\/2. Let s = r - u. Sort -1\/5, 4\/9, 0.1, s in decreasing order.\nAnswer: s, 4\/9, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - x = -3*x + 6, 2*x = 2*i + 2. Suppose -r - 20 = 4*v, -5*r = -i*v + 4 - 24. Let o(j) = 2*j + 7*j + 0 - 7 - 10*j + 3. Calculate o(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66821, 133684, 200547, 267410?\n\"Answer: 66863*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:47 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -467 + 467 - 19*y. What is the units digit of i(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 21*n**2 - n + 1. Let b be v(2). Suppose 0*k + k + b = 0. Let h = 231 + k. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5480004 - (-12 + 0)\/(-3). What is z rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 29 = -5*t + 9, 4*b = -t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(2*(-26)\/(-2)). Let x = -0.2 - -0.14. Let t = x - -0.26. Which is the second smallest value? (a) t (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:21 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.638 - 61.628. Let j = -63 - t. Let v = j - -2.0100178. Round v to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(65469807\/45)\/13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(425) + 2 - sqrt(425)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30752*z**3\/7 - 779216*z**2\/7 - 2237070*z\/7 - 217800.\nAnswer: 2*(z - 28)*(124*z + 165)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430869 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -2 + -3 + 18\/(-7). Let d(m) = -m + 2. Let x be d(5). What is the second biggest value in q, 1\/4, x, 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.044, -4, 40, 1\/6, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Let y = -6 + 2. Which is the closest to -1\/3? (a) -1\/3 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016340 is divided by 403?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-104)\/(-143) - 18\/(-66). Solve 4*g - 1 = -2*t + p, -4*t + 5*g - 35 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119186 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 0 + 12\/11*a**2 - 2\/11*a**3 + 54\/11*a = 0.\nAnswer: -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 2*y**2 - 5*y**2 + 0*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167\/(78156\/(-270))*4\/(-90).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2657 divided by 63096.\nAnswer: -2657\/63096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 10*f**2 - 6*f + 19. Let o be h(-9). Let w be -1*(0\/(-1) + 6 + o). Determine q so that -3\/4*q - 3\/2 + 45\/4*q**w + 21\/4*q**4 - 57\/4*q**3 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, b: 5, n: 2, k: 7}. Give prob of sequence bnd.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 14503376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -276*z - 2956. What is the remainder when 1194 is divided by y(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/300)\/(55\/(-25))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {l: 2, e: 1, q: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ac227 - 0?\nAnswer: -2ac227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 3*y + 2. Give d(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/42 - z**6\/3 + 2*z**5 - 20*z**4\/3 + 40*z**3\/3 - 10*z**2 + 2. Suppose v(j) = 0. Calculate j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 0 + (-29 - -37).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*f + f**3 - 71*f + 11*f**4 - 2*f**2 + (0*f**2 - 2*f**3 + 0*f**2)*(-2*f - f + 2*f).\nAnswer: 13*f**4 + f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/3 + 0)\/2. Let j(r) be the second derivative of -s*r + 0*r**2 + 1\/40*r**5 - 1\/12*r**4 - 1\/12*r**3 + 0 + 1\/30*r**6. Factor j(o).\nAnswer: o*(o - 1)*(o + 1)*(2*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5\/3))\/x**(-1\/6)*(x**1)**(1\/10) assuming x is positive.\nAnswer: x**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -418, -48 in descending order.\nAnswer: 5, 0, -48, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + -2) - (-33 + 28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54262*l*v + 120973143*l - 227*v with respect to v.\nAnswer: -54262*l - 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2425686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -21 + 12 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.827836 kilograms?\nAnswer: 0.001827836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 + 0)) + 18 - (147 + -140)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:48 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108115.\nAnswer: 3, 5, 79, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060741 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292.047678 - -282.04767886. Let m = g + 10. What is m rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 26*q = 437. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a874 (base 11) to base 13.\nAnswer: ba1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 26112151?\nAnswer: -26112144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.7 (b) 4 (c) -39 (d) 135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 1. Let k be (-8)\/(-2) + 2 + d. Solve k*l + 4 = 0, 3*z + 0*z + 2*l = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2448*x - 45 + 82 - 37 in the form i + b*x and give b.\nAnswer: 2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 31*i - 142. What is d(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/9 + (-2)\/9. Suppose -9 = -v*f + 3. Let b be 3\/(2 + 2\/(-4)). Solve 3*l + f + b = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**7\/21 + 521*d**6\/6 - d**4\/6 + 2447*d**2 + 7106*d. What is the third derivative of j(r) wrt r?\nAnswer: -120*r**2 + 62520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from jjccjzrzzcccccqjcc?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/307 + 628\/2149. Let j = -145\/7 - -21. Factor -j*d**2 + s + 0*d.\nAnswer: -2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 26. Let w = -22 - s. Which is the closest to w? (a) 1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1603661 (base 7) to base 15\nAnswer: 45222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -511789 take away -1340?\nAnswer: -510449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 6*o. Let q be k(5). Suppose -236 = -3*d + 142. Suppose 0 = 6*u + u - d. Solve -q*t = -5*s - 4*t + u, -5*s - t = -22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1. Let g(o) = o - 2. Let j(t) = -2*b(t) + g(t). Let p(f) = 29*f + 29. Let v(k) = 1. Let m(z) = -2*p(z) + 58*v(z). Give j(m(s)).\nAnswer: -58*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*q = 30709380 + 17107731. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -7, -12, 27, -1, 4 in increasing order.\nAnswer: -16, -12, -7, -1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115689767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1682 is divided by 1326.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*w**2 + 7*w**2 - 24*w**2 + (-40 - 2 + 18)*(0*w**2 - w**2 - w**2).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(-11)\/11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -409 (b) -2\/13 (c) 4753\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.08, 264, -7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 23850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 3. Let g be (0 + 3)*4\/4. Let c be (-9)\/(1*g\/2). Let u(q) = -6*q + 8. Let v(i) = -7*i + 9. Let t(z) = 5*u(z) - 4*v(z). Calculate c*a(y) - 4*t(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -473*b + 483*b - 2720. Let v be (-56)\/(7 + -15) + b. Calculate the greatest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 117745*f*w - 220612197*f - 89*w + 2 wrt w.\nAnswer: 117745*f - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - f = -2*f - 8, 0 = -5*c + f + 17. Suppose 0 = c*v + 5 + 22. Let p = v + 10. Are p and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16148 - 30.2.\nAnswer: 16117.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 1. Suppose 5*d = i - 6*i - 25, 2*i + 5*d + 10 = 0. Let f = g - i. Calculate the greatest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)*1*-2. Let o(b) = b**2 - 9*b + 12. Let q be o(8). Put 2, u, q in decreasing order.\nAnswer: q, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*n + 21 = t, 3*t - 2*n = 37. Let r = -10 + 14. Let g(s) = s**3 - 4*s**2 + 3. What is the remainder when t is divided by g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 - a**3 - 4*a**2 - 3*a**2. Let m(v) = 6*v**3 - 3*v**2. Calculate m(c) + 4*r(c).\nAnswer: 2*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 - (26 + -19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 + 4*d. Let c(b) = 19*b. Let m(s) = -30*s. Let x(y) = -8*c(y) - 5*m(y). What is w(x(j))?\nAnswer: 20*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699390642?\nAnswer: 2, 3, 17, 6856771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 14*h + 23. Let o be u(8). What is the common denominator of o\/84*(86 - (6 - 3)) and 91\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12852 and 8636.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a66 (base 11) to base 16.\nAnswer: -a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 - 20.78. Let z = 20.8 + h. Let f = 4.1 - z. What is f rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86.82 - 90.82. Let l = 109\/168 - -1\/56. What is the nearest to 27 in l, 0.4, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6483676?\nAnswer: 2, 1093, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (252\/(-630))\/(4\/(-320)). Solve 0 = 9*q - q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -59*p**2 - p - 17. Let v(u) = 359*u**2 + 6*u + 100. Determine -13*i(w) - 2*v(w).\nAnswer: 49*w**2 + w + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 62497 and 62500 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 23530*u + 15695868.\nAnswer: -2*(u - 12398)*(u + 633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7591?\nAnswer: 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340995660 by -2199972.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, -41827, -1\/2, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 3. Let k = 13 - 9. Suppose 0 = -36*z + 35*z - k. Determine i(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242184977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57714830 and 12872?\nAnswer: 3218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/25 - 6*b\/25 - 4\/25.\nAnswer: -2*(b + 1)*(b + 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffzw when four letters picked without replacement from mfmmmmzummwm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -5, 2\/5, -0.3 in ascending order.\nAnswer: -5, -3\/8, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -2, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**5 + 4997*w**4 - 60*w**2 - 3*w + 5?\nAnswer: -240*w**2 + 119928*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 2. Suppose 4*n - 23 = x + 2*x, -13 = -3*n - 2*x. Let m be u(n). What is the second derivative of 3*a**5 + 0*a**5 + 0*a**5 - m*a wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12\/4 - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14928 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -a + 3*a. Suppose -c = a*c - 15. Suppose -5*n = c*r - 205, -3*r + 132 + 32 = 4*n. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 2*d - 3*d - 2162*d**2 + 3 + 2161*d**2 - 2. Let m(y) = -1 + 0 + 227*y - 224*y + y**2. Determine -3*m(f) - 2*z(f).\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.026 + -0.5\nAnswer: 1.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14744824?\nAnswer: 2, 67, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 259621 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 40*l + 103. Calculate g(21).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Which is greater: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -643e8?\nAnswer: -64404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*s**2 + 22608*c**3 + 21*c**2*s + 2*c*s**2 + 41*c*s - 572*s wrt c.\nAnswer: 12*c*s**2 + 135648*c + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let v = 15 - 11. Calculate the remainder when (0\/(-3))\/(-3) + v is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose -45 = -5*u - o*k + 45, -u - 4*k = 0. Suppose -4*l - u + 135 = q, q - 5*l = 142. Is 33 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-21774)\/(-912) - 33\/3)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14.44. Let o = 3.43999783 - h. What is o rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.1463 minutes in days?\nAnswer: 0.371629375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2 + 7. Sort 1\/6, -1\/6, n in decreasing order.\nAnswer: n, 1\/6, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 199\/5*o**2 - 134\/5*o - 1\/5*o**4 - 64\/5*o**3 + 0.\nAnswer: -o*(o - 2)*(o - 1)*(o + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 = -y, 3*g + 4*y = 2*y - 1. Suppose -2*b + b = g. Sort b, 5, 1 in increasing order.\nAnswer: b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107282083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*(p\/(p*(p\/p**(3\/4))\/p*p))\/p*p**(-7)*(p**(-2)*p)\/(p\/((p*p**(-2\/13)*p)\/p*p)) assuming p is positive.\nAnswer: p**(-333\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/45*75\/(-100)*16\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -47, -61, -75, -89, -103?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5081.4 - 5082.7. Suppose 2*r + 10 + 0 = 0. What is the third smallest value in -2, u, 1, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1411*c**2 - 10*c + 154. Let d(y) = y - 22. Calculate -7*d(w) - p(w).\nAnswer: 1411*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 60780 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.657 + -0.717. Let h = -13.24 - -13. Let z = h + j. What is the smallest value in z, -7, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 306380.312 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*660\/36*(-4)\/(-32)*-8\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 + 75*v**3 + 50*v**2 - 300*v - 280 = 0. What is v?\nAnswer: -14, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((2\/(-2))\/(-2))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:15 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-7)\/((-21)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1221 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/40 and 33\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/10 - -2*(-18)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 158. Let l = g + 165.703. What is l rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -3*p + p. Suppose -j + 5*w + 131 = 6*w, -4*j - 2*w = -542. What is the greatest common divisor of j and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*r - 54, r = -4*v + 5 + 151. Find g, given that 73*g**3 - 39*g**3 - 4*g**2 - v*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:00 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6403990?\nAnswer: 2, 5, 43, 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 14. Let w be y(5). Which is the closest to 0.1? (a) w (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -29.6. Which is the nearest to 8? (a) -0.2 (b) m (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r = 34*r - 12*r - 979. Let q(n) = 32*n - 344. Give q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.5 + 9. Let x = 1 - a. Round x to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 105*g**3 - 217*g**3 + g**2 + 19 + 2*g**4 + 110*g**3 to o*g**4 + b*g + m + n*g**3 + a*g**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2 + 39612*l - 118818 = 0 for l.\nAnswer: 3, 19803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 11*f**2 + 5. Let r(a) = -12*a**2 + a - 4. Let w(s) = -3*r(s) - 2*v(s). Calculate the remainder when 49 is divided by w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/90081987?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778 + 1564 - 762 + 98*k.\nAnswer: 98*k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -92, -74, -50, -20, 16, 58?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*p - 26, -4*p - 20 = -2*k - 0*k. Solve 2*w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076917343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1330*m - 18898. Give r(-12).\nAnswer: -2938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from ieke.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11222002 (base 3) to base 11\nAnswer: -27a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*1)\/(sqrt(128) + (sqrt(128) - 4*sqrt(128)) + sqrt(128)).\nAnswer: -7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 337769369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by (10\/(200\/185))\/((-2)\/(-8)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -277*d - 15. Let f be v(20). Let w = 10594 + f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddrdqqddqdqd. Give prob of sequence drd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 3*y - 2. Let u be g(6). Let j = -11 + u. Suppose -j*x - 201 = -551. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 230009*l**2 - 5*l - 6. Let s be k(7). Let x = 24470400 - s. What is x rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1882, 1869, 1858, 1849, 1842?\n\"Answer: r**2 - 16*r + 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from umpsobo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -2*h, 3*v = 2*h - 4*h - 1. Is 26 a factor of 8*(v + 42\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 579940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-45))\/(3\/48) + 11. Factor 5\/6*c**2 + 1\/3*c - u*c**4 + 0 + 1\/6*c**3.\nAnswer: -c*(c - 2)*(c + 1)*(2*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 96.4 (b) -1\/5 (c) -3 (d) 0.081 (e) 2\/3 (f) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x. Let q(d) = -3278 + 3278 - 2*d**2. Give q(u(k)).\nAnswer: -578*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5304 and 5746884.\nAnswer: 11493768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u + 2*u - 1)*(-161*u**2 + 1506 - 1506).\nAnswer: -161*u**3 + 161*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = -134*m + 1009 + 522 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/120 - v**4\/2 - 18*v**2. Find the second derivative of x(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bts when three letters picked without replacement from {b: 2, c: 1, t: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2, m - 6*m - 2*c = 43. Let p(f) = -f - 14. Let n be p(m). Sort n, -2, 5 in increasing order.\nAnswer: n, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -428\/633 + 2\/211. Which is the third smallest value? (a) -1\/5 (b) h (c) -21\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 + 12)\/((-2)\/6). Solve 0 = -7*x + o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -34*h + 320. Let x(f) = -70*f + 639. Let c(g) = 13*p(g) - 6*x(g). Find the first derivative of c(o) wrt o.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 440*o**2 - 828*o**2 - 1568 - 252*o + 384*o**2.\nAnswer: -4*(o + 7)*(o + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(1\/4)*q)\/q))**(-1\/23)\/(q**(4\/7)*(q*q**(-5)*q)\/q) assuming q is positive.\nAnswer: q**(2187\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {q: 2, g: 1, z: 1, w: 2, s: 1, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - 37) + 52 - (-1 + 14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5633.2 minus 1.69324?\nAnswer: 5631.50676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17189.\nAnswer: 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 17 = 9*o. Factor 3677*r**2 - 3676*r**2 + 1 - r + o*r + 1.\nAnswer: (r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 4864*c + 8871936.\nAnswer: 2*(c - 3648)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*z**4 - 9*z**3 - 45*z**2 + 1 wrt z.\nAnswer: -504*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2178 and (3102\/31944)\/(6\/(-8))?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 5*u**2 - 21. Let r be v(6). Find the second derivative of -r*h**4 + 8*h**3 + 29*h**4 - 13*h**4 - 6 - 7*h wrt h.\nAnswer: 12*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + (sqrt(720) + 0 + 4)**2 - (-1*(2 + (sqrt(720)*2)**2 + sqrt(720) + sqrt(720)) + -1)) + 3.\nAnswer: 120*sqrt(5) + 3623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:49 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 9*q - d, 2*d = -2*q + 4. Suppose q = -3*i + 2*i + 4*i. Suppose i = -3*t + 9*t - 210. What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81665 (base 9) to base 12.\nAnswer: -27142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 9:05 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjjjjcjj. What is prob of picking 2 j?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 13*i + 4*i + 56 = 0. Solve 0 = 3*q + i*l - 7, 2*l = -q - 2*l + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (5 + (sqrt(1053) - sqrt(1053)*-2))) + -5 - (0 + -3*(-2 + sqrt(1053))).\nAnswer: -16 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -16*f**3 - 2*f**2 - f + 2. Determine q(-2).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3) + 21\/7. Solve u*b = 5*g + 5, -9 = 3*g - 2*b + b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8059 or 1926360\/239?\nAnswer: 8059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f + 4 = 0. Suppose 5*u = -18 - 2. Calculate the lowest common multiple of f and (-45)\/(-2) + 2\/u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 55.13547 millimeters?\nAnswer: 55135.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398530631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 680 - 163. What are the prime factors of m?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 15*w**2 - 500*w - 88. Let p(o) = o**3 - 8*o**2 + 250*o + 46. Calculate 15*p(r) + 8*u(r).\nAnswer: -r**3 - 250*r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 greater than or equal to -593\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**3 - n**3 + 6*n**3 + 6*n**3 - 16*n to h + v*n**2 + w*n + s*n**3 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f - 31. Let x be c(3). Suppose -3*z + 16 + x = 0. Let d(p) = -p**3 + 7*p**2 - 8*p - 3. Determine d(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-15) - (157 - 150))*20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.481 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -r - 7*k, 1875*r - 1872*r = -4*k - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 141 - 141 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-8))\/((-3)\/390). Suppose -680 + 125 = 5*t. Let f = s - t. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -615 + 9893\/16. Let k(c) = -3*c + 9. Let q be k(-7). Calculate the common denominator of o and (-6)\/(-30) + 119\/q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4621, 19137, 43331, 77203?\n\"Answer: 4839*z**2 - z - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -112200 (base 4) to base 6\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -6\/13, 1\/7, -0.3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 28c23?\nAnswer: 28c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 634*w - 2. Let o be k(2). Let t be o\/14 + (-3)\/7. Calculate the greatest common factor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 125?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3289\/184 + -16)*(-1)\/(-5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39207104 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 100*q - 415. Calculate i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:21 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 97 - 705. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21292\/45 - 4244\/9. Find a, given that -44\/5*a**2 + 28\/5*a + b - 28\/5*a**3 + 36\/5*a**4 = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 = 2*t + i - 465, 7*t + 2*i + 3*i - 120 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52114408589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 270724184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4105 is divided by 293.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlh when three letters picked without replacement from lldldhdlhhddlhd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -3\/2*c**2 + 0 + 1\/6*c**3 + c. Let p = 5 + -5. Give b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, y: 1, k: 1, q: 1, z: 1}. What is prob of sequence bbyz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + d**2 + d + 8. Let s be v(0). Suppose i = -i + s. Suppose -j + 5 = 5*h - 0*j, -4*j - 4 = -i*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24703 + t**2 - 37*t + t**2 - 24703 to the form y*t**2 + c + k*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 + -12.93. Let x = y + 13.4. Which is the third smallest value? (a) 2 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from ppppddvppvndvvdps.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-14)*h*(h*(h\/(h*h**(11\/3)))\/h)\/h*(h*h**3)\/(h*h*h**5))**(-7\/9) assuming h is positive.\nAnswer: h**(413\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638138 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 284*z = -44*z + 8838700. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**4 - 10*n**3 + n**2 - 7*n - 1122 wrt n.\nAnswer: 60*n**2 - 60*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a - 5*b + 6, -2*a = -3*b - 16. Suppose -w**a - 1\/3*w**4 - 2\/3*w + 0 + 1\/3*w**2 + 5\/3*w**3 = 0. What is w?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/44 and -85\/1522.\nAnswer: 33484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31930 and 24335.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2310 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a factor of 185427919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 979 or 6852\/7?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + ((-9)\/(-4) - 2). Let q = u + 69\/44. Let w = -0.1 + 0.3. Put q, w, 0.3 in increasing order.\nAnswer: q, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 27*h. Let t be g(1). Suppose 3*i + 3*l = 8*i - 4, l = 5*i - 8. Suppose d - t = -i*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -g + n - 14, -n = -4. Suppose 3*s = -g*s - 50. Let z = -6 - s. Solve -c = -3*c - z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4245 - -4251. Solve d*c - 14*c = 48 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-2)\/(-1) - 11) + 27 and 314.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r. Let v(n) = -2*n**2 - 35*n. Let l(p) = -4*v(p) - 28*x(p). Let b(t) be the third derivative of -t**5\/30 + 2*t**2. Determine b(l(i)).\nAnswer: -800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.77.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110592 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168071 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + (0 + sqrt(425))**2 + -4) - ((-1 + sqrt(425)*-1 + sqrt(425) + 2)*-1)**2) + -2.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2 - 592\/(-316)) - -1. Let w = -4265\/6557 + u. What is the common denominator of (-10)\/15*57\/8 and w?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2177 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -542 + 535. Which is the nearest to -0.2? (a) s (b) 0.05 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54674920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1639 - -34)*(1 - 9\/5).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:06 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -151396118 divided by -3221194\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 275\/44)\/((-57)\/(-152)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4396\/50 - 1\/(25\/(-2)) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.36 in 1, -1, -4\/9, -4\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 675 = -6*h. Let v = -87 - h. What is the remainder when 154 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/36 + 5*a**4\/36 - 5*a**3\/18 + 47*a**2. Factor l(z).\nAnswer: -5*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2090, -8339, -18760, -33359, -52142, -75115, -102284, -133655?\n\"Answer: -h**3 - 2080*h**2 - 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2824\/54031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345, 691, 1035, 1377, 1717, 2055?\nAnswer: 2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 556894049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.661623471833 minus 0.4?\nAnswer: -3.061623471833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = z. Suppose z = -28*k + 30*k - 118. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68274079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288) - sqrt(288) - sqrt(288))*4*-6)\/(sqrt(300)\/sqrt(3) + (sqrt(864) - sqrt(24))\/sqrt(6)).\nAnswer: 216*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-3))\/2*(-5625)\/3125.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 165*c**2 + 331*c - 397. What is m(163)?\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*l + 876, 5*h + 0*h - l - 1454 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) + sqrt(76)*2 + sqrt(76)) - sqrt(76))\/(sqrt(4) - sqrt(20)\/(sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5)) - sqrt(4)).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -518 - -540. Let x be 8\/6*117\/6. Let f = x - i. Solve f = -z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose w*v + 42 = 6*v. Let t(d) = -3*d**2 - 15*d + 6. Calculate the least common multiple of v and t(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -329*r - 172*r. Factor 0 + r*x**3 + 8\/15*x**2 + 0*x - 2\/15*x**4.\nAnswer: -2*x**2*(x - 2)*(x + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*l - 2213*l - 1130*l - 4430*l.\nAnswer: -7994*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v*v*v**(-2\/11)))\/v**(-6))**(14\/3) assuming v is positive.\nAnswer: v**(1106\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -21, 76, 235, 462?\n\"Answer: u**3 + 22*u**2 - 32*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 940361.6 millilitres?\nAnswer: 940.3616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -217*d**2 + 538898 - 538898. Let r(b) = 2*b. Calculate r(s(p)).\nAnswer: -434*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 37*k**2 + 80*k - 1217. What is the remainder when g(18) is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*u - 3*i - 4, u + 2*i + 2 = 0. Let w = u + 9. Let y(s) = -2*s + 6. Determine y(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27456 + 1?\nAnswer: 27457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a - 6 = 0. What is the nearest to 0.1 in a, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2143 + -981. Let x = k - 652. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 399 and 57?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49862506753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 86358678 divided by -9\nAnswer: -28786226\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.02003 rounded to two decimal places?\nAnswer: -48.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.25, -1\/6 in increasing order.\nAnswer: -3, -1.25, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 4\/180267?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50505280, -202021113, -454547502, -808084447?\nAnswer: -1262631948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 < 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 2. Let g(j) = 48*j + 9. What is g(n) + 5*m(n)?\nAnswer: 43*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -28*g**3 - 6*g + 3. Let s(p) = 1 - 38*p**2 + p**3 + 38*p**2 + p. Let c(j) = -d(j) - 6*s(j). Differentiate c(r) wrt r.\nAnswer: 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 64*v**2 + 5*v + 319. Let s be r(-64). Let y be (-16)\/(-36) - (-2)\/(-3). Which is the closest to y? (a) -10 (b) s (c) 0.2 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 236 - 152. Let t = 84.1 - u. Is 22 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 1230*d**2 - 75645*d.\nAnswer: -5*d*(d - 123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-63) - (-1360)\/(-1190).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, 3, -25 in ascending order.\nAnswer: -25, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/174571 or -1?\nAnswer: -6\/174571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10558418.\nAnswer: 2, 13, 406093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = -3*w - 12645, 0 = -w + 5*n - 4185. What is w rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10303222310 (base 4) to base 13\nAnswer: -3517b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 3*p\/4 - 1\/2.\nAnswer: -(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - ((-26)\/6)\/(-1). Let n = 1.542 + -1.52. Let z = 48.022 - n. Is y not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/(-10))\/(5\/(-30))*30. Is -628 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2902651?\nAnswer: 53, 54767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*s - 8, -z + 2*s + 27 - 43 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, h: 5, i: 6, m: 1}. Give prob of sequence imj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 75. Let s = 18.9999876 + p. What is s rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.35 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8577413 to the power of 1\/2, to the nearest integer?\nAnswer: 2929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 624 - -306. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543033.735 rounded to the nearest 10000?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**5 + 10*h**4 - 7*h**3 - 4*h**2 + 4*h = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 220389 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 457718820*r**2 - 350609*r - 740.\nAnswer: 915437640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-333)\/370)\/(6\/4). Which is bigger: 11.1 or x?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 36*i = -4*x, -2*i + i + 2*x = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 2*d**4 + 8*d**2 + 2*d**2 + (4 - 4 + 1)*(-3*d**2 + 3*d**2 - 8*d**4).\nAnswer: -6*d**4 + 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 2. Let o be l(-2). Let u = 91 + -25. Suppose 5*j - o*x = 113 + 199, u = j + x. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-4 - -3)*11. Let k = a - -15. Suppose 0 = 3*i - k*i + 9. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**6\/10 - 3*n**5\/5 - 19*n**4\/4 - 7*n**3 - 3379*n. Factor q(m).\nAnswer: 3*m*(m - 7)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*j*r*u - 28*j*r + 196456*j*u - 44631*j - r with respect to u.\nAnswer: -20*j*r + 196456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7810 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106.1 - 109.1. Which is the third biggest value? (a) u (b) 2 (c) 1\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 609 divided by 1409\nAnswer: 609\/1409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 366*m. Let p(k) = 3*k. Determine q(p(r)).\nAnswer: -9*r**2 - 1098*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:29 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 4*m - 1006390 - 420754, 5*q + m = 594662. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 623 = 3259. Is c a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (20\/(-15))\/((-4)\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9032185\/4 or 2258047?\nAnswer: 9032185\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18124209853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvzmmmmzzmmm. What is prob of sequence zvv?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 + -443. Do -1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14*24\/768*28?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udpdpdpupuddddud. Give prob of sequence ddp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -55*v + 16*v + 10*v + 14*v + 16*v. Let l(x) be the third derivative of -x**2 + 0 + 0*x + 0*x**3 - 11\/24*x**4. Determine c(l(n)).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/76)\/((-1)\/(3\/((-3)\/(-1))))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let g be ((-208)\/(-195))\/((-4)\/(-6)). Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45495 rounded to three dps?\nAnswer: 0.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -659*k + 221*k + 219*k + 216*k. Let w(o) = -1146*o. Calculate w(j(g)).\nAnswer: 3438*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2 = -2*f, -22*f + 4 = 5*p - 26*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 28*r - 149. What is p(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -13216?\nAnswer: -6608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57732722252 - 57732726241.0002023. Let k = q + 3989. What is k rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3*y = -0*y + 31, -3 = -a + 4*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, a: 5}. Give prob of sequence ssss.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010101110010 + 11?\nAnswer: -10100010101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*g + 10 = 0, 19 = -4*n - 3*g - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 713 and 1327?\nAnswer: 946151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 28. Let z be h(7). Let o be 1\/(28\/8) + 236\/z. Suppose o*m - 33*m = 223. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h**3 - 7*h**2. Let i = -14 - -17. Let n(r) = -13*r**3 + 6*r**2. Let y(t) = i*n(t) + 4*g(t). Find the third derivative of y(l) wrt l.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a - 4*a - 2*q - 13, -2*a + 5*q = -16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37 + -1 + -6 - -6. Let w be (-16)\/j*(5 - 14). Solve 5*k = -w + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1382, -2765, -4148, -5531?\n\"Answer: -1383*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f - 85 = -23*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 divided by -266?\nAnswer: -201\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1614384*j**3*y**3 + 62*j**2*y**3 + 9*j*y**3 - 7*y**3 wrt j?\nAnswer: -9686304*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70521 and 869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 + -38.979?\nAnswer: -38.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42491650*o**5 + 2*o**4 - o**3 + 236052221*o**2 wrt o?\nAnswer: -2549499000*o**2 + 48*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106753\/92 - 3481\/3. What is the common denominator of m and -53\/39?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-5) + (-6 - (-30)\/6). Which is the third smallest value? (a) h (b) 3 (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26265685 rounded to the nearest 100000?\nAnswer: -26300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4128192?\nAnswer: 2, 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 82573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 1. Let g(b) = -6*b**2 + b - 4. Determine g(r) + 3*v(r).\nAnswer: 3*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wels when four letters picked without replacement from ewewdeslnsls.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 4. Suppose -2*p + 2*a - 33 + 11 = 0, a = -p - 9. What is the tens digit of (k + -1)*(1 - p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1095*x - 21546 + 5890 = 30642 + 36922 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -50. Solve k = -3*s + 6, s = -k + j*s - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*x + 16 = -m, 140 = m + 23*x. What is the remainder when 92 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069*j + 14683 + 16318 = 0 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4*(5 + -6))\/(48\/472488)?\nAnswer: 2, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 83 from -47.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-9*(-74)\/(-153846)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 4*c**2 - 46 + 26*c**3 + 8 - 13*c**2 in the form x*c**3 + v + r*c + s*c**2 and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from {u: 3, z: 1, d: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -16 - (-21 - -29 - (0 + 6)) - 22.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5624 = -x - 0*w, x - 5633 = w. What are the prime factors of x?\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 109 = 4*n, 281*n - 99 = 3*v + 277*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 962\nAnswer: -96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34360 - -5197?\nAnswer: -29163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13648404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 4*c = -44 - 52, 16*c - 11*c = -2*j + 4*c + 16 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 62*c + 4. Let l = 203 - 206. Let h(p) = 2*p**2 - 61*p + 6. Let y(z) = l*m(z) + 2*h(z). Solve y(x) = 0 for x.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -120213311?\nAnswer: 120213311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -127*u**8\/56 + 13*u**5\/4 + u**4\/24 + 639*u**2. What is the third derivative of y(p) wrt p?\nAnswer: -45720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998746747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234011536*u**2 + 495*u - 154774.\nAnswer: 468023072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 14) to base 8\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 210.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 845919 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 - 1 = 0. Let o(c) be the third derivative of c**5\/60 - c**4\/24 - c**3\/6 + 2*c**2. Let v(l) = l**2 - 2*l - 2. Calculate z*v(k) + 2*o(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 136. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4927?\nAnswer: 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/22)\/(((-5)\/5)\/11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -15. Let i = -8 - b. Let l = i - 3. Let v(g) = -g**2 - 4*g + 4. Determine v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1893\/8 + 237. Suppose -3\/4 + 9\/8*o - b*o**2 = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40782, 0.2, -81\/10 in descending order.\nAnswer: 40782, 0.2, -81\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 538. Suppose -212 = -5*i - 5*s + g, -5*i + 2*s + 615 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.005? (a) -225 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -489, -938, -1381, -1818, -2249?\n\"Answer: 3*m**2 - 458*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -361*t**2 + 1333800*t - 1232010000 = 0.\nAnswer: 35100\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273563058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -1\/6, 4, 0.5315, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-12))\/((-2)\/(-3)). Let k = 12 - 7. Let h be (7\/(-14))\/(k\/4). Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -4)*(-3 + 1). Suppose -l*f + f = -6. Suppose -f*k - 3*q = -55, -4*q + 107 = 4*k + q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 553 + -811. Let m = 1572 - 1103. Let f = b + m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 - -3.55. Let f = 0.52 - p. Let n = 1\/5 + 1\/20. What is the fourth smallest value in f, n, 1\/5, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c + 24. Give r(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -24*k**2. Let x(t) = -2*t**2 + 3*t + 3. Let d(f) = -2*f**2 + 4*f + 4. Let l(a) = 3*d(a) - 4*x(a). Calculate l(g(r)).\nAnswer: 1152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away -16459951209?\nAnswer: 16459951186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 18. Suppose 2 = 5*m - i*m. Which is smaller: m or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 150*i + 1125.\nAnswer: 5*(i + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11471 + 34412\/3. What is the fourth biggest value in r, -0.1, -0.5, 10, 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 15*s**3 - 3*s**2 - 372*s + 735*s - 362*s.\nAnswer: -15*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 11, 0.\nAnswer: 0, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 4*w - 1150, j + 201 = -5*w. Let i = j - -323. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93920.\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let g(j) = -52*j. Calculate g(z(b)).\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 156806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usssuyuuu. Give prob of sequence sss.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3*r + q**3 - 2*q**2*r*w**2 - 2*q**2 + q*r*w**2 - q*w + 7*r wrt q?\nAnswer: 6*q*r + 6*q - 4*r*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21668 + 5107 = 185*b + 410*b for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 87 and -21\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 29. Let m be w(29). Suppose m*c = v - c - 1180, c = -v + 1182. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.756 - -6.154. Let z = o + 1.09. Which is the second biggest value? (a) -2 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12262 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5285268?\nAnswer: 2, 3, 19, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 160bb3?\nAnswer: -160bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 5*i**2 - 5*i - 1. Let o(s) = s + 15. Let m be o(-11). What is w(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -808*-3.49.\nAnswer: 2819.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140560635 (base 7) to base 11.\nAnswer: 5195383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 46, 69, 92, 115, 138?\n\"Answer: 23*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170174671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13235 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26379 is divided by 170?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/60 - c**4\/6 - 11*c**3\/6 - 5*c**2. Is y(8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -0. Suppose -t = -v*t + 30. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 0*s**2 + 15*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28107612?\nAnswer: 2, 3, 13, 19, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/14 - (-5 - (-87954)\/(-42)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-7 - -1))*1\/(-21). What is the smallest value in l, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388587, 389012, 389439, 389868?\nAnswer: 390299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 33*h**2 + 5*h + 36. Let k be r(-5). What is the highest common divisor of 44 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 14*c - 4*d + 6 = 0, 4 = -4*c + 4*d. What is the closest to c in 0, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*o - 3*o - v, 30 = 5*o + 5*v. Suppose o*k = -2*k + 16. Let y(j) = -j**2 - 17*j + 60. Let m be y(3). Solve 0*n + n - k = m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -778, -1557, -2336, -3115, -3894?\n\"Answer: -779*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 6*x. Let v(b) = -43*b**2 - 41*b + 28. Let d(z) = 20*z**2 + 20*z - 12. Let a(n) = 7*d(n) + 3*v(n). What is 6*a(r) - 17*u(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhx when three letters picked without replacement from {g: 4, x: 1, h: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 6*m**2 + 6*m + 5. Let w be v(-4). Let y = w + 74. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*k + 115*k - 108*k)*(0*k - 4*k + 2*k) + 4 + 0*k**2 - 2 - k**2 - k.\nAnswer: 385*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, 1\/4556940, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 + -113 + (-2 + 1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -1593.8627?\nAnswer: 1594.8627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(3\/11))**44 assuming i is positive.\nAnswer: i**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -0.3 (c) 0.4 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 8. Let p(y) = y**2 - y - 7. Let c(f) = -6*p(f) + 5*v(f). Let o be c(3). Calculate the greatest common factor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29589 + 2383.70411. What is the third biggest value in 4, g, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 9. Let w be h(9). Suppose -5*l + 5 + 15 = w. Solve -3*m = u - 19, 3*u + l*m = 5*m + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -295*l + 2365. Let q be h(8). Sort 430, 2, q, -1 in descending order.\nAnswer: 430, q, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8757.9905626 - 8758. Round x to 4 decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3163 and 0.27933471704?\nAnswer: 1.03696528296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199\/109877 + -14452456217\/2637048. Let u = i - -5482. Let d = 2399 + -71981\/30. What is the common denominator of u and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 3852\/11, 0.1?\nAnswer: 3852\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 1. Let y = -175 + 185. What is the least common multiple of y and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*w + 133. Let i = -6091 + 6523. What is the remainder when i is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412 + 3.6.\nAnswer: -408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16740 and 22?\nAnswer: 184140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 486*s**2 + 8*s + 4. Let t(x) = 981*x**2 + 18*x + 10. Give 3*t(w) - 7*u(w).\nAnswer: -459*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 12*z**2 - 5*z - 6. Let v be a(-9). Suppose -3*r + 582 = r + k, -4*k = -2*r + v. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-392)\/10)\/(16\/640). Let f be (5\/((-100)\/(-6)))\/((-21)\/d). Let c = -22 + f. Sort c, 3, 0.04, 3\/7 in ascending order.\nAnswer: 0.04, c, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 0*h**2 - 4*h**2 + 3*h + h**3 - 4*h**2 + 2*h + 3. Calculate y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53246 + -1030?\nAnswer: 52216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 4. Let b be r(-8). Suppose -b*u - 14 = j, j = 5*j + 2*u. Let q(a) = 0*a + 2 - 3*a + 0*a - a**j. Calculate q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c**3 - 45*c**2 + 36*c - 21. Let q(a) = 4*a - 5 + 3*a**3 - a**2 - a - 10*a**2 + 6*a. Let g(l) = -2*i(l) + 9*q(l). Factor g(w).\nAnswer: 3*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/31)*a*a)\/a**(-5\/6)*a**9\/a*a**(-13)*a*a assuming a is positive.\nAnswer: a**(-25\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 5, i: 4, z: 3, x: 4}. Give prob of picking 1 i and 1 x.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.1 - -40. Let m = 0.1 + i. Which is the second biggest value? (a) m (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*p**4 + p**3 + 114*p**2 + 112877*p?\nAnswer: -1464*p**2 + 6*p + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 21.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660266827 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:45 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k - 32. Suppose 2*l + 3*l = 25. Let z be g(l). Solve -4 = z*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 81*u**2 - 39*u + 86. Determine h(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171) + -2 + -5 - (-3 + -2 + sqrt(171) + -2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/60)\/(1\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221224173*h**5 + 118*h + 287393 wrt h?\nAnswer: 4424483460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41623 is divided by 13838?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -11.1. Let t = i + 8. Let z = 2.98 + t. What is z rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 6:22 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4031842 micrograms?\nAnswer: 403.1842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10446276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + h + 6. Let g(n) = 7*n**3 - 4*n + 4. Let a be g(1). Let x(d) = -d**2 - d - 4. Give a*x(i) + 5*f(i).\nAnswer: 3*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18091*a**3 + 27536*a**2.\nAnswer: -108546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*j - 10*j + 2*j)*((-4 + 5 - 2)*(8 - 5 - 22) + (-2 - 1 - 1)*(-2 + 1 + 2)).\nAnswer: 315*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -7.1. Let w = y + 8. Which is the second smallest value? (a) -2 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3033022664?\nAnswer: -3033022665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 135*w**2 - 2127*w - 611. Calculate d(42).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6016, -12050, -18084, -24118?\n\"Answer: -6034*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/17365425 and -58\/1705?\nAnswer: 17365425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3 = -12606*z + 12602*z, 5*n + 0*z = 5*z + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 + 7*r + 7. Let v(d) = -11*d**2 - 8*d - 5. Let x(y) = -4*g(y) - 3*v(y). Calculate x(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3600)\/624*(-4)\/(-6) + 4. Factor 2\/13*f**5 - 4\/13*f**4 - s*f + 0*f**3 + 4\/13*f**2 + 0.\nAnswer: 2*f*(f - 1)**3*(f + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21473 + a8?\nAnswer: 2155b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -13549\/20500 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c - 4, -4*a - 1170 = 3*c. Is a at least -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/9 - (-50)\/(-450).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*f - 3580 = 2303 + 2917 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -612*v - 341. What is the hundreds digit of a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -7, 2 in increasing order.\nAnswer: -182, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1616*z - 804. List the prime factors of p(-6).\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 70 + 6 = 0. What is the remainder when d is divided by (-4)\/(-14) - (0 + (-300)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**0)\/o)**(-1\/2)*(o*(o**(-1)\/o)\/o)\/(o\/(o*o**(1\/6))*o*o))**(-4))**(4\/13) assuming o is positive.\nAnswer: o**(184\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/3 + 5*m**2\/2 + 2*m + 2. Let c be d(5). Calculate the remainder when (3\/3)\/(1\/c) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321916533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/7 - 286*r\/7 - 288\/7 = 0 for r.\nAnswer: -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*h + 62, 2*h + 184*f + 20848 = 360*f + 403*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 + 513*f**2 - 22011*f + 247043 = 0?\nAnswer: 23, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 18. Let v = -12 - -14. Suppose -2*t = -v*f - 8, 2*t - t + 4 = -f. Let d be k(t). What is the highest common divisor of d and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/14)\/(-9)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -76 (c) 1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**10)\/z*(z\/(z**3*z))\/z*z**4*z*((z**6*z)\/z)\/z assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 722.45 - 101.45. What is the third smallest value in -0.3, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-355)\/(-336) - (-4)\/(-14). Let b = v + -63\/16. Find the common denominator of b and -37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 1. Let i(v) = 16*v + 5. Let u(j) = i(j) - 5*n(j). Let s(y) = 2*y**2 - 2*y**2 - y**2 - 4*y**2. Calculate u(s(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/212 and 848\/(-384)*4 + 2.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -7*c + 4*c. Suppose -4*y = 8, -9 = -5*k - 5*y - 4. Suppose -5*p + 46 = k*h, -4*p - p - 90 = -5*h. Calculate the remainder when c is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -27, -0.5.\nAnswer: -27, -4, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 27a36360?\nAnswer: 27a3635c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggujjlww. Give prob of sequence jg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3884, -3883, -3882, -3881, -3880?\n\"Answer: m - 3885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*k + 3*p, 3*k - p = -k + 17. Solve -7*n = -k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2 - 135*t + 131*t - 2. Let x(i) = -i + 3. Let g(h) = -h + 2. Let o(f) = 4*g(f) - 3*x(f). Determine -m(s) + 3*o(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15157 - 0.35157. What is the nearest to 1\/10 in -0.4, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 3\/(60\/244) and 45\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208952103?\nAnswer: 3, 69650701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 3 + 18 + 2*t)*((-1 + 4 - 1)*(-2 + 2 + t**3) + 16*t**3 - 10*t**2 + 10*t**2 + (0*t**2 + t**2 + 0*t**2)*(t - 3*t + t)).\nAnswer: 34*t**4 + 1428*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9594793 to the nearest integer?\nAnswer: 3098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 10*f + 15*f + 21, -b - 3*f = 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852 = -129*v - 696 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43703293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = n - 6, 5*n - 2*f + 27 = 0. Let u = n + 11. Let g = -2 + 2.1. What is the closest to 0.1 in g, -7, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.8735*0.2.\nAnswer: -7.3747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47519490*y**3 + 92460036 with respect to y.\nAnswer: 142558470*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59, -101, -145, -191, -239, -289, -341?\n\"Answer: -b**2 - 39*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 2. Let a = 30 - 25. Let q = d + a. Which is greater: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0928 to three dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 500 + -428. Calculate the smallest common multiple of v and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/25 of a tonne?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose -2*j = -v - 6. What is the second derivative of 2*y + 2*y**j - 2*y**3 + 2*y**3 wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6078 by -2026.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79\/2*q**2 - 46*q - 10 - 7\/2*q**3.\nAnswer: -(q + 1)*(q + 10)*(7*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by 19486.\nAnswer: 65\/19486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -143, -278, -469, -716?\n\"Answer: -28*r**2 - 51*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let j = l - -4. Let s(b) = 7*b**2 - 2*b + 1. Is s(j) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 14*s**2 + 21 - 5 - 3818*s + 3827*s. Determine b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 b, and 1 y when four letters picked without replacement from bbbyybbbbybbbbbv.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-5*j**2 - 8*j**2 + 3*j**2) + 6*j**2 - 3*j**2 - 2*j**2 + 2*j.\nAnswer: 11*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus -37226.2?\nAnswer: 37226.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -225, -438, -651, -864?\n\"Answer: -213*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 9\/20*t**6 + 0*t + 0 - 54*t**2 + 23\/4*t**4 + 12\/5*t**5 + 15\/2*t**3 + 1\/70*t**7. Factor s(y).\nAnswer: 3*(y + 1)**3*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 7*u**2 + 2*u - 9. Let o be r(6). Let y be 2\/8 + o\/(-12). Suppose y = m - 12. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 1, -1.8, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*n + 15540 = -1341 - 12176 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 1.647, -18, -11 in decreasing order.\nAnswer: 1.647, -0.08, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 25. Let r be -23 + (12\/4 - 5). Let a be b(r). Let w = -6 - a. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/j**(-5))\/((j**(-4\/5)\/j)\/j**(-3)) assuming j is positive.\nAnswer: j**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -76*k - 13. Let i be t(-19). Suppose -i = 139*r - 142*r. Calculate the greatest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-6)*(-3)\/(-1). Suppose -38 = -5*p + 2*t, -10*t + 2 = p - 9*t. Let c = f - p. Solve 4*r + 3*y = y + c, 3*r - y = -1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/i**0)\/i))**43*i\/(i*i\/((i*i**(-1\/3)*i)\/i)*i)*(i\/(i\/(i**(1\/4)\/i)))\/i assuming i is positive.\nAnswer: i**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 411126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 4*t. Let q(h) = -2*h**2 + 9*h. Let p(w) = -9*g(w) - 4*q(w). Let a(j) = -2*j**2 - 1. Give a(v) - 4*p(v).\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + 1 + 7 - (-13 + 20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15561802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**(3\/23)*(d**(13\/4))**(-18\/7))**(-1\/4) assuming d is positive.\nAnswer: d**(2719\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**4 - 3*d**4 + 6 - d**4 + 2*d + 0*d**4 in the form r*d**2 + k*d + c*d**4 + f*d**3 + i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let x be 8\/(-14)*(-42)\/12. Let f be (x\/20 + 8\/20)*4. Sort f, 3, g.\nAnswer: g, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2036 = 7*c - 2381. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1278 and 2272.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (10 - 21) - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*4258.233\nAnswer: 2980.7631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145268.\nAnswer: 2, 23, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -22*(18\/(-4) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*i + 5, 4*i = 7*i + 2*r - 4. Put 0, 4, 3, i in ascending order.\nAnswer: i, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**5\/2 - 5*j**4\/4 + 5*j**3\/3 + 7*j + 8. Let n(m) be the first derivative of f(m). Factor n(i).\nAnswer: -5*i*(i + 2)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3186714489.6140262101 + 3186714489. Let a = v + 128.6140253801. Let d = -128 + a. Round d to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*i + 50, 22 = -207*u + 614*u - 203*u - 199*u - 3*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(1008).\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:06 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 85017?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*a + 23 = 120*a + 4*x, 24 = 3*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/65508 and 11\/109180.\nAnswer: 327540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 <= -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6060454 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/25 + 175\/(-125)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -9. Suppose 0 = f*w + w + 36. Let q be ((-105)\/10)\/(w\/12). Solve -i - 2*i = -5*r - 25, 3*r = -4*i + q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (1 - 0)) + -18 + 6 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110137 is divided by 822?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**15\/s)*s\/(s\/(s**(-1\/13)*s)))\/(s**(-11)*s\/(s*s**(5\/7)\/s)) assuming s is positive.\nAnswer: s**(-124\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-41))**(-1\/4))**41)**35)**(1\/2) assuming m is positive.\nAnswer: m**(-30135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/((-6)\/3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1087, -4306, -9671, -17182, -26839?\n\"Answer: -1073*d**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - ((-2)\/(-4) + (-426)\/(-36)). Is -8 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000344144 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119656000 rounded to the nearest one hundred thousand?\nAnswer: 119700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 11) to base 16.\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67356, 134712, 202068, 269424?\nAnswer: 336780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**4 + i**3 + 207*i**2 - 155*i - 427625?\nAnswer: -8*i**3 + 3*i**2 + 414*i - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5708 at most as big as -233995\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47469?\nAnswer: 3, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606294238?\nAnswer: 2, 11, 43, 409, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 + -128.9. What is the closest to -5 in 4, -0.8, w?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -427 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44652 and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.99206 - -23. Round t to 4 dps.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1532366 or 1532451?\nAnswer: 1532451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*s - 25 = 2, -2*w = s - 25. Let k be 21\/(-49) - 232\/w. Let a = -17 - k. Does 2\/3 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*y = -1564131 - 296404 + 17134. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 - 7 = 0. What are the prime factors of (-1)\/((-174)\/57 - k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -153*b**2 + 2*b + 3127*b**2 - 2*b + 1416*b**2. Let r(j) = j**2. Give u(r(y)).\nAnswer: 4390*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -177, -465, -753?\n\"Answer: -288*u + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -765 - -11589. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2652*z + 321226. Give w(-121).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/(48\/18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2)*-5*1. Suppose -2*g = -g - a. Suppose -g*b + 2*r = -33, 5*b + 2*r = 6 + 31. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/4 and 10\/(-15)*(-6)\/(-264)*3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 18 - (-263 - -253)) + 20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d + 4*t + 20 = 48*d, 4*t = -5*d - 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 2. Calculate v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -27. Suppose -p*b = -5*k - 1425, 4*b + 2*k - 1020 = 126. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 3*w - 2*w - 1 + 1 - 2*w + (3 + 1 - 2)*(3 + 2*w - 3) + 2*w - 4*w - w - 4*w + 2*w + 0*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-22)\/(-3)) + (-2)\/(-6). Let w be 11601 - (2\/(-2))\/(3 + k). What is w rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 - 18*k**2 + 7*k**2 - 56*k**2.\nAnswer: -86*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27086, -27079, -27068, -27053?\nAnswer: -27034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -204 (b) 479\/2 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 7*s**2 + 8*s - 1\/3*s**3 - 5. List the prime factors of h(13).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssissffssssfssss. What is prob of picking 1 i and 2 s?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3\/4 (c) -0.2 (d) -5 (e) 5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2730*o**2 + 43676*o - 68. Determine x(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 1001001010111001001111000?\nAnswer: 1001001010111001001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/16206 and 9\/4?\nAnswer: 32412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:17 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0837695 years in centuries?\nAnswer: 0.000837695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 8*s - 8. Let j be 11 - (11 + 4)\/5. Calculate the remainder when w(j) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + a**2 + 316*a**3 - 6*a - 627*a**3 + 314*a**3 to g*a + r + c*a**2 + n*a**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -6600 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -18630?\nAnswer: -18629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f5 - 4d?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358604 is divided by 89.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 14 = -4*g. Let v(r) = 3*r**2 - 4*r**2 + 9 - 4 + g*r. Let h be v(6). Solve h = 3*m + 2, -1 = 5*u - 2*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) - (-14)\/6. Suppose u + 7 = 9. Suppose l + 4 = u*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/9)\/(2\/309) - -3. Let t = -789 - x. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + c - 35, -3*g + 49 = g + 5*c. Sort g, -0.1, -4 in descending order.\nAnswer: g, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 6 + (-2 - -75))\/2. Suppose 0 = -4*d - 3*o + 2*o + 68, 2*d = -2*o + m. What is the highest common factor of 1008 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128, -241, -346, -437, -508, -553, -566?\n\"Answer: v**3 - 2*v**2 - 114*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000216002 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4, 509, 1 in decreasing order.\nAnswer: 509, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*v - 1, 3*l - l + 8 = 4*v. Let i(w) = -2*w**2 + 6*w. Let u(a) = a - 1. Let z(c) = v*i(c) - 4*u(c). Factor z(y).\nAnswer: -2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5021.48 rounded to the nearest ten?\nAnswer: -5020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111100010100111 + -100?\nAnswer: 110111100010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*o + 2*o, -3*i = -5*o + 3. Suppose -50 = 3*a - 0*t - t, 0 = -i*a + t - 68. Is (7 + -4)*(-3)\/a*12014 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*z**5 + 167715*z**3 + 25*z**2 - 25*z - 1808.\nAnswer: 9600*z**2 + 1006290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 - -162. Suppose -11 = -h - 2*c, -4*c + 18 = 4*h - x. Does 33 divide h\/(-6)*-154*24\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.52 + 12.82. Let a = h - 17.4. Let x = 6 + a. Is -9\/4 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3300) - (sqrt(3300) + sqrt(3300)*-4))*-4)\/((2*sqrt(891)*2 + sqrt(891) - sqrt(891))*3).\nAnswer: -200*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2046 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3500 and 177500?\nAnswer: 1242500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*c + 0)*(37 - 1 + 3)*(-2 + 2 - c**3).\nAnswer: -156*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 100*i. Let o(z) = 33*z. Give -5*n(x) + 14*o(x).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 1566565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10944\/950)\/(-48)*5\/(-4)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 215 + 48*v**2 + 26*v**2 - 215 in the form b*v + u*v**2 + m and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*y - 14. Suppose 4*h = 3*h - y*h. Suppose h = 4*g + 3*g - 231. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {m: 1, d: 3, f: 10, y: 1, a: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -414 - 361. Calculate the greatest common factor of t and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-28304.\nAnswer: 566080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -42 = -1.57019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i - 5. Let z(j) = j + 1. Let h(o) = t(o) + 5*z(o). Let r(y) be the first derivative of -1\/3*y**3 - 2 + 0*y + 0*y**2. What is r(h(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1773*a**4*d**2*m - 17532*a**4*d*m - 5*a**2*d**2*m - 9*a**2*d*m - 101349*a**2*d - 2*d**2*m wrt a.\nAnswer: 42552*a*d**2*m - 420768*a*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + 0.04.\nAnswer: -113.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 - (4 - -1)) + -45 + 5 + 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 26*z + 33. Suppose 0 = -c - 2*c. Let l(a) = -a**3 + a**2 - a - 10. Let r be l(c). Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6766791.\nAnswer: 3, 61, 103, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 422. Let o(s) = 2*s. Calculate o(b(n)).\nAnswer: 4*n - 844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**3 - 7*t**3 - 445 + 0*t**3 + 14*t**3 to v*t**2 + n*t + y + r*t**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = 3*f + 30, -50 = 5*f + x. Let q(h) = h**3 + 9*h**2 - 13*h - 12. Let y be q(f). Let z = 22 - y. Solve 0*b + z = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(32\/5)*w**(-1\/11) assuming w is positive.\nAnswer: w**(347\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 29. Suppose 0 = 2*a + o*a + 203. Let i = a + 64. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -321\/256 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -20. Factor -8*o**j - 77\/4*o**3 - o + 0 - 49\/4*o**4.\nAnswer: -o*(o + 1)*(7*o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(102) - (sqrt(102) + (sqrt(102) - (sqrt(102)*1 + sqrt(102))))))\/(3*sqrt(6)*1))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1882423*i - 312 = 1882267*i. Let s be 6\/16*-2*-8. Suppose 3*d = -m + 6, 3*d + 0*d + 2*m - s = 0. Solve i*v + d = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 17) - (1 - 4 - (66 - 12)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-204)\/(-126) - 8\/28. Which is the closest to -2? (a) w (b) 2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 1. Let t(a) = 7*a. Let b(c) = c + 1. Let f(w) = -2*b(w) + t(w). Let p(r) = f(r) + 6*n(r). Suppose 0 = -33*k + 16 + 50. Determine p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**2 - 2136*y + 16949. Determine p(8).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 + -42?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -40 - -59) + -9 - -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810735 is divided by 99?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 54*x**2 - 35*x + 74. Let p(l) = 4*l**3 + 161*l**2 + 105*l - 226. Let c(z) = -11*d(z) - 4*p(z). Factor c(y).\nAnswer: -5*(y - 1)*(y + 2)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 2\/17 (c) -3\/13 (d) -4\/5 (e) 0.05236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 892 (c) -0.5 (d) -2\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6874 and ((-412)\/30)\/((-2968)\/(-1113)).\nAnswer: 68740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 484, 975, 1466, 1957, 2448, 2939?\n\"Answer: 491*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -531 - -555. Calculate the smallest common multiple of q and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9328 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 2 m when four letters picked without replacement from mnmdwndmnnmnnnmd?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 20. Calculate w(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1\/1113819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -372 (c) 4\/5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - (-1)\/((-267)\/33 - -8). Sort w, 1.7, -0.22, 2\/3.\nAnswer: -0.22, 2\/3, 1.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.4479607\nAnswer: -0.17918428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-306)\/(-17) - 595\/(-33)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 150\/45*(-3)\/(-5). Suppose -4 = t*r, -2*o + 6*o + r + 26 = 0. Are o and 31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 16 = -0. Suppose 0 = -h*t + 51 + 429. Let j = t - 20. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471554?\nAnswer: 2, 137, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5640 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/15 and -89\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81545)\/15*3\/(-20). Let w = 815 - p. Let k = 1\/5 + w. Which is the second smallest value? (a) -0.3 (b) k (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*k + 420057 + 116842, -5*p - 671080 = -5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 557 - 539.5. Let u = 18 - b. What is the third smallest value in -0.04, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496.7*-2\nAnswer: -993.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9950, -9949, -9948, -9947, -9946?\n\"Answer: c - 9951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -284 + 282. Sort 3\/2, a, 1.\nAnswer: a, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - g + 1 + (3 - 5 + 1)*(-7*g + 16*g + 3*g) + (-2*g - 2 + 2)*(-2 + 1 + 2).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 10*u + 21. Let j be s(-4). Is 14 a factor of 38\/57 + (-124)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4227836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f + 46 = 0. Calculate the remainder when f is divided by 4 - 63\/(-14)*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/29)\/u**(-19) assuming u is positive.\nAnswer: u**(552\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (-2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0375 * 0.09\nAnswer: 0.003375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -627*w**3 - 31564 + 31564 + (w - 6*w + 2*w)*(-2*w**2 + 2*w - 2*w).\nAnswer: -621*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - 3\/6. Let h be (0 + -3)*(-688)\/(-24). Let z = 254\/3 + h. Which is greater: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.102592, -2\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 36, 41, 46?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 6:29 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001285 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*x = 25, -d + 6*x = x + 25. Let r(v) = -v + 7. Let l be r(d). Let g(q) = -q**2 + 7*q. Let b be g(l). Solve y + 3 = -b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n + 8. Suppose 2*a - 4*s = -16, -a - 5*s = -s + 2. Let f(r) = r - 1. Calculate a*f(x) - t(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*t + 13*t + 4*t - 41 - 62*t wrt t?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 62 (b) -2\/7 (c) 1.4613\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 30*y - 10*y. Let i be (-55)\/(-15) + y\/(-18). Solve -i*c + 0*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44605 is divided by 22298.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-727514)\/(-106784)*-2. Let b be 1*(-9)\/(-10011)*-1. Let u = s - b. Calculate the common denominator of u and 71\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-836253)\/(-30)*5\/(-1080)*1. Let b = o - -2347\/18. Let r = -5873\/222 + 208\/37. Find the common denominator of r and b.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 13 = -2*v. Let h(t) = 6348*t**3 + 26 - 6350*t**3 + 0*t**2 - 5*t**2. Is h(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.05 + 1.95. Let k = 1 + -1.3. Which is the smallest value? (a) p (b) k (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*w - 4691 = -3708 - 4319 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**2*v**2 + 41*n**2*v*z - 110*n*v**3 - 2*n + 18610*v**3*z - 2*v**3 + 7*v wrt z.\nAnswer: 41*n**2*v + 18610*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 - 6*j - 3. Let s(f) = -6*f**2 - 7*f - 3. Let t(k) = -4*b(k) + 3*s(k). Let i be t(-2). Suppose 12*m - 3 - i + 5 - 9*m**2 = 0. What is m?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15538282*a**3 + 45811*a**2 - 49*a wrt a?\nAnswer: -93229692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. Sort t, -1, 2, -25 in increasing order.\nAnswer: -25, -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w + w**3 - 46*w + 91*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*k = -20, -5*a = -3*k - 35 + 15. Which is greater: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 331?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41370272 divided by 958?\nAnswer: 43184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 5, w: 1, i: 2}. Give prob of sequence ij.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/12*(-16)\/(-14) - 254\/(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 28281771\nAnswer: 113127084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -41*d + 1. Let s be g(1). Let n = s - -41. Suppose -2*a - n = -9. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2 (c) 0.102 (d) 0.5 (e) -6 (f) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 - 29*f**2 + 3*f**2 in the form l*f + o + c*f**2 and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - g**2)*(g**3 - g**3 - 2*g**3) + (10*g**2 + 25*g**2 + 134*g - 36*g**2)*(44 - 9*g**3 - 44).\nAnswer: 11*g**5 - 1206*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231036005 and 535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-10 - 7)) + -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13780 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 86*c + 3. Let u be a(-18). Let k be (-2)\/5 + (u\/(-175) - 8). Does k = -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(3 + (2 + sqrt(99))**2) + 4 + (sqrt(176)*-2 + sqrt(176))**2 + sqrt(176) + 2)*2.\nAnswer: -5696 - 512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 220 = -17*f. What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -532 divided by 3080\nAnswer: -19\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**8\/448 + r**7\/420 - r**6\/80 - r**5\/60 + r**4\/32 + r**3\/12 - 9*r**2. Find x, given that h(x) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4 + 5*a**3 - 8*a**2 + 4*a = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4805 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:24 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 217\/(-21))*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-12) + 30\/(-8). Are k and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 + -108. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*c = 752, -564 = -3*y - 0*y - 5*c. Let u = y - 350. Which is smaller: -160 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*3\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*y**3 - 3*y**3 + 2*y**4 + (-8*y**3 + 7*y**3 + 6*y**3)*(-221 - 55*y + 221).\nAnswer: -273*y**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. Let p = 12 - d. Let c be 5\/(p\/6) + 0. Solve -b = -c*n - 4, 6*n - 3*n + 5 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -508 - -522. Solve 2*h = -3*j + 16, -j = 3*h - s - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.062 + -2.078. Let p = 97.14 + n. Let x = 95.00000057 - p. What is x rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19745 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: Suppose -5 = z - 3*b, 32*z - 6 = 36*z - 5*b. Let t be 261\/(-145) + z\/((-1)\/(-3)). Solve -1176\/5 + 168\/5*a - t*a**2 = 0 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58624 and 411284?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.204997 rounded to three decimal places?\nAnswer: -1.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -25. Let b = -1 + 3. Suppose 4*g + 15 = -b*a + s, -5*a + 14 = 3*g. Calculate the highest common divisor of 26 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 15*b + 21. Calculate z(-17).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 837545659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 m when three letters picked without replacement from mqmmq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-20)*1*5. Let w be 42\/3 + l + -2. What are the prime factors of ((-12)\/w)\/(3\/(-15))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -1, 14.\nAnswer: -8, -1, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 234550?\nAnswer: 234550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 717 + -716.7. Which is the second smallest value? (a) -4 (b) 0.8 (c) 30 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-20 - -4) + -28 + 22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 - 13*v + 58. Let o(p) = 5*p**2 - 6*p + 28. Determine 3*j(c) - 7*o(c).\nAnswer: -5*c**2 + 3*c - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170041240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (12 - 14 - 6 - 23).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 302, 7\/4, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -2.1, 3\/4, 1\/2, 1.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49069 + 81847. Suppose u + 96 = 6*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 15*w**2 + 26*w. Let o(x) = 5*x**2 + 9*x. Give -2*f(s) + 7*o(s).\nAnswer: 5*s**2 + 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5433\/2068 + 117\/44. Let z = u + -339\/1786. Is z bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 + 24 = 0. Calculate the remainder when 60 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.314132 kilograms?\nAnswer: 7314132000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 2. Let x be d(-3). Let p = -0.7 + 1.7. Which is the nearest to p? (a) 1\/5 (b) x (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5799 + -5800. Which is the smallest value? (a) v (b) -3 (c) -685\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13067.84 rounded to the nearest one hundred?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3171518.286 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2076*f - 2035*f - 472 + 21 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 12*d**2 - 43*d - 61. Let b be a(20). Calculate the greatest common factor of 53 and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -34) + -7 + 41 + -1\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 7579 + 12892 - 8386.\nAnswer: 4*r - 3073","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/4736?\nAnswer: -1\/4736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69992987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z**2 - 20*z - 18. Give m(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 73016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w + 4*w**3 + 2*w**3 + 157*w - 42*w - 51*w - 24*w.\nAnswer: 6*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2489, 10294, 23345, 41642, 65185, 93974, 128009?\nAnswer: 167290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 2*g + 2. Let u(i) = 257*i**3 + 5*i**2 + 12*i + 5. Let t(l) = -6*m(l) + u(l). What is the third derivative of t(p) wrt p?\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:51 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/840 and -227\/4620.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovx. Give prob of sequence vx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3190016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away -3.194?\nAnswer: 3.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*a + 17*a - 35*a = -358*a + 15438 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1 + 3*c)*(c + c**2 - c) + (-18*c**2 + 18*c**2 + 3*c**3)*(1 - 56 + 7) to f + w*c**2 + h*c**3 + x*c and give h.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*j - 358 + 36. Which is bigger: 4\/399 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92742 divided by 6\nAnswer: -15457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + ((sqrt(891) + 3*sqrt(891) + sqrt(891))*3 + 3*(-1 + sqrt(176) + sqrt(176)))**2*3).\nAnswer: -11448*sqrt(11) + 3337192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-6)\/15)\/(-1))\/((-1)\/35). Let q be (-40)\/(-70) + 78\/h. Let x = -2.94 - 0.06. What is the third biggest value in q, x, -4\/15, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2352\/120 - (-48)\/(-30). Let m(i) = i**2 - 19*i + 12. What is m(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*1*5 - sqrt(1900)) + -1 + 1 + (sqrt(1900) + sqrt(1900)*-2)*-4)**2 + 5 + 3.\nAnswer: 121608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -572, 0.3, 1\/96 in ascending order.\nAnswer: -572, 1\/96, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + 41.507. Let q = 74 + -32. Let b = x - q. What is b rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**3 - 27*s**2 - 34*s - 8.\nAnswer: (s - 4)*(3*s + 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10\/(a\/(a*a**(9\/2))) assuming a is positive.\nAnswer: a**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (32 + -23 + 30 + 11)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z**2 + 223*z**2 - 1 + 2.\nAnswer: 280*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12) - (-95)\/30. Suppose g*x - 41 = 43. What is the remainder when 111 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-90)*(-20)\/(-16)*-3\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*t**3 + 23*a*t - 348*a - 6*t**3 + 1139*t**2 + 1 wrt t.\nAnswer: -12*a*t - 36*t + 2278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**3 - 2*b**2 - 686*b + 438*b + 6*b**2 wrt b.\nAnswer: -60*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 17*h**2 + 90*h**2)*(-724*h**2 + 354*h**2 + 352*h**2).\nAnswer: -1980*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 140808896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1009454*p + 110346 with respect to p.\nAnswer: -1009454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:09 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, w: 2}. What is prob of picking 1 w and 1 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121200120 - 201110112?\nAnswer: -2202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))**(-10)*(r*r**(-1\/2)\/r)\/(r*r*r**(2\/9)))\/(r**(2\/25)*r*((r**(-1\/5)\/r)\/r)\/r*r*r*r**(-3\/4)*r*r**(-2\/21)) assuming r is positive.\nAnswer: r**(-143369\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 3, -75\/4, 1, 998\/15, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 - 11?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45096, 53806, 62516, 71226?\nAnswer: 79936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.61 + 0.6. Let h = z - 1.99. Let i = 2.5 + h. Which is the third biggest value? (a) i (b) 4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32333437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -20631433?\nAnswer: 4\/20631433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 20. Suppose 0*c - 208 = -i*c. Suppose 4*s - 32 = -2*r, -r - 3*r = -s + c. What is the remainder when 28 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175)\/(-1*sqrt(5)))\/(sqrt(70)\/sqrt(10)*-1) + -4 + 0.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20*d + 15*d + 440, 0 = 2*p + 4. Solve -4*r = -102 + d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -21. Let c be (-2)\/(3\/m*3). Which is greater: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-22)\/j)**8*(j*j*j**(1\/7)\/j)**(-7))**(-1\/52) assuming j is positive.\nAnswer: j**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 17903.\nAnswer: 3\/17903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 + 10*j - 18*j - j**3 - 3*j.\nAnswer: -j**3 - 11*j + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -404*f + 14 + 0 - 14 as r + t*f and give t.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 303, 0 in decreasing order.\nAnswer: 303, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 55 = -40*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(g + g + g) + 29 - 70 - 7*g + g + (-1 - 4 + 3)*(2*g - 5 + 5) + 2*g - 4*g + 3*g.\nAnswer: -15*g - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(152) - (sqrt(152) - (sqrt(152) + -4*sqrt(152)*-1))) + sqrt(152))\/(sqrt(8) + sqrt(128)*-2).\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1\/9 (c) -4 (d) -0.8 (e) 20 (f) 6\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b + 17. Let n be w(-4). Is 375\/(-6)*-4 - n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12206639, 12206636, 12206633?\n\"Answer: -3*j + 12206642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 4*m + f, 12 = -m - 3*f + f. Let j = -13 - m. Suppose -3*t + 81 = -3*q, -2*t - 3*q - j + 67 = 0. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -68, -514, -1728, -4094, -7996, -13818?\n\"Answer: -64*p**3 + 2*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -5\/6*p**4 + 0*p + 1\/6*p**3 + 0 - 18*p**2. Let h be m(-1). What is the greatest common factor of h and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/40 and 22\/5605795.\nAnswer: 44846360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hujujc. What is prob of picking 1 h and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1045281153756 and 119.\nAnswer: -1045281153637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 10*t**2 + 9*t**2 + 8*t**2 + 3*t**4 + 1 - 30*t**2 to the form x*t + y*t**2 + f*t**4 + d + q*t**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3711 and 661326177?\nAnswer: 3711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 13 = -4*x + 3*x, -4*x - 4*o + 12 = 0. Let c be (3\/(-24))\/((-5)\/20*1). What is the closest to -0.1 in x, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6032 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - 2*p**2 - 4*p**3 - 2*p**4 - 4*p + 3*p + 4 to the form r*p**4 + b*p**3 + h*p + g*p**2 + o and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/10 - 3\/6 - 1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 8 - 12 - 2*g**2)*((1 + 2 - 1)*(0 + 0 + 1) - 1 - 2 + 2).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*t - 178*t - 4 - 2.\nAnswer: 3*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/8)\/5*(-84)\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -28, -45, -64, -85, -108?\n\"Answer: -l**2 - 12*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4105*y + 7766. Calculate d(-2).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*b + 66. Let y(d) be the first derivative of -b*d**2 + 3\/2*d**4 + 2 + 8\/3*d**3 - 4*d. Factor y(q).\nAnswer: 2*(q - 1)*(q + 2)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 62. Let v be q(16). Factor -3*m - 2*m**v + m**2 + 9*m**3 - m**2 - 4*m**2.\nAnswer: 3*m*(m - 1)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9389198 or -9389203?\nAnswer: -9389203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - -27. Suppose -161 = -f + 4*h + v, 0 = -3*f + 4*h + 749. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.16 - -0.40178.\nAnswer: 15.56178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 2:34 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - (-17)\/4. Let o = 38 + -26. Solve y*j - o = -0*j, 3*t - 5*j = -27 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or 2\/7?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89552 and 80968?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + 3 + (3 - -42).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3679 = 5*u + 757, -3*u + z + 1758 = 0. Suppose 5*q - 585 = -s - 20, q = -s + u. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015669241 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 220, -3 in descending order.\nAnswer: 220, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97447?\nAnswer: 7, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 459968 and 0.1.\nAnswer: 45996.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4893 - -3?\nAnswer: 4896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 5*i**2 - 3*i + 3. Give z(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b4 + -4?\nAnswer: 2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -261205620 divided by -5?\nAnswer: 52241124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 71419, -3, 2 in decreasing order.\nAnswer: 71419, 13, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749, 758, 779, 818, 881, 974, 1103?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 700401421 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2736))*4 + 2 + 3)**2 - ((sqrt(1900) + 1 + (sqrt(1900)*1 - sqrt(1900)) + 1)*4)**2.\nAnswer: -160*sqrt(19) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 12. Let k(n) = 17*n + 3. Let f be k(1). Let i = f - t. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = 3*o, -o + 0*o = 2*c - 8. Suppose 2*y + 3 - 7 = o. Suppose 12*h - 32*h + 400 = 0. Solve s - 3*r = 3*s - h, -4*s + 24 = y*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -4 (c) -0.4 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2187508180?\nAnswer: 2, 5, 11, 13, 31, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 544705 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15380418 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 1.43?\nAnswer: -0.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 + 2*z**2 + z - 6. Let r(j) = j**3 + j**2 - j - 1. Calculate -d(a) + 2*r(a).\nAnswer: -a**3 - 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(56)\/sqrt(8))**2 - (sqrt(175) + 2).\nAnswer: -5*sqrt(7) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24034 + -14396360\/599. Let i = -258738\/2995 - c. Let s = i - -86. Does -1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5650 (b) 686 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - (9 + -14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.719087 to 1 dp.\nAnswer: -44.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**12)\/d*d*d*d\/(d*(d*d*d\/((d\/d**(-2\/19))\/d)*d)\/d) assuming d is positive.\nAnswer: d**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5 = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/36*60\/21\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) 0 (d) -5.7 (e) 79 (f) -3 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + 5 + sqrt(57)\/sqrt(3)).\nAnswer: 10 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1817, 2439, 3111, 3827, 4581, 5367, 6179?\nAnswer: 7011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 75\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9232797*o**4 - o**2 - 2637704*o wrt o?\nAnswer: 110793564*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7*q + 1 = -4*q, -3*v - 2*q + 7 = 0. Let t be (3 - 3)*v\/(-2). Suppose 5*i + 5 = t, y - 3*i = -y + 7. Solve -3*c + 25 = y*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81030, -139271, -197514, -255759, -314006?\n\"Answer: -c**2 - 58238*c - 22791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/165 + 129\/45. Suppose 0 = -f - l + 2, -f = -2*f - o*l + 2. Let w = -1.3 - -0.3. What is the second biggest value in -13, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by 53\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -16*g - 16*g + 30520. Calculate the greatest common factor of g and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 675 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/56631 - -113236\/736203. Which is the fourth biggest value? (a) s (b) 2 (c) -27 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + 69d41?\nAnswer: 69cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8499 and 86\/21?\nAnswer: 59493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.83 - -0.83. Let p = -1 + 9. Let x = p - 3. Which is the nearest to 2? (a) x (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-135)\/27*(-18)\/15. Let r(h) be the third derivative of 7*h**4\/24 + h**3\/3 + h**2. Let f be r(4). Calculate the highest common divisor of f and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - n + 16 - 3*n + n. Let a be y(12). Find the second derivative of -12*p**4 - 3*p**5 + 12*p**4 + a*p wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1.3 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1812, -7041, -15750, -27933, -43584, -62697?\nAnswer: -85266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -819, -2763, -6545, -12777, -22071?\nAnswer: -35039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -208802 - -19?\nAnswer: -2087a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -290.02334 to 2 dps.\nAnswer: -290.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.8. Let d be 7 + -5 + (2\/8 - 3). What is the biggest value in i, d, -15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 25, 54, 93, 142?\n\"Answer: 5*m**2 + 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Suppose x*b + 0*b + 4 = 0. Let c(t) = 2*t - 2*t - t. Let l(f) = 2. Calculate b*c(v) - l(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197.8 - -198. Which is the smallest value? (a) n (b) 3.4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o - 18. Let y = -52 - -53.132. Let h = y - 0.132. Which is the nearest to 0? (a) h (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48921.20263 to the nearest 10.\nAnswer: -48920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2116 + -2018. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -120*t**4 + 18*t**3 - 9*t**2 + 30. Let r(v) = 2*v**3 - v**2 - 1. Let q(j) = -a(j) + 9*r(j). Find the first derivative of q(f) wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.014 + 0.014. What is the nearest to -0.1 in -1\/2, -4, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {h: 3, x: 3, y: 3, m: 10}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - (2 + -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 33*o - 7068. Calculate the greatest common factor of o and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.3 (c) -1 (d) 5 (e) 3\/5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12760000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/((((k*k**(9\/8)\/k*k)\/k)\/k*k)\/k)))\/(k**8*k))**29 assuming k is positive.\nAnswer: k**(-1827\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/(-3)*6\/(-4). Let l = 50 - m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**23*j*j**(2\/79)*j*j)**(1\/64) assuming j is positive.\nAnswer: j**(257\/632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + -8933b8?\nAnswer: -8933a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28565 + -9744. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/44)\/(24\/(-48)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = 4*l + 2201, 3*k = -2*l - 1319. Let o = -310 - k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1553 is divided by 327?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212706661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10875 = 479*i - 104*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26969 or 134851\/5?\nAnswer: 134851\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 412 - 431.1. Let o = g + 18.4. Let c = 3\/4 - 5\/12. Is o <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.1 (b) 0 (c) -2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-30))\/(1*4\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168825229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1890 and -97\/108.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114\/11? (a) -0.1283 (b) 2\/13 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 4*u**2 - 6*u + 8. Let j be r(5). Let x(z) = 2*z**j + 4*z - z**3 + 18*z**2 - 6 - 12*z**2 + z. Give x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21472.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 11:13 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*s = 373*s + 828246. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3427*n + 1507. Let s(w) = 13695*w + 6042. Let g(a) = -22*m(a) + 6*s(a). What is the derivative of g(l) wrt l?\nAnswer: 6776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260 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: Find the common denominator of -53\/22280 and 5\/162272.\nAnswer: 451927520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -887\/146545?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/12)*p*p**(2\/11)\/p)\/(p**(-1\/12))**(11\/4) assuming p is positive.\nAnswer: p**(437\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f - 847 = -15*f. Let i = f + 77. What is the biggest value in -2\/5, i, -2, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -778.9 + 779. Which is the fourth biggest value? (a) -1 (b) f (c) -2\/11 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851832 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:03 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567 is divided by 507.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403, -419, -481, -613, -839, -1183?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322502 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-3)*(-8 + 2). Suppose -180 = -h*w - 20*w. Calculate the highest common divisor of 39 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**3 + 155*u**2 - 870*u + 171. Calculate o(32).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -11\/2*g**2 - 1 + 0*g - 1\/3*g**3. Find the second derivative of n(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102 - 10*a**3 - 102 + (-3*a**2 + 0*a**2 + 2*a**2)*(3*a + 0*a - 2*a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 41622 divided by 5946\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7498591313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 6) to base 7\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u - 123 = -34*u. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 2. Let k be c(6). Suppose -52 = -k*q + 4*t, -4*q + 86 = -t + 28. Solve 0 = 2*v + 5 - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, t: 2, l: 7}. Give prob of picking 1 p and 1 l.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00767 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8367487, 8367498, 8367509, 8367520?\n\"Answer: 11*w + 8367476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3*r - o**3 - 1335*o*r**3 - 3610*o wrt r.\nAnswer: -o**3 - 4005*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -51\/7?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*p**2*r**6 + 1791*p**2*r**2 - 2*r**6 wrt r.\nAnswer: 27720*p**2*r**3 - 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.12, 0, 2\/7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1332 - 1317. Solve -3*w + 14 = b, -4*b + 5*w + p = 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 22. Let p(x) = -x**2 - 8*x - 11. Let l be p(-6). Calculate the greatest common factor of l and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5664 = -5*a - 1099. Suppose -l = 5, 2*u - l - a = -62. Calculate the greatest common divisor of 47 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -29\/23, 40, 2\/7, 3, -2, 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1574, -2, -4 in ascending order.\nAnswer: -1574, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdiwiiiwhhhdiiihd. Give prob of picking 1 w and 3 h.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 341642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911212693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-13)\/(-78)*31\/((-620)\/(-540))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16179, 16044, 15909, 15774, 15639?\n\"Answer: -135*o + 16314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 - 141.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 44 = 2*x. Suppose s = -5*h - 1, -s + 0*h = h - x. What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(150)\/sqrt(3) + (-1 + sqrt(50))**2 + 0 + sqrt(250)\/((sqrt(60) + sqrt(540) + sqrt(60))\/sqrt(12)).\nAnswer: -4*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -c + 5*r, -c - 24 = 5*r - 0*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.16006s to nanoseconds.\nAnswer: 95160060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 bigger than -1435102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 38 - 354 = 0. Solve -17*z + a + 29 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -2)\/((-75)\/5). Sort 0.1, 2\/7, c in increasing order.\nAnswer: c, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4920 divided by 41.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/3138 and 9\/6799.\nAnswer: 40794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from ollkttpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(384)*-2)\/sqrt(8).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232862701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 6*r**2 + 11*r + 6. Let b be u(8). Let j = b - -37. Solve 3*k + j = 3*c, 2*k = 5*k - 5*c - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) - (-2*sqrt(85) + sqrt(85))*-6))\/(sqrt(5) + sqrt(270)\/sqrt(6) + sqrt(5)) + 2 + 4)*6.\nAnswer: -24*sqrt(17)\/5 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 33*m**2 + 37*m - 89. Calculate j(34).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 10*o - 20 = 0. Let l = 1 + -2. What is the nearest to l in 0.2, 2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5578624 is divided by 7350?\nAnswer: 7324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 1. Let o(d) = -143*d**2 - 18*d + 6. What is o(u) + 4*t(u)?\nAnswer: -143*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 15\/(-6)*746064\/(-785).\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 991*z - 6*z**2 + 2*z**3 + 2*z**2 - 987*z - 3*z**3 as l*z**2 + v*z + o + s*z**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -115 + 28*d + 26*d - 68*d. What is the least common multiple of p(-9) and 38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13cd (base 16) to base 13\nAnswer: -23cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 - 0) - (34 + -39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007604624.\nAnswer: 2, 3, 13, 53, 30467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let p = 0 - -2. Suppose -3*g - k - 27 + 1 = 0, p*k - 18 = 4*g. Let t(r) = -68 + 132 - 64 + 2*r + 0*r. What is g*c(j) + 4*t(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + (-46 - (-69 - -15))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101698.\nAnswer: 2, 50849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - 5*k**2 - 22*k + 20*k + 2 + 4*k**2. Let f be z(2). What are the prime factors of (8 - f) + -3 + 122 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3224 = -4*d, 3*y - 4*y = 5*d + 4024. Let h = 92 + -84. List the prime factors of (2\/h)\/((-3)\/d).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 39 = -5*r, 4 = 3*r + 5*b + 3. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/695 or 15?\nAnswer: 9\/695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/30 - (-1 + 2) and -8\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 10*f**3 + 1 - 1407*f**2 + 2*f**4 + 9*f**3 + 1407*f**2 in the form o*f**4 + l*f + b + g*f**3 + y*f**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 0. Suppose -5*f + 5 = -5*v, 4*f + 0 = 2*v + 6. Solve d*z - f = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Let a(k) = -5*k - 10. Let z(y) = a(y) - 6*r(y). Let h be z(6). Solve -3*u = h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from aalwl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*k + 165*k - 26634 = 27*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = 2*f + 3*b, -b - 2 = -2*f. Let m(q) = q**f - 2*q + 2*q**2 + 3*q**2 - 2*q**2 - 4. What are the prime factors of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1715 - 3*z**2 + 7*z**4 - 858 - 3*z**3 + 5*z**2 - 856 - 46*z**4 to the form f + m*z**3 + a*z**4 + d*z**2 + g*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavavvv. What is prob of picking 4 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1)**(-1\/3)\/((s**(-2\/25)*s)\/s**(-9\/2)))**(-43))**(-7) assuming s is positive.\nAnswer: s**(-259763\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 50*v + 3 = 41*v, 4 = -5*v + 1 - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -h - 4*h + 4*i, 0 = 4*i + 12. Solve -3*l + 5*c = -7, -h*c - 8 + 1 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3911\/561 or -1\/4?\nAnswer: 3911\/561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155280.7 minutes to microseconds.\nAnswer: 9316842000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 109. Find the third derivative of 117*d + 21*d**6 - k*d - 23*d**2 wrt d.\nAnswer: 2520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18348*o**3*r + 70305*o**3 - 2*o**2 - o + 210*r - 1 wrt r?\nAnswer: -18348*o**3 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 239?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -564, -773, -908, -945, -860, -629, -228?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-77) - ((-36)\/22)\/9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 17*g - 59. What is h(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 5557.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a factor of 2441327932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0 (c) 14 (d) -2 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -316 and 1.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.14119 to one decimal place.\nAnswer: 60.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79040*n - 87967.\nAnswer: 79040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 1. Let v be p(-4). Suppose -v*z + 10 = 1. What is the units digit of 2 - z*(-3)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3 + 2*j**2 - j**2 + 17 - j. Suppose 0 = -42*w + 19*w. What are the prime factors of d(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109766666 to the power of 1\/3, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 3*w + 4*r + 232, 100 = 4*w + 5*r. Let z = -2 + 8. Solve w = b - z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353176854 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -412829*z**2. Let r(m) = -m. Give r(f(v)).\nAnswer: 412829*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906 not equal to 2907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 9*x**2 - 4*x - 18. Calculate y(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -44, -2, -28 in increasing order.\nAnswer: -44, -28, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4764203747100 and 0.4.\nAnswer: -4764203747099.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 93\/7 - 6\/21. Suppose 0*n - o = -n. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-29)\/u)\/u*u*(u*u*u**(-4\/5))\/u)**(-30))**(2\/25) assuming u is positive.\nAnswer: u**(1788\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305 - 186. Is 2\/14 - (-816)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513\/5814*(-16)\/(-6).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407678633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1373, 6.209, -0.1?\nAnswer: 1373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 2:37 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*o - 756, 365 + 155 = 2*p + 2*o. Suppose -2*g + 1210 = -4*w, 2*g + 4*w = p + 914. Is g a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 671500 to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53624 - -5201479\/97. Calculate the common denominator of x and 59\/2.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 3219*o + 35760. What is d(11)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnudnp. Give prob of sequence pnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let d(l) be the second derivative of 3*l**4\/4 + 2*l**3\/3 + 2*l. Let v be d(r). What is v rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k. Let z(o) = 16*o**2. Determine l(z(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 7*n + 40. Let q(f) = 3*f**2 - 11*f - 64. Let w(v) = -8*p(v) - 5*q(v). Let h = -2 + 1. Let s(o) = -o**2 + 4*o. Determine h*s(l) - 4*w(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18321*h**2*q**2 + 102693*h**2 + q**4 wrt q?\nAnswer: 36642*h**2*q + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g**2 - 10*g + 10. Let v be h(-3). Find the third derivative of 44*j**4 - 9*j**2 + 9*j**2 - 4*j**2 - 3 + 21*j**v wrt j.\nAnswer: 1560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:38 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1540*g**2 - 8*g - 8. Let b(l) = -508*l**2 + 3*l + 3. Let h(p) = -8*b(p) - 3*f(p). Let w(q) = -3*q. Determine h(w(s)).\nAnswer: -5004*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5)\/x*x**(1\/5))\/(x**(-1)*x)**(2\/13))\/((x*x*x\/x**(-2\/13)*x)\/x**(2\/5)*x**0*x**(-2\/11)) assuming x is positive.\nAnswer: x**(-2697\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 g, and 1 b when four letters picked without replacement from gtiitbbbibbiigibgbbi?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15976 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b - 1. Let c be p(-1). Let u be ((-4)\/(-7))\/(c\/(-49)). Is (134\/u)\/((-2)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**4\/7 - 38865*r**3\/7 + 2778*r**2 + 77727*r\/7 - 58302\/7 = 0.\nAnswer: -6478, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 - 2560*g**4 + 96484*g**3 + 1341040*g**2 + 1242000*g = 0.\nAnswer: -675, -10, -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 2\/7 (c) -3261 (d) 3\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 9*u + 1. Let w be x(-7). Let m = -17 - w. Let s(i) = i**2 + 7*i + 4. What is s(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = -34*b + 5*t - 905, 5*t = b - 199. What is the remainder when 1107 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyxywtr. What is prob of picking 1 t and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - a3?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 36 + 3029*s - 10 to the form v*s + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.309 + 4.491. Let i = -4.799994 + y. What is i rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210233 + -2031?\nAnswer: 202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -329 + 329.8. Sort 0.4, z, 0.3, -5 in decreasing order.\nAnswer: z, 0.4, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*d - 11*g - 55, 89*g - 94*g + 43 = 2*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-5)*(-2)\/4. Let y = -21 + 21. Let f be (0 + y)\/2 - (-12 - -9). Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 64.1.\nAnswer: -58.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*g + 57, 2*g - 9 = z + 6*g. Solve z*n = 28*n - 39 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j**2 + 2*j**2 - 4*j**2)*(-18*j**2 + 19*j**2 + j - 53 + 57) in the form c*j + g*j**3 + p*j**2 + u*j**4 + x and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 93. Let b(l) = l**3 - 6*l**2 + 8*l + 4. Let r be b(w). What are the prime factors of r - (-155 - 2) - -1?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132948996.\nAnswer: 2, 3, 197, 56239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3476664 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -927 * -31.07.\nAnswer: 28801.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 = 2. Suppose 0 = -0*b - b + 5*m - 3, 0 = -5*b + 3*m - 15. Are b and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -95*k**3 + 19*k. Let b(r) = -19*r**3 + 4*r. What is 19*b(q) - 4*v(q)?\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 8, 4, -0.8, 0.4, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(64)\/sqrt(4)))\/(2*sqrt(21)\/sqrt(3)*-2)*-6.\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-32)\/(x*x*x*x**4*x*x*x**(1\/5)\/x))**(-18\/13) assuming x is positive.\nAnswer: x**(738\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4140 = -3388*v + 3250*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {m: 1, c: 4, d: 2, n: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Let d(m) = -m**2 - 4*m - 2. Let w(s) = -s - 1. Let k(q) = -2*d(q) + 4*w(q). What is k(h(b))?\nAnswer: 2*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 402*t**2 - 26934*t - 601526.\nAnswer: -2*(t + 67)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*f - 4*f. Let a(j) = -2*j - 3. Let c(m) = -4*m + 4 - 5 + m + 2*m. Let o(r) = f*c(r) + 3*a(r). Differentiate o(k) with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4\/7 (b) 3 (c) 3\/5 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -20044782 and -20044781 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z = 14*z + 11*z + 210 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.22977l to millilitres.\nAnswer: 15229.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -199697284 divided by 4?\nAnswer: -49924321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1268000 to the nearest ten thousand.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 + -120. Let d = g - 18. Is d\/((-5)\/((-10)\/3)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 8*x**2 - 5*x + 2. Let j be m(6). Suppose 8*l = 69 + 19. What is the greatest common divisor of l and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(1\/10). Let y = 1 + -33. Let m = f - y. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274834 * 0.4\nAnswer: 109933.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 13*g**2 - 43*g - 73. Give z(-16).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 293*f - 322*f + 1160. Solve -6*z - f = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18219672 times 0.05\nAnswer: -910983.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 2*w + 3*y - 2*y + 9 = -18, -8*w = 6*y + 102 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12461 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 548 - 363. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 31. Let g = c - 10. Solve -k - 1 = g*p, -8*k = -2*p - 3*k - 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 2*r + 3. Let i be l(-5). Let m = -116 + i. Solve -15 = -m*x + 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 600, 1145, 1690, 2235?\n\"Answer: 545*h + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 0.494 (c) 0.2 (d) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6023, 1, -4 in ascending order.\nAnswer: -4, 1, 6023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 70 = m. Let a be (-1)\/3*(-1 - m). Let x be 2 + (4 - 5) - 2. Put a, -2, x in ascending order.\nAnswer: -2, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4211*l**2 + 8467*l**2 - 4214*l**2.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, -2, 32 in descending order.\nAnswer: 32, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 99 + 3*r - 2*r + 35 as j*r + u and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 95. Let q = -1501\/9 + 167. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7480039 - 1?\nAnswer: 7480038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39595931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4706*5689.\nAnswer: -26772434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a + 43a?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q*q\/(q*q\/q**(-11))*q*q)\/q*q**(-2\/31)*q*(q\/(q\/(q\/q**(-2\/19)*q)))\/q**(1\/3))**(13\/2))**(-49) assuming q is positive.\nAnswer: q**(2978612\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035 (base 6) to base 12.\nAnswer: -17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 15*g**2. Calculate k(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 1\/((165\/(-1177))\/1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 3*d + 0*d**2 - 4*d**2 - 4*d**2.\nAnswer: -4*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9401 and 3407038?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + h - 13 = 16*p, -h - 11 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39110, -156228, -351414, -624668, -975990?\n\"Answer: -39034*g**2 - 16*g - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4 - 9\/(-3))*-1. Let c(p) = 18*p + 13*p**3 - 2 - 12*p**3 - 12*p**2 - l. What are the prime factors of c(11)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*v + 32*c*y**3 - 21*c*y**2 - 5637*v*y**3 - y**3 wrt v.\nAnswer: c - 5637*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1126 (base 7) to base 12\nAnswer: -2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 24 - 3)*(-i**2 + 5 - 5).\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/2*(-16)\/20. What is the lowest common multiple of (-2 - 12\/(-9))*-33 and 37\/h + (-2)\/4?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 13. Let t be ((-2)\/30)\/(2\/w). Factor -2\/5*r - 4\/5*r**2 + t + 4\/5*r**3 + 2\/5*r**4 - 2\/5*r**5.\nAnswer: -2*(r - 1)**3*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/18*-39 - -11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24928?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.3 - -5.6. Let p = 972 - 976.53. Let m = o - p. Round m to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/((-24)\/(-80))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22368 + 45812 = -221*v - 253*v + 12722 for v.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 smaller than -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 + d + 3. Let t = -6 - -6. Let z be a(t). Suppose -63 - 63 = -z*b. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 90593?\nAnswer: 905930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 548 - 134 = -3*p, 4*l + 20 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t. Suppose 4*x + 0*x + 4*u - 4 = t, 2*u - 2 = 4*x. Suppose -12 = -23*w + 20*w. Sort x, 1, w in decreasing order.\nAnswer: w, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a - 21. Let u(w) = -5*w - 10. Let z(c) = -186*c + 1854. Let f be z(10). Calculate f*v(y) + 13*u(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -76728686018341 and -2.\nAnswer: -76728686018343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2. Suppose -2*o = -0*o + 2*c - 20, -5*c = -3*o + 6. Suppose -i + 7 - 5 = 0. Let l(h) = -2*h**2 - i*h**2 + o*h**2. Calculate j(l(s)).\nAnswer: 63*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/297 and 85\/3385008.\nAnswer: 10155024","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -185*i - 35 = -180*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 4) to base 10\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 6*r**2 + 6. Let v = 59 - 60. Let l(x) = -x**3 + x**2 + 1. Give v*k(f) + 6*l(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/7 + 3 + (-2 - -1). Let w(n) = -n**3 + 3*n**2 + 2. Let u be w(3). Solve u*s - s = -t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152668 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 2*z - 10. What is the remainder when q(8) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3357 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001162245 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/10 or -7\/3?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/3*(-3)\/(-2). Suppose 17*j - 87 - 491 = 0. Solve 4*s - k + j = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*d + 252. Suppose d + 25 = t. Does 27 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a, -3*q - 3*a = -0*a + 3. Suppose -j = -4*p - 78, -76 = -0*j - j + q*p. What is the remainder when j is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 10*g**2 + 13*g**2 + 18*g**2 - 41*g**2.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*c = 4*c + 125, -88 = -2*n - 2*c. Let k = n + -23. Calculate the highest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 7*h**2 - 10*h + 12. Let a be w(8). Let g be (a\/12)\/((-1)\/9). Solve -g*y + 9 = -6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/20 - ((-3)\/(-30))\/(19\/399)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/624 and -73\/48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*n + 57*n - 18*n**2)*(3 - n - 3)*(5 - 1 - 2) as x*n + m*n**2 + v*n**3 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 55*z - 582. Let k be t(-64). Let m(p) = p**3 + 8*p**2 + 8*p - 27. Determine m(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/23)\/z)**(2\/33)\/(z\/z**(-2\/21)*z**(-1\/24)*z) assuming z is positive.\nAnswer: z**(-29879\/14168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 6, -5.\nAnswer: -11, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 - 6*f**2 - 9*f + 3. Let y(g) = -9*g**3 + 12*g**2 + 17*g - 6. Let p(l) = -11*r(l) - 6*y(l). Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/32)\/(((-4)\/160*-45)\/((-108)\/936)).\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 16 + -12 + -7 + 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + h**2 + h - 14. Let t be y(0). Let m(b) be the first derivative of -3*b**2\/2 - 21*b + 217. Is m(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2. Let l(h) = 2*h**2 - 31*h + 22. Calculate l(z(r)).\nAnswer: 128*r**4 - 248*r**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4587481, 9174971, 13762465, 18349963?\n\"Answer: 2*t**2 + 4587484*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(684)*-1 + sqrt(684) + sqrt(684) + -1 + 5)**2 + (2*sqrt(608))\/(sqrt(16)\/(sqrt(128) - sqrt(8))).\nAnswer: 60*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4299*t + 383803. Determine w(-89).\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o**2\/5 + 117053*o\/5 + 7531139\/5.\nAnswer: (o + 14567)*(8*o + 517)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, s: 4, c: 2, i: 2, u: 1, x: 1}. Give prob of sequence ys.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from ejerjjrjjejjwqwree.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12310240 and 335454040.\nAnswer: 1341816160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(2))\/(1*sqrt(500))*1.\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11773, 11817, 11875, 11953, 12057, 12193, 12367?\n\"Answer: x**3 + x**2 + 34*x + 11737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -54. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x + x**3 + 22*x - 15*x - 2 in the form m + g*x**2 + j*x**3 + d*x and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 32278*b - 7278*b + 19945*b as w*b + j and give w.\nAnswer: 44945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1126, -1231, -1392, -1609, -1882, -2211?\n\"Answer: -28*q**2 - 21*q - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 - 4*j**2 + 3*j**2 - j. Let m be ((-597)\/18 - -33)\/(-2*(-4)\/48). Give i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4512 or 1729?\nAnswer: -4512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -42*c**3 + 4*c**2 - 4*c + 4. Let d(n) = 713*n**3 - 69*n**2 + 69*n - 69. Give 4*d(o) + 69*w(o).\nAnswer: -46*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*b**2*u - 115*b**2 - 29*b*u - 9475*b wrt b.\nAnswer: -158*u - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p**(-2\/67)*p))\/p)\/(p*p\/(((p\/(p**(-7\/2)*p*p)*p)\/p)\/p)))**(-1\/36))**(16\/3) assuming p is positive.\nAnswer: p**(662\/1809)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 16*k + 13. Let f = 342 + -328. Let h be o(f). Calculate the greatest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66761 is divided by 54.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(sqrt(75) + 0)*-3 + ((0 + sqrt(3))*1 + 0 + sqrt(108))*-2.\nAnswer: -29*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 14 = 0. Suppose 0 = 2*x - x - h. Suppose -5*c + 0*c = -20. Solve -p = -3*a + 3*p + x, c*a = 3*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 10:40 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -57*f + 39. Let m(h) = -3*h + 2. What is 117*m(x) - 6*w(x)?\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from kgkq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*z**2 - 46*z**2 - 70*z**2.\nAnswer: -211*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 78. Solve -l*z + 8*z = 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -0.1, 1\/3022?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -61*u**2. Let p(x) = 7*x + 6. Let s(i) = 14*i + 9. Let v(j) = 6*p(j) - 4*s(j). Calculate v(b(a)).\nAnswer: 854*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuvu when four letters picked without replacement from niiuinuuivnuiiiuinix?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 166 - -2323?\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -210796360 at most -210796358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620871 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -4.6. Let z = -1.4 - i. Sort 1, z, -5 in increasing order.\nAnswer: -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1759636926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 5*j**2 - 150*j - 5. Let z(p) = -2*p**2 + 75*p + 2. Calculate -2*t(k) - 5*z(k).\nAnswer: -2*k**3 - 75*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 57148270*b + 1 - 57148270*b + 10*b**3 - 1.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2) + (-6)\/(-4). Suppose 0 = -s*z + 7 + 5. Solve z*h = 3*p - 12, -h - 2 = 2*p - 5*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:04 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 56760*y**3 - 162494750*y**2 - 7986219240*y - 7823781245 = 0.\nAnswer: -5651, -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**4 - 4*n + 7*n**5 + 13*n**4 - 7*n + 8*n**3. Let f = 22 - 44. Let r(l) = -2*l**5 - 4*l**4 - 2*l**3 + 3*l. Let a(w) = f*r(w) - 6*o(w). Factor a(q).\nAnswer: 2*q**3*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/350)\/(642\/(-2996)))\/((-2)\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h - 4*h**2 - 2*h + 4*h + 60.\nAnswer: -4*(h - 5)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.2 (b) -187 (c) 0.1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*p + 4*n, -4*p + 11 = 286*n - 287*n. Sort p, 12, 49, -4, -5 in increasing order.\nAnswer: -5, -4, p, 12, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27919 - 27919 + 1059*r)*((-2 + 2 + 2*r)*(r + 5*r + 0*r) + 1 - r**2 - 1).\nAnswer: 11649*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 + 0.17. Sort -0.4, 2\/13, h in ascending order.\nAnswer: -0.4, h, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let b = -11 + 9. Let k be (-6)\/(-18)*(-1)\/b*d. Solve 4*g = 2*p, k*g = -p - 5*g - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1051.87 - 137.\nAnswer: 914.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(284\/(-7668)). Let f(x) = -x**3 - 4*x**2 - x - 3. Let o be f(-4). What is the highest common divisor of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 684786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -5 + (sqrt(22)*-3)\/sqrt(2))**2.\nAnswer: 162*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -202 in -1.1, 3\/4, 0.5, 4, -8\/21?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 - r - 5. Let h(w) = -5 + 0 - 2*w + 2*w + 8*w**2 - w. Let l(s) = -4*h(s) + 5*y(s). Let d be l(-5). Round d to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 35. Let y(x) = 4*x**6 + 5*x**3 - 9*x**2 - 5*x. Let g(q) = q**6 + q**3 - q. Let a(i) = v*g(i) - y(i). Find the third derivative of a(c) wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160540576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 3*z**2 + 3*z + 3. Suppose 9*v - 10*v = 3. Let a(k) = -6*k**3 + 8*k**2 - 8*k - 8. What is v*a(u) - 8*i(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131245572.\nAnswer: 2, 3, 10937131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2)*x)**(-14))**(2\/59) assuming x is positive.\nAnswer: x**(-112\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 914 - 914. Which is the nearest to -0.5? (a) -0.2 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.05015 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4 = 4*z, -z = -0*z + 5*v - 14. Let n be ((-2)\/(-4))\/((-3)\/z). Put n, 2, -3 in descending order.\nAnswer: 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - y - 10, -4*t = -5*y + 2*y + 3. Solve w = -t*g + 3, 0*w + 5*w + 2*g + 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 89 + (-6)\/(-9)*(-30)\/(-20). Calculate the greatest common factor of 80 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -251*w + 251*w - 6*w**2 as a + t*w + y*w**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123732615 + 0?\nAnswer: 123732615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -31 (c) 4 (d) -1\/63 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63445?\nAnswer: 5, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 22.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3729694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/sqrt(40))\/(sqrt(144)*-1).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/8)\/(-3*(-3)\/(-585)). Let p = v - 81. Let i = 1.9 - 2. What is the closest to p in -0.2, i, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.093 in -1\/7, 156, -19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 1, j: 3, q: 1, y: 2}. Give prob of picking 2 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 6\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k**2\/10 - 1247*k\/10 + 9 = 0. What is k?\nAnswer: 5\/69, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582092583 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -10. Let i(q) = q**2 + 15*q + 2. Let x be i(-15). Solve -x*t = 5*w - o, -4*w = 4*t + t + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 + 14. Let j be i(0). Suppose -a = 1 - j. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -18\/3780835?\nAnswer: -18\/3780835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, -5, 2\/135, -0.3 in decreasing order.\nAnswer: 5, 0.3, 2\/135, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/15 + 6048*s**2\/5 - 3738*s - 980100 = 0.\nAnswer: -9075, -27, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 830579.5ng in micrograms?\nAnswer: 830.5795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3395, 6789, 10181, 13571?\nAnswer: 16959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:20 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1)\/(1\/(-4)). Solve -3*x - u = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -31, -0.5, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**7\/420 + j**4\/12 + j**3\/3 + 3*j. Let x(i) be the second derivative of u(i). What is the first derivative of x(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 2 + 1\/3*o**4 - 4\/25*o**5 + 1\/210*o**7 + 32\/5*o**2 - 1\/50*o**6 + 14*o + 16\/5*o**3. Suppose y(q) = 0. What is q?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131\/(-8) - ((-32500)\/(-4875))\/((-26)\/18 + 1)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-15)*(n*n**(-5))**21 assuming n is positive.\nAnswer: n**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315 - 289. Let l = x + -28. Which is smaller: -0.3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*j - 5*g, 5*g + 19 = 5*j - 1. Suppose -4*c + 1 = 5*a, 0 = -j*c - 4*a + 125 - 117. Solve c*i - 6 = 6, 5*t - i - 7 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236 + 166 + -336 - (0 - -15).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 - 167. Solve -3*v - 10 = -b*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**2 - 50 - 2*r - r**3 + 1\/4*r**4. Suppose 1 = -l + 5. Calculate a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - v - 26, -39 = -3*c + 5*v - 4*v. Let t be 0 - (9\/(-3) - 1). Solve -t*k + c = -7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l**2 - 3*l**2 + 24*l - 3*l**2)*(-3 + 0 - 4) as s*l + b + g*l**2 and give s.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 49 = 5*s, -31 = i + 25*s - 16*s for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 12*n - 13. Give a(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 + i**3 + 32*i**2 + 6 - 2*i**3 in the form k*i**2 + f + g*i + u*i**3 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -2673\nAnswer: 267.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -2*b + b. Suppose 5*k = b + 513. Suppose 3*h - k = 5*z, 3*h = -5*z + 34 + 97. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7896 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 15*a - 8. Let f be r(-9). Solve -3*y - w = -0*y - 9, -f = -2*y - 5*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -0*b + 5*b. Let j = 20 - b. Let a be 5\/1*3\/j. Put -4, a, -5 in descending order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13044 divided by -1806\nAnswer: 2174\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 - -65. Let q = 69 + w. Which is the closest to 0? (a) q (b) -3\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 - 3. Let o be k(3). Suppose t + 205 = o*t. Suppose t = j - 44. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10375 divided by -25.\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 155800 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/637 + 0)*3. Let x = 7055\/10192 - q. Find the common denominator of (((-95)\/2)\/1)\/(-4) and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 121886\/(-2) + (1 - -1). Let s = t - -87464. Let v = -477281\/18 + s. Find the common denominator of -37\/20 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/((-5)\/20). Let w(p) = p + 3*p - s*p - 2*p. Let z(t) = -t**2. What is w(z(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 23*h - 1. Suppose -257*r + 312*r + 660 = 0. What is j(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67010 is divided by 657?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6*v + v + 3 = 0, 0 = -z + v. Suppose 0*l - 2*x - 14 = -3*l, l - z = x. Calculate the remainder when 29 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03382, 0.4, 2, 2\/33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/10 - (477\/(-60) + 8). Let y be 1*3\/(-9)*1. Which is the second smallest value? (a) y (b) f (c) -0.5 (d) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809661 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 89*w - 1031. Determine q(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 - 37 = -107*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -699, -1642, -2953, -4626, -6655, -9034, -11757?\nAnswer: -14818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.12 - -0.08. Let s = 0.7 - f. Let i = 4.2 - 0.2. What is the smallest value in 2\/17, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 2}. Give prob of sequence iff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 1 = c, -13 = -2*c - x. Let d = c - 0. Solve -4*k + 4*r = -r, r + d = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 397 (c) -1\/2 (d) -2 (e) 2\/933\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = -54*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9838*x**3 + x**2 + 3695*x - 5?\nAnswer: 59028*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*(-30)\/4. Suppose 2*b - 3*q - 51 = 0, -3*b - h*q = -49 + 1. 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: What is 595.5589l in millilitres?\nAnswer: 595558.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -11. Let f = -26 - -26. Let l(o) = -11 - o - 2*o + f + 5. What is l(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546226923699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65093464 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6654 and 60.78.\nAnswer: -40.443012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -d + 29549*r - 29550*r, -4*d - 3*r - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m**(-6)*m*m*m)\/m)\/m)\/(m\/(m\/(m**(-6\/13)\/m*m)*m))*(m**(3\/5))**(-1\/10))**(-2\/15))**(12\/7) assuming m is positive.\nAnswer: m**(6756\/11375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 817\/8 greater than or equal to -4\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*t - 64. Let i be t\/(-55) + 16\/10. Sort i, 5\/2, 3.\nAnswer: i, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1712671 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 4*z, z = -2*i + 36 - 10. Solve u + i - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108368798 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-140)\/(-6)*(-1 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 184 - 188. Sort g, -3, 2, 0 in increasing order.\nAnswer: g, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 427266 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1889000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -17*v - 51 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 43 = 85. Let z = q + 35. Suppose -z*y = -2*y + 3*u + 6999985, -4*y + 3*u = 28000015. What is y rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392236 and 2964.\nAnswer: 1176708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 10:24 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 27 = 5*t + o, t - 4*o - 1 = 0. Suppose -14*l = -t*l - 1224. Calculate the remainder when l is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11790 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, w: 2}. What is prob of sequence mwmm?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18864654 divided by 18864654.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -1\/12*v**4 + 0*v + 3*v**2 + 0 + 1\/2*v**3. What is the derivative of r(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1216 and 47\/64.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 175, 580, 1325, 2512, 4243, 6620, 9745?\n\"Answer: 17*q**3 + 17*q**2 - 3*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*b**3 - 191*b**3 + 149*b**3 + 164*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.3 (c) 43\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**2 - 9. Let w(t) = -t**2. Determine w(y(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-14 + 0 - 7)) + 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1*((-20)\/8)\/(-5))\/(70\/1820)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let g(w) be the third derivative of 127*w**5\/20 - 2*w**2 - 70. What is b(g(m))?\nAnswer: 381*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 340620794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*k - 3*p + 12, 5*k + 5*p = 45. Let z(n) = 3*n**2 + n + 2. Let d = 0 + 3. Let u be z(d). Calculate the highest common divisor of k and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29936 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11238, 11236, 11234, 11232?\nAnswer: 11230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 59. Let z = 114133 + -114135. Sort -2\/7, o, z, 2 in decreasing order.\nAnswer: o, 2, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-6)\/(-8) + 22248\/90528). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - -13. Suppose k = -6*x + 3*x. Let q = 15 + x. Solve -3*j = q*o - 6, -2*o = j - 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-935)*26)\/((-14)\/11).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 + 438*o**3 - 18015*o**2 + 147288*o - 291312 = 0 for o.\nAnswer: 3, 7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 157?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1017899, 1017912, 1017933, 1017962, 1017999, 1018044?\n\"Answer: 4*b**2 + b + 1017894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14)*21\/(-6))\/((-75)\/(-3900))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 23*h**2 + 834*h + 370. Determine u(-36).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 24. Give h(7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 32 = 3*v, 5*v + 2*c + 9 - 45 = 0. Suppose -z + v = z. Suppose 0 = z*w - 2*x - 54, 4 = -2*x - 2*x. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j - 7. Let l be o(7). Suppose -26222 + 9233 = -l*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13961454502323*v**3 - 13961493333201*v**2 - 38830905*v - 27.\nAnswer: -3*(v + 1)*(2157271*v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.095131 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -97, -206, -343, -496, -653, -802?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o + 3*o)*(-18 - 34 + 15)*(5 - 5 - o) + 2*o**2 - o**2 - 3*o**2.\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**3 - 3*y**2 - 59*y - 13. Let d(x) = -14*x**3 - 4*x**2 - 89*x - 18. What is -7*c(i) + 5*d(i)?\nAnswer: -7*i**3 + i**2 - 32*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v + 38. Let q be n(8). Let b(w) = -96*w**3 - 4*w**2 - 2*w + 1. List the prime factors of b(q).\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + 0)*-4 - 3*((sqrt(1700) - (sqrt(1700) + sqrt(1700)*2)) + sqrt(1700))) + -4*(sqrt(17) + -1)*-5 + 0)**2.\nAnswer: -400*sqrt(17) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3111*p - 1423 + 711 + 710.\nAnswer: -3111*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 44*l + 1 - 3 to the form t + v*l and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -33. Let k(t) = 9*t**2 - 4*t - 6. Let c(p) = -10*p**2 + 5*p + 7. Determine x*k(j) - 6*c(j).\nAnswer: -3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(3\/(-9)*6\/10)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16312 - 16307. Solve -2*o + 101*c = 99*c + 8, -20 = f*o + 5*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {e: 1, z: 5, t: 1, o: 1, j: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2316 take away 1?\nAnswer: -1.2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-45)\/6))\/((-6120)\/(-459))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3819 - -3827. Suppose 0 = 4*j - 88. Let k = j - 0. What is the remainder when k is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -729 by -227.\nAnswer: 729\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 24 = -j. Let b(l) = -l**j - 4*l - 3*l + 0*l + 6 - 12. Determine b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwdhv. What is prob of sequence cwd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 838060.2 litres in millilitres?\nAnswer: 838060200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and (96\/18 - 6)*585\/(-10) + -6?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 381 + -387. Sort x, 3, -5.\nAnswer: x, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - -235 - (0 + 3 + -6 + 7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.48 - -3.2. Let q = 3317713 + -3317712.7200026. Let h = z + q. What is h rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:47 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -350 + 347.14. Let g = f + 2.56. What is the third biggest value in -0.17, g, -4, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.51978 millennia to months.\nAnswer: 450237.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 9, d: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (-2*sqrt(4400) - sqrt(4400)) + (0 + sqrt(4400) + sqrt(4400))*-1)**2.\nAnswer: -800*sqrt(11) + 110016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)*-1 + sqrt(513))\/sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(612) - sqrt(612)*-4).\nAnswer: -750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72511 times -12?\nAnswer: 870132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 19*k - 48. Let f = -17 - -30. Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 63 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 92*i**4 + 1285*i**3 - 47*i**2 - 70*i = 0.\nAnswer: -14, -5\/23, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 divided by 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-11 + 4\/(-2)). Let p = -5.8 - -0.8. Sort p, y, 0.4 in ascending order.\nAnswer: p, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 1423389*l - 5693508.\nAnswer: -3*(l + 4)*(l + 474459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 9 - 16, -3*a = -z - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10566.140181 - 10534.140181108. Let f = -32 + r. Round f to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3658913 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 3*s + 60. Suppose 2*j - 3*j + 159 = 0. Let w = j + -102. Calculate the remainder when w is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 3*n**2 - 2*n - 2. Let s be k(-3). Find the third derivative of -2*p**2 - 2*p**5 + 17*p**4 - 17*p**s + 3*p**2 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1358 = -6*p - p. Suppose -23*b = -p - 1531. Calculate the remainder when 371 is divided by b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 4 + 17 + -9 + 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 - 0.18. Let g = n - -0.42. Put 0.3, -3\/10, g in decreasing order.\nAnswer: 0.3, g, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 11. Suppose -3*s - m*h - 15 = -4*h, 5*s - 5*h + 65 = 0. Is (s\/(-4))\/(2\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110101000001011001011 (base 2) to base 9\nAnswer: -3237255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Suppose 0 = -k*j - 32 + 232. Let f = 5 - -5. What is the greatest common divisor of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 62.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -483337*u**2 - 7768*u + 64.\nAnswer: -966674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/(729\/(-6)))\/(-1*(-4 + 3)). What is the nearest to 4 in -7\/46, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 150389 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 165 + 0*p - 175 + 6*p.\nAnswer: 5*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - a9?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 8*g = -0*i + 3*g - 612 + 606, 14*i = -0*i - 4*g + 158 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n + 8. Let j(g) = -6*g + 15. Give -3*j(h) + 5*y(h).\nAnswer: 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = -3. Let b be 6\/4*-2 - -4. Do b and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*c + 45 = 2*c, 3*q - 2*c = 77. Let m = -1 - -6. Calculate the greatest common factor of q and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 47 = -0*t - 3*c, -5*t = -2*c - 90. Suppose -108 - 108 = 18*h. Let n be (-4)\/h - (-5)\/(-15). Solve n = 4*x + 3*u - t, -2*x + 5 + 3 = 5*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - b**2 + b**2)*(-5674 - 9155 + 2710).\nAnswer: -24238*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155726017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1008))**2 + sqrt(70)\/(sqrt(90)*1))*1.\nAnswer: -143*sqrt(7)\/3 + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(192) + sqrt(192))**2 + -3*sqrt(192) + 1.\nAnswer: 72*sqrt(3) + 778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4381, 4335, 4289?\nAnswer: 4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/220 and -3\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4517*s**2 - 1929*s?\nAnswer: 9034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.731 + -0.009. Let h = 0.26 - q. Let b = -11.9999 + h. What is b rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 33?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + -23. Let x = r + 139\/2. What is the closest to 1 in -3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11914038 and 97959868?\nAnswer: 881638812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 10, o: 1, e: 1}. Give prob of sequence ho.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7318?\nAnswer: 2, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13283 > 13283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*w + 89 = 0, -w + 3*w = 2*z + 46. Let n = -0.1027 + -0.2973. Which is the second biggest value? (a) 2 (b) n (c) 2\/3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/12*266\/(-931).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/34)\/((-15)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*y = 0, -2 = x + 31*y - 19*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 o when four letters picked without replacement from oododzozddd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6509 and 0.41428.\nAnswer: -6508.58572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 2\/11 (c) -3\/14 (d) 27\/2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 + 2 + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-144))\/(80\/(-11880)*-330).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 300613127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13721 + 17194. What are the prime factors of b?\nAnswer: 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30641 = -3217*g - 7923 - 28993 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 947546.9 millennia in decades?\nAnswer: 94754690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 - 2*s**2 - 2*s + 1. Let a(z) = -z**3 + z**2. Let k(x) = 4*a(x) + v(x). Calculate k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Suppose v = 2*z, 5*z = -0*v - 3*v + 22. Let o(h) = 4*h**2 - v*h**2 + h**2. What is j(o(y))?\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 4*b - 16. Let u be t(-5). What is the common denominator of 301\/60 - u\/(-35) and 37\/39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.447 - -7290.27.\nAnswer: 7296.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x**3 - x**2 - 2*x. Let d be q(-2). Suppose 7*v + d = 11*v. Find the third derivative of 29*t**2 - 7*t**2 + 8*t**4 + 32*t - v*t wrt t.\nAnswer: 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynynnnnyynynyyyy. Give prob of sequence nn.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34234379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2022, 8906, 20378, 36444, 57110?\nAnswer: 82382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 60*k - 13. Let d(w) = -119*w + 25. Let v(m) = -3*d(m) - 5*q(m). Let x = -23 + 26. Is v(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6431*d**6*o - d**2*o - 4*d**2 + 2*d*o - 10*d + 582 wrt d.\nAnswer: -771720*d**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 3*j - 4. Let q be -4 + 1 + (9 - 3). Let i be k(q). Let r = 164 - i. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*r - 30, 2*r + 21 = -3*t - r. Let b(m) = m**3 + 6*m**2 + 6*m + 1. Calculate b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 252 = -50*o + 46*o, 4*a = -2*o + 116. What is the remainder when o is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-3 + 3 - 2*x) - 896 - 49*x + 896 + (2 + 8 + 15)*(-4*x + 2 - 2).\nAnswer: -147*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 634 and 3735211.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7977 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 16 = -11*z. Calculate the highest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 2, u: 3, q: 3, o: 2, h: 1}. Give prob of picking 1 k, 1 t, and 1 h.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (2\/4)\/(2\/16). Suppose -3*o - k + 9 = -2*k, 0 = -v*o - 5*k - 5. Solve 8\/3*h - 7\/6*h**o - 2\/3 = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 51723946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 2*d**3 - d**3)*(18 - 27 + 18) + (d - 2*d + 3*d)*(0 - 3 - 7)*(-1 + 4 - 1)*(6*d**2 - 4*d**2 - 3*d**2).\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 17 - -14) + 20 - -17 - -60?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 15. Let x(z) = 1. Calculate -s(q) - 2*x(q).\nAnswer: 3*q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*((-2 + sqrt(162))*1 - (sqrt(162) - (sqrt(162) - (sqrt(162)*2*-4 - sqrt(162))**2))) + 5.\nAnswer: -72*sqrt(2) + 104997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83195747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 305*a - 66. Let t be i(0). Sort t, -5, 1 in decreasing order.\nAnswer: 1, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 5*i**4\/24 + 10*i**3\/3 - 4*i**2. Let q be v(-8). Which is smaller: q or -19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013243 to four dps.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/5*1\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236 + 440. Suppose 7*x = 4*x + l. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -1210*d**4 + 166285625*d**3\/2 - 11337555*d**2\/2 - 6184165*d\/2 - 343565\/2 = 0?\nAnswer: -1\/11, 1\/4, 68713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 225348811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 590 + -590.4. Sort -4, -3\/5, b, 0.\nAnswer: -4, -3\/5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18433 - 2.\nAnswer: -18435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -18 + (26 - (101 - 50) - 48)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11*i**2 + 2*i + 8. Let o(z) = 10*z**2 - 2*z - 7. Determine 5*c(d) + 6*o(d).\nAnswer: 5*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -747143*w**4 + 747838*w**4 - 5 + 3*w**3 - w**3 to the form d*w**2 + k*w + i + l*w**4 + z*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 13 + 2*p**2 - 4*p**2 - 3*p**2 - 12.\nAnswer: -4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404.2614 meters in millimeters?\nAnswer: 404261.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.15.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70375 divided by -1.\nAnswer: -70375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 30*o + 86. Let w be v(27). Which is the closest to 1? (a) -1\/19 (b) -0.2 (c) w (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1 - (2901 + -2942).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) -0.5 (c) 4594 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {b: 6, u: 6, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603808586?\nAnswer: 2, 199, 1517107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 175*o - 188*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 78*q**2 + q + 3. Let j be f(3). Let x = 170 - j. What is x rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 15. Suppose -2*q = -0*q - j. Suppose 0 = -d + 2*v + 15, -13 - q = -2*d + v. Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 38*k - 21. Let h be t(-20). Suppose 0 = -3*v + 12. What is the first derivative of -19*y + 6 + h*y + y**v wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/4 - t**3\/3 + 17*t**2\/2 - 1848*t. Let k(b) = 7*b**2 - 4*b + 35. Calculate -4*k(g) + 9*y(g).\nAnswer: -g**2 - 2*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -0.2, -8, 2\/53 in descending order.\nAnswer: 2\/53, -0.2, -4\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 9. Let r(y) = -5. Let u(q) = q. Suppose -3*c + 14 = -h - 4, -12 = -2*c - 3*h. Let s(d) = c*u(d) + r(d). Let a(z) = 5*z - 4. Give j*s(t) + 5*a(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8) + (-17 - -19) - -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*d + 37, -4 = s - 0. Let r(u) = u**2 - 10. What is the units digit of r(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h - 40. Let x = 276 + -249. Let w = h + x. What is the greatest common factor of 34 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277 - -809. List the prime factors of c.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1394132, -1394143, -1394162, -1394189, -1394224, -1394267, -1394318?\nAnswer: -1394377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -30. Suppose -u = -5*b + 8. Suppose 178 = b*x + 26. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 102?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117207975.\nAnswer: 3, 5, 101, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*i + 61, -199 = -2*i - 34*t + 245 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44465 (base 8) to base 4.\nAnswer: 10210311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25.5811 years?\nAnswer: 306.9732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13209697 to 3 decimal places.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3430*o**5 - 2260*o + 49 - 20520*o**3 - 10200*o**2 - 15660*o**4 - 113 - 124 + 3106*o**5 = 0.\nAnswer: -47, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74562160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517, 516, 515, 514, 513, 512?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 129 - 210 - ((-4 + -1 - (1 + -2)) + -6)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -25 and -195\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154575 and 6075?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45994)\/8845*2\/(-13) + (-119)\/(-20).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 75.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.78085 litres in millilitres?\nAnswer: 67780.85","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:23 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 40. Let s be c(-8). Suppose -z = -s*z + 5. List the prime factors of z\/((-15)\/21) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -93 - 4*r**2 + 8*r + 88 + 4*r**2 + 0*r - r**2. Let x = -170 + 176. Determine h(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 11358573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3139*f**2\/3 + 191983*f\/6 - 3360 = 0.\nAnswer: -2240\/73, 9\/86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*q**4 + 2*q**3*x - q**2 - q + 28*x wrt q.\nAnswer: 132*q**2 + 12*q*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1 - 2 + 2. Let s(c) = c + 1. Let y(q) = 2*h(q) + 2*s(q). Let u(r) = 6*r**2. Calculate y(u(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from bebbybedyybemeeeb?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from akkakkmhqkhhkhkkqhm?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -4.140225.\nAnswer: 0.662436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 3*z**3\/2 + 35*z**2\/2 - 70*z. Let o be a(-4). Which is smaller: 5\/23 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((51 - 20) + 17)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-5))\/((-27)\/(-30)). Let d = 2 + 4. Which is the third smallest value? (a) -3 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 120576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 74*0.099\nAnswer: 7.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r**3 + 827*r + 830*r - 1659*r - 284*r**2 + 284*r**2.\nAnswer: -50*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2508886*h**2 + 0*h + 0*h - 2503193*h**2.\nAnswer: 5693*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/321950 and 33\/27025.\nAnswer: 7404850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 168757.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -3, -4, -2 in ascending order.\nAnswer: -78, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -1853876306 and -1.\nAnswer: -1853876307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -0.36 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/103 - 91\/618. Let a = 383 - 1428. Let t be 5*1*38\/a. Put t, 3, r in ascending order.\nAnswer: t, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4882 + 18781. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/12)\/((-2)\/102). Let g = h - -30. Let k = g + -12. What is the lowest common multiple of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -52*x - 1. Calculate z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -260?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*z - 185 = -2*g, 111 = 3*g - 3*z. Let p = 6 - 3. Suppose 3 = p*u + 3*f, -6*f - g = -2*u - f. Solve 5*a = -9 - u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*k**3 - 350*k?\nAnswer: -1146*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 18546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -59383, -59378, -59373, -59368, -59363?\n\"Answer: 5*y - 59388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y**2 - 48*y + 337. Let q(c) = -17*c**2 - 47*c + 337. Let d(g) = 3*q(g) - 4*r(g). Let k be d(6). Solve k*p + 21 = 2*w, -2 + 11 = 5*w + 2*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Suppose 7 + 18 = 5*h. What is the remainder when 13 is divided by x(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 29952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 + 209. Suppose 7 = -14*v - q. Suppose -23 + 2 = 3*r. What is the closest to 1 in r, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2 + 20*z**2 + 7 + z - 12*z**2. Determine m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8693*t*w**3 - 2*t*w**2 - 4*t*w + 64*t - 113416896*w**3 wrt t?\nAnswer: -8693*w**3 - 2*w**2 - 4*w + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + 0 - (17 - 14). Let x be (1 + 1)*b\/14. Solve 4*k - 3*k = x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10088744\/29 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 - 6*u**3 - 2*u**2 + 7*u**3 + 2*u + u**3 to the form r*u**3 + q*u**2 + m*u + b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*z**2 + 12*z**5 - 102*z**5 + 51*z**2 wrt z?\nAnswer: -5400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**16*h**(-17)*h*h\/(h*h**13*h)*h\/h**(4\/3))**(6\/5) assuming h is positive.\nAnswer: h**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)\/l)\/(l**24\/l) assuming l is positive.\nAnswer: l**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/552 and 23\/10.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2583 (base 10) to base 6\nAnswer: 15543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:20 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 329400*h**4 + 10235109*h**2 - 1 wrt h?\nAnswer: 7905600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959225 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**20*l*l\/(l\/(l**38*l)) assuming l is positive.\nAnswer: l**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 20*f + 81 - 44.\nAnswer: 20*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:13 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1118877 to the nearest 1000.\nAnswer: -1119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 90580.61 tonnes?\nAnswer: 90580610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -19.7, 1, -0.2, 2\/11, -109?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1383, 2888, 4393, 5898?\n\"Answer: 1505*g - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2, -1, 565 in decreasing order.\nAnswer: 565, 2, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275411 is divided by 236.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34046029.\nAnswer: 29, 31, 37871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795 + 843 = 8*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-14\/5))\/(h**(-3\/20)\/h*h))**(-16\/7))**(-1\/21) assuming h is positive.\nAnswer: h**(316\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/5, -1\/145, 1 in ascending order.\nAnswer: -1, -1\/5, -1\/145, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 29 + 246 + -145?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:23 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 154*a - 943 - 60*a + 628*a.\nAnswer: 722*a - 922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1268? (a) 2\/91 (b) 0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2) + -4 + 4. Let l = 4 - 3. What is the common denominator of l\/x + 75\/(-8) and -17\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0359 and -9544.\nAnswer: -342.6296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 250*n**3 - n**2 + 6*n - 12. Let p be a(4). Suppose -41*y = 3450 - p. What is the greatest common divisor of y and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -3 + (-1 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + g + 61*g**2.\nAnswer: 61*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2 + 2*d)*(0 + 2*d**2 + 0).\nAnswer: 4*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31457.94*16\nAnswer: -503327.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j - 122*j + 0*j to the form c + k*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (3 + 1)*2. Let m(d) = -2*d**2 - 3*d + 10. Let i(x) = -x**2 - 4*x + 9. Let r(s) = 3*i(s) - 2*m(s). List the prime factors of r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26993865.\nAnswer: 3, 5, 1799591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -295. Suppose 2 = 2*i - 0, 4*y - c = i. Suppose 2*u + 113 = 5*d, 4*d + u = 7*d - y. Calculate the smallest common multiple of 9 and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 + 22*l - 59. Let g be b(6). Let r(h) = -1 + g - 3*h + 20*h - 8*h. What is r(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let b be 2 + 0\/((-2)\/(-1)). Let i(x) be the second derivative of x**4\/12 + x**3\/2 - x**2\/2 + 12*x. What is b*p(v) + i(v)?\nAnswer: v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14653019, -29306025, -43959015, -58611983, -73264923, -87917829?\n\"Answer: w**3 + 2*w**2 - 14653019*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306077?\nAnswer: 331, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - i - 2*i**2 + 2 + 57*i - 16*i**2 - 57*i + (-7*i + 3*i + i)*(3*i - i - i).\nAnswer: -21*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 664*q**3 - 4*q**2 - 4*q - 4. Let d(c) = -665*c**3 + 3*c**2 + 3*c + 3. Give -4*d(n) - 3*r(n).\nAnswer: 668*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 - -13.5?\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 21380 = 5*r, 4*r - 4*b + 6651 = -10421. Let z = -12937\/3 - r. Let j = -40 - z. Is -1\/3 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70843084 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3516070 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -92.\nAnswer: -92, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 32\/10*25\/(-10). Suppose 14*i - m*i - 14602 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -101, -156, -227, -320, -441, -596?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29112345 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.32 in 1, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25080958 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 243758717, 243758716, 243758715?\n\"Answer: -z + 243758718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*7*(-3 + (-135)\/(-35)). Let s(l) = -4*l**3 + 4*l**2 + 5. Let t(a) = 5*a**3 - 5*a**2 - 6. What is g*s(w) - 5*t(w)?\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -20, -65, -138, -245, -392, -585, -830?\n\"Answer: -z**3 - 5*z**2 - z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552771 is divided by 1840.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -22*b**2 - 14*b + 7. Let a be s(-1). Sort -40, 4, a, -4.\nAnswer: -40, -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 194)*6\/(-9). Suppose 7*l - c = 9*l. Let p = 83 + l. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1847*k. Let a(b) = 70*b**2. Give m(a(q)).\nAnswer: -129290*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - 124. Let r be ((-1)\/2)\/(3\/c). Let d = r - -3. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/10*(10150\/(-28))\/(-29) - -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8381.25647 - -0.7.\nAnswer: 8381.95647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 236, 346, 456?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-6))\/(-7) - 148\/(-111))*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34 + 3)*(-1766)\/(-4). Let t = 242789\/18 + l. Let h = 198 + t. Which is the biggest value? (a) 15 (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148027.\nAnswer: 11, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 4, 51, 1174?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-56) - (-1512)\/(-980).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i**2 + i**2)*(8*i**2 - 3*i + 2*i - 3*i**2 + 2).\nAnswer: 10*i**4 - 2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 262, 592, 1076, 1714, 2506, 3452?\nAnswer: 4552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14980*t - 2113785 - 81864 + 501493 = -7914*t for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/6 - 5*o**4\/3 - 7108*o. Factor p(w).\nAnswer: 5*w**2*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 93 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*n - 5838 - 8826 = 662*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -824*b**2 + 90598*b**6 + 199*b**2 - 90832*b**6 wrt b.\nAnswer: -28080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 13*m**2 - 8*m + 6. Let i(n) = -11*n**2 + 7*n - 5. Let x(s) = -6*f(s) - 7*i(s). Let r(p) = p**2 + 6*p + 12. Calculate r(v) + 4*x(v).\nAnswer: -3*v**2 + 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 20. Let s(b) be the second derivative of -b**3\/6 + 7*b**2\/2 + 3*b. Let p(m) = -8*s(m) - 3*z(m). Determine p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -6. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -408\/11, 0.03, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 17*h - 16. Let k be q(5). Let y = -27 + k. Calculate the greatest common divisor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 - 1)*(1 - 1 + 2)*(2*n - 4*n + 10*n + (2*n - 4*n + 4*n)*(-2 + 1 + 3)) to g*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3341 - -3345. Solve -2*g = k - 7, 0 = -20*g + 23*g - f*k + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + n = -46 + 183, 0 = 2*j - 2*n - 56. Suppose j = 2*w - 33. List the prime factors of w - (-1 - (-1 + 0)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78733739 divided by 78733739.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1018571*h**3 - 2463*h - 153 wrt h?\nAnswer: 6111426*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.39, -4, 2\/11 in decreasing order.\nAnswer: 0.39, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 148915 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = w + 33. Let o = 101 - 73. What is the greatest common divisor of o and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 38*w**3 + w**2 + 9*w - 14. Let x(p) = 19*p + 116. Let b be x(-6). Calculate the remainder when y(b) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 107. Which is bigger: o or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 24. Let l = x - 23. Let g = -41 + 124\/3. Which is the nearest to g? (a) 0 (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 644*j + 11. Suppose 2*c + 0*c = -5*o + 26, 4*c - 28 = -4*o. Is v(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*q - 168 = i, -5*i + 420 = 5*q. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*x + 2, 0 = x + 103*i - 108*i - 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*1)\/sqrt(2))\/(sqrt(3) - -2*(sqrt(3) - sqrt(6)\/sqrt(2))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x**2 - 2*x - 11. Let y(g) = g**2 + g. Let t(n) = v(n) - y(n). Let l be t(5). Let j = l - -457. List the prime factors of j.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) 38053 (b) 0.3 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -302, -300, -298?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33471?\nAnswer: 3, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-10)\/105*7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 2111651.\nAnswer: 21116.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-1)*(-1 - 2). Let h = 20 + i. Suppose -5*f = -3*g - h, -5*g - 13 = -0*f + 3*f. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -16c2292?\nAnswer: 16c22a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/518)\/((-2)\/(-581))*((-644)\/(-21))\/23.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 60093.88 millimeters?\nAnswer: 60093880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22389 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 + 15*c + 4. Suppose 6*j - 3*j = -66. Let f(l) = -2*l**2 + 4*l + 1. Let i be 213\/30 - 1 - 74\/740. Determine i*b(r) + j*f(r).\nAnswer: 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000299798 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 50*f + 21 = -5*r - 45*f, -f = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Let h be g*((-5)\/(-2))\/(-5). Suppose -2*a + 5*a = 0. Is a < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 4*c**2 + 3*c**2 + 50*c - 27*c**2 - 50*c + 2*c**2 - 4*c**2 + 0*c**2 + (-2 + 2 - c)*(2*c + 0*c - c) + 2*c**2 - c + c + 2*c**2 - 1 + 1.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 145 - -3?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -1.4, -50, -25?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 + 8*q + 10. Let t be b(8). Let d = t - 6. Suppose 4 - 12 = -h. Solve -4*l + 24 = -2*x + d, -4*l = 4*x - h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 2*v + 32. Is d(0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328\/2470 + 147\/((-405132)\/424)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -33. Suppose -a*l + 5 + 100 = 0. Suppose -19*z = -l*z. Is z at least as big as 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 1. Let z = 74 - 74. Suppose -4 = j - 7. Suppose -j*c + 4*g + 14 = z, 8*c = 4*c - 2*g + 4. Determine n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1224*z. Let b(c) = 455*c. Give s(b(x)).\nAnswer: -556920*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from jjvgggg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-18)*81\/18.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s**4 + 8*s**3 - 4*s + 338.\nAnswer: 8*s**3 + 24*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-11\/3)*i*(i*i**9*i)\/i*(i*i*i**(1\/2))**45)**(-2\/33) assuming i is positive.\nAnswer: i**(-769\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2646*i**4\/5 + 168*i**3\/5 + 8*i**2\/15 = 0.\nAnswer: -2\/63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p + p**2 - 51 + 23 + 3*p + 28 - 11*p**3 to the form h*p**3 + z + q*p + n*p**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42333541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6584.48499 to the nearest ten.\nAnswer: -6580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10828 = 4*s + 10*h, -13611 = -5*s - 48*h + 45*h. What is the remainder when s is divided by 63?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246994 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2 - 23*l + 3 + 24*l - 4. What is d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*f = 13, -2*k - 2*f - 20 = -k. Let i be (k\/(-4))\/((-3)\/(-4)). Is (i\/(-4))\/(15\/(-140)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 251 = 17. Let c = 198 - s. Is c + (-3)\/(-1) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2564 - 2565. What is the fifth smallest value in -5\/6, -2\/39, 0, y, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 4*n - 2. Let l = 49 + -39. Let w be ((-12)\/l*1)\/((-4)\/(-10)). Calculate j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/7 (b) 3\/8 (c) -1\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(-14))**(-14\/11)\/((u*u**3*u)\/u**(2\/11)*(u**(-1))**(-5\/16)) assuming u is positive.\nAnswer: u**(-5845\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50791260, 50791257, 50791252, 50791245, 50791236?\nAnswer: 50791225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/160? (a) -0.4 (b) -2\/921 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (13 + -22 - 21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78373, -78534, -78703, -78880, -79065, -79258, -79459?\nAnswer: -79668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + r + 10 = 0, 4*r = 4*w + 9*r + 2. Let m be -20*579*w\/(36\/20). What is m rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59586957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*f + 2*f - 9*f + (-2 + 1 + 0)*(2*f - 3*f + 3*f) in the form c*f + t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12130, -24289, -36448?\n\"Answer: -12159*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5364382 is divided by 646?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 3. Let n(m) = -m**2 - 3. Let q(a) = -a**2 - 2. Let u(h) = 2*n(h) - 3*q(h). Give u(f(t)).\nAnswer: t**4 + 6*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1491818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 208*s - 305*s - 419*s)*(4*s**2 - 3*s**2 - 3*s**2) as d*s**3 + k + a*s + w*s**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (sqrt(612) + -3)*-3)**2.\nAnswer: -432*sqrt(17) + 9873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7654723*b**2 + 9679414*b?\nAnswer: 15309446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186566*p - 147*p**2 + 186566*p.\nAnswer: -147*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2984, -11910, -26788, -47618?\nAnswer: -74400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i - 5*f - 9, 0 = 5*i + 2*f - 61. Suppose 76 = 4*n + r - 79, -3*n + 3*r = -135. Calculate the remainder when n is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 1:53 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a**4 + 0 - 2*a**2 + 0*a**3 + 0*a - 1\/60*a**5. Let z(w) = -3498*w + w**2 + 3498*w. Determine b(z(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 71. Let v be z(-9). Let u = v + 14. Let j = 105 - 33. What is the remainder when j is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -0.86, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from iviwiiwwwwwwivw.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 26*k - 658 = 0. Let j = k + -104. Calculate the greatest common factor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 9, -3, -2, 5 in descending order.\nAnswer: 40, 9, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2\/5 + 7498*l\/5 + 50524 = 0.\nAnswer: -3715, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 38*v**2 + 338*v + 29. Determine b(24).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 10*d**2 - d - 7. Let s be q(-10). Suppose 4*y = 7*y - s. Let k(u) = -u**3 + 4*u**2 + 4*u + 7. Let c be k(5). Solve r + c = y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*x**3 + 2*x**3 - 4*x**3 + 3*x**3 + (2*x + x**2 - 2*x)*(0*x - x + 0*x) - 1 - 2*x**3 + 1 + 0*x**2 + 0*x**2 - x**3 + 2*x**2.\nAnswer: -5*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -339, -315, -283, -243?\n\"Answer: 4*a**2 + 12*a - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -178*k + 173*k - 40 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.066, 1\/3, 2, -1 in increasing order.\nAnswer: -1, 0.066, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 - 0.8.\nAnswer: 294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 - (51 - 5 - (35 + -42))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -81\/2 - 1\/2*r**2 - 9*r = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (18\/(-45))\/((-40)\/432700)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 14) to base 3.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2002102113?\nAnswer: 2002102130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**2\/2 - 8*w - 17. Let s be n(5). Let v be 23 + 4 + -1 + 15\/s. Calculate the highest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*q + 483*q = 507*q - 25215 - 50659 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -0.2, -2, 18\/25 in decreasing order.\nAnswer: 4, 1, 18\/25, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2077*x**6 + x**5 - 2900*x**3 - 17541214*x**2?\nAnswer: -249240*x**3 + 60*x**2 - 17400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-15) - (4 - (-155)\/(-25)). What is the second derivative of 4*k**5 - 4*k**5 - v*k**5 - 27*k + 4*k**5 wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2aa + -6?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1902, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/21 - 22\/(-6). Let t be (-14)\/(-4) + 2\/d. Let g be (-46)\/(-10) - 4\/(-10). Solve 3*m = -g*j + 14, -2*m + 4*j - 10 = -t*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 9307633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 1519279*a**3 - 1519280*a**3 + 560*a + 103*a**2 + 564 + 34*a**2 = 0. Calculate a.\nAnswer: -2, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22815*i**3 + i**2*m**3 + 2*i*m**3 - i*m + 1277*m wrt i.\nAnswer: -136890*i + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 4. Let u(q) = -16*q + 21. Determine 22*n(o) + 4*u(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5528200 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 61. Calculate the remainder when 24 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -520.4442 and -244784.1.\nAnswer: -245304.5442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6048)\/900)\/42)\/((-696)\/60).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1403 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**7\/42 + 137*b**5\/20 - 223*b**4\/12 + 69*b + 2. Find the third derivative of q(a) wrt a.\nAnswer: -60*a**2 + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230423471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 8.952782 decades in years?\nAnswer: 89.52782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13386712 + 16?\nAnswer: 13386728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**2 + 14*n - 14*n + (3*n + 4*n - 5*n)*(-2 + 2 - n) - 143*n**2 - 16 + 94*n**2 + 23*n**2.\nAnswer: -21*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 904*p - 6338. Calculate o(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.058 and -65282391?\nAnswer: 65282390.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -439101.\nAnswer: 2\/439101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + s**2 - s - 1. Let d(j) = 15*j**3 + 6*j**2 + 14*j - 6. Let g(z) = d(z) - 6*r(z). Find the second derivative of g(k) wrt k.\nAnswer: 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.30949l in millilitres?\nAnswer: 76309.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 3*z**2 + 3*z - 4. Let a be x(-4). Let c be ((-12)\/(-36))\/((-2)\/(-36)). Let m(j) = -j + 8*j**2 + 0 + c - 9*j**2. What is m(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3266 is divided by 218.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.048473 + -0.0688377895\nAnswer: -0.0203647895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 2 - 2 = 0. Suppose p = -t - 94 + 100. Let f be 1 + 1 + 0\/(-4). What is the highest common divisor of f and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, z: 3}. What is prob of sequence xz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 5. Let u be f(5). Suppose u = 2*o - p - 4*p + 142, -2*o - 2*p = 128. Let a = o + 134. Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*h + 309824, 5*a - 387310 = 18*h - 23*h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6599, 4, -4 in ascending order.\nAnswer: -4, 4, 6599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700850 and 13161?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.741 + 0.041. Let r = n - -8.7. Which is the smallest value? (a) -1 (b) 1\/5 (c) 1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -158, -363, -652?\n\"Answer: -42*t**2 + 5*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.464 - 61.2.\nAnswer: -135.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (176\/(-40))\/(7\/((-70)\/4)). Calculate the highest common factor of 352 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 4667 = -5027. What is the highest common factor of 135 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951540.\nAnswer: 2, 5, 17, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2124 - 6362\/3. Factor -5*a**2 - 19\/3*a + p.\nAnswer: -(3*a + 5)*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*n - 47, -53*o - 819*n + 203 = -818*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2 + 417*d + 207.\nAnswer: 3*(d + 69)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23816 and -3946?\nAnswer: -93977936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.03011 hours to nanoseconds.\nAnswer: 18108396000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -56*q**3 + 11*q**2 + 11. Let i(j) = -14*j**3 + 3*j**2 + 3. Let o be 1*(-2)\/(-8) + -14*23\/(-56). Give o*t(p) - 22*i(p).\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -16*d + 495*j - 499*j - 59, -5 = 2*d + j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33130 (base 5) to base 7\nAnswer: 6451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (6 - 0) - (2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 21. Let t be u(-14). Let j = t - 18. What is the remainder when 1\/(j\/249*1) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(2 + 2) - (-49 - -2) is divided by -2 - (-25)\/(3 - 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205358 is divided by 590.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - t = 2*t + 22, -3*k - 18 = -3*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + -1)*(-1 + 0). Solve i = -2*f + 3, -n*i + 5*f + 9 + 6 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11215832, -22431664, -33647496?\nAnswer: -44863328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*n**3 + 2*n**2 + 46*n + 4034 wrt n.\nAnswer: 36*n**2 + 4*n + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332.7 times -0.06939?\nAnswer: 92.476053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 888*x - 891*x. Suppose 4*l - 58783 = -2*i + 37335, 2*i - 48056 = -x*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133 and 494.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*k + 254 + 35, -3*k + 429 = 3*g. Suppose 124 = 2*m - k. Suppose -y - 55 = -m. Calculate the highest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24500*l**5 - 23849000*l**4 - 105178785*l**3 - 40975307*l**2 - 1106606*l - 7752 = 0. Calculate l.\nAnswer: -969, -4, -2\/5, -1\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000029894 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 + 4*n + 5. Let i(s) = -23*s**2 + 11*s + 14. Let z be -62 - -63 - (-1 + 1 - 16). Determine z*q(d) - 6*i(d).\nAnswer: 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**3 + a**2 - 5*a + 2. Let i(u) = -5*u**3 - 4*u**2 - 5*u. Let o(j) = -4*j**3 - 3*j**2 - 4*j. Let m(b) = 3*i(b) - 4*o(b). Give 5*m(c) + p(c).\nAnswer: c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 62. Let l be ((-18)\/(-15))\/((-9)\/(-11999940)). Let c be 0 + -1 - (a - l). What is c rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3572 - -3580. Suppose 3*v + 2*v - 30 = 0. Let o(q) = 5*q. Calculate the remainder when o(v) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/105, -2.3, 17, 2\/123, -6?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 762\/51 + -630 + 616. Factor 4\/17*y**2 + 0 + 2\/17*y**3 - v*y.\nAnswer: 2*y*(y - 2)*(y + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.00389852\nAnswer: -0.01169556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o + a - 33, -2*o + 2*a = -24. Suppose -3*s + o*s = 582. Suppose 99 - s = m. Solve -m*c = -5 - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153981, -307962, -461943, -615924, -769905, -923886?\nAnswer: -1077867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -33. Calculate the remainder when 37 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) -6727 (c) 2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 30054.39 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5894 and 15967.\nAnswer: 13444214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -7 + (-2 - -16). What is the greatest common divisor of c and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 12*l**2 - 14*l - 15. Let z be p(-13). Let t = z - -30. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -51*a + 57*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 6*b - 10. Let p be v(-6). Let k = -10 + p. Solve a - 4*y + k = 2*a, -2*a - 1 = -3*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/68 + (-1)\/(-153)*16.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1266, 2533, 3800, 5067?\n\"Answer: 1267*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 4)\/2*0\/(-4). Suppose x = 2*k - 4, 5*k - 646 + 146 = -5*w. Is w at least as big as 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 + -126. What is the second derivative of -23*d**2 - 2*d**5 + 64*d + 42*d**2 - j*d**2 wrt d?\nAnswer: -40*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:52 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449634766.\nAnswer: 2, 37, 1171, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5\/4, 2\/17, -4\/5, -3.3, 5 in increasing order.\nAnswer: -3.3, -4\/5, 2\/17, 5\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*q - 113*q - 133*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -96 (b) 5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673790.\nAnswer: 2, 3, 5, 11, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*g - 377*g + 322*g.\nAnswer: -661*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2430.0196 to the nearest integer.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(7623)*-2 + 3)**2.\nAnswer: -4752*sqrt(7) + 4390857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*u = 103*u + 4056975. What are the prime factors of u?\nAnswer: 13, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3336588\/7, 2.\nAnswer: -3336588\/7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - a**3 + 0*a**3 + (-3*a + 2*a + 2*a)*(a**2 - 2*a**2 + 0*a**2))*(-7*a - 22*a + 6*a).\nAnswer: 69*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -26. What is the remainder when 466\/14 - (-4)\/(-14) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5520\/(-828) + (-1840)\/(-15)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 662821491 or 662821492?\nAnswer: 662821491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 43 = 3*a - a - 13, 0 = -4*q - 5*a - 152 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 3100862\nAnswer: -27907758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.6 + 0.6. Let x = 8 + m. Let f = -5 + 4.7. What is the second biggest value in x, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495849768.\nAnswer: 2, 3, 53, 389819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 33. Let f(n) = -4*n + 100. What is -3*f(b) + 8*h(b)?\nAnswer: -4*b - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 933534 and 1395.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 61*x - 96. What is u(-34)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidjdildjccmici. Give prob of picking 2 i and 1 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9 + 160*r + 322*r + 10. Let s be p(4). Let c = -4429 + s. Round c to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/331880 and -19\/564196.\nAnswer: 5641960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000428944 rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/2 + 1874607*f - 18746045\/2 = 0. Calculate f.\nAnswer: 5, 3749209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(3\/5)*y*(y**(-6\/7)\/y)\/y)**44)**(-1\/72))**(-1\/7) assuming y is positive.\nAnswer: y**(-88\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 10. Is 2\/(2 - x) - -22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43, 91, 139, 187, 235?\n\"Answer: 48*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 468*b - 83. Let y(i) = -156*i + 31. What is -3*o(l) - 8*y(l)?\nAnswer: 9*l**2 - 156*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-21)*1*9. Let j be (-6 - -2) + 6 - h. Suppose 1 - w**2 + 8*w**2 + 0*w**2 + 12*w - j = 0. What is w?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -435 - -624. Let n = -3 + 44. Let o = 62 - n. What is the greatest common factor of i and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 7:20 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -270991*f**3 - 790*f**4 + 270991*f**3 + 1062 wrt f?\nAnswer: -3160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + cd67?\nAnswer: cd62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*w = 18, 5*d - 2*d + w - 11 = 0. Suppose -y - d*y + 72 = 0. Let j = y + -3. Solve 0*a + j = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 10265327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -15020200 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g, 0 = -5*x - g + 2*g + 241. Let q = 367 - x. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2 (b) -0.5 (c) 5 (d) 84 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*w - 5*a - 44, -4*w = -5*a - 43. Suppose 2*h - 42 = g, -h - 2*g = -w*g - 21. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 + 40*d**3 + 224*d**2 = 0. Calculate d.\nAnswer: -4, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/3 - 1)*1. Suppose -5 - 13 = j*x. Let d(q) = -q - 5. Let v be d(x). Solve -5*i + l - 15 = 5*l, 0 = -v*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -1 + 8 + 78 + -71 + -3\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19016, 19027, 19046, 19073, 19108, 19151?\n\"Answer: 4*f**2 - f + 19013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-134\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 7*z**2 + 10*z - 12. Suppose -2*t = -19 + 3. Let i be y(t). Suppose 4*a + w - 9 - 21 = 0, i*w = 3*a - 32. Let r(x) = x + 7. What is r(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let l(o) = -o - 1. Suppose 2*f + 5 = 21. Let w(u) = -2*u - 8. Let i(s) = f*l(s) - w(s). What is i(t(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3 + 8. Suppose s(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 + 0*j**3 - j**3 + 4*j**2 + j**3 - 4*j**2 + (0*j**2 + j**2 + j**2)*(-5807 + 87*j + 5807) to h*j**2 + b + l*j**3 + s*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*j - 3*j - 294 = -53*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -27*c**2 - 24*c + 6. Let w be j(8). Calculate the common denominator of 2431\/w + (-2)\/6 and 11\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -433 in 0, -23, -0.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -197 and 0.05?\nAnswer: 197.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81577 and 3395.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1695 divided by 339\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*y - 0*r + 5, 0 = -3*y + 4*r + 7. Find the common denominator of (-117)\/10 - y - 2 and 27\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 3*m**3 - 2*m**4 + (-2*m + 1 - 1)*(-3*m**3 + 0*m**3 + m**3) as g + d*m**3 + x*m**4 + h*m**2 + u*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 4536?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22156 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 413 - 411. Let u(o) = -4*o**2 + 9*o. What is u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 774320 to the nearest 1000.\nAnswer: 774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*l + 13*l + 1038. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9010 by -9010.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*t + 874 = 0, 10*i - t = 8*i + 1739. List the prime factors of i.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5, -5206 in decreasing order.\nAnswer: 18, -5, -5206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6512?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1906*x + 986 = 1978*x - 1105 - 1653 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 392080*f**2 - 784172*f - 392088.\nAnswer: 4*(f - 98022)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.17 and 0.09?\nAnswer: -0.1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/9 - 22028*a**3\/9 - 16924624*a**2\/3 + 56482040332*a\/9 + 56532792178\/9 = 0.\nAnswer: -5911, -1, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53809573\/22 + -2448139. Let l = -2825 + 575. Let k = a - l. What is the common denominator of k and 27\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 + -53. What is the units digit of (-4 - -4)\/(-1) - (0 - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/5))**(-2\/7)*((j\/j**(-6\/17))\/j)\/(j**18*j*j) assuming j is positive.\nAnswer: j**(-11894\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 16. Let k be f\/6*(-9)\/(-6). Suppose -k*j = -8 - 40. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose -4*b + 3*b + q - 53 = 0, l = -4*b + 3*q - 208. Let v = 1\/182 - -723\/910. Calculate the common denominator of b and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -219?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1121 - -1125. Solve -2*k - 3*g = -g - o, -2*g + 6 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 25 - 23. Find the second derivative of 323*x - 3*x**3 + o + 2*x**4 - 333*x + x**3 - 5*x**3 wrt x.\nAnswer: 24*x**2 - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 0*v)*(54*v**3 + 37*v**4 + 2 - 11*v**3 - 44*v**3).\nAnswer: -37*v**5 + v**4 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k + 2912 = 24*k. Suppose -r - k = -3*v, -v - 12*r = -10*r - 231. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 35*a**2 - 14*a - 5. Does 22 divide q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1032141.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35032 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: Multiply 119 and 0.00861.\nAnswer: 1.02459","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*o*q*y**2 - 3*o*q + o*y**2 - 151*q*y wrt y.\nAnswer: -46*o*q + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = -208 + 200 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*z = -15777 - 2824 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:53 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 123663104391 and 0.0913.\nAnswer: 123663104391.0913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6028*s**2 + 3*s - 2. Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2164*y**2 - 2170*y**2 + 4337*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/337 (b) 8 (c) -12 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1009744 by 30.\nAnswer: 504872\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(4114)*5 - sqrt(4114))\/(((sqrt(768)*-1 - sqrt(768) - sqrt(768)) + sqrt(12))\/sqrt(6)) + -1.\nAnswer: -319*sqrt(17)\/23 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147042.78 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = -2. Solve 0 = 2*u - u - c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 2*w**3 - w**3 + (-1 - 1 + 4)*(3*w**3 - 2*w**3 + 2*w**3) + (-3 + 3 + w**3)*(-2 + 3 - 2).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.2. Let t = -10.2 + 6.2. Which is the nearest to 0.1? (a) t (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3024560 and 27496.\nAnswer: 3024560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1.7. What is the nearest to -2 in -5, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 15*c**3 + 1075*c**2 - 3 - 1075*c**2 as u*c + y + g*c**3 + l*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 21*v + 66. Let i be f(18). Suppose 16 = -i*r + 4*r. What is the closest to -0.2 in r, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-7046)\/(-8) - (-3)\/12). Let x = 6596 + t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4)*(-12)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2171, -4365, -6563, -8771, -10995?\nAnswer: -13241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 848 - 453. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a66 - 1b?\nAnswer: -8a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/69, 1, 0.4, 119, -5, -0.4 in descending order.\nAnswer: 119, 1, 0.4, -2\/69, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2185 - 600. Suppose 0*o - 3*a - 1894 = -4*o, 4*o - 5*a - 1898 = 0. Let g = o + l. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30301223837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2157824, 2158142, 2158458, 2158772, 2159084, 2159394?\nAnswer: 2159702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {i: 3, x: 17}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9618, 19225, 28832, 38439, 48046, 57653?\nAnswer: 67260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14*c + 1020 = 0. Let o be (3 - c\/(-24))*(-4 + -13). Put -4, o, 3 in decreasing order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 61 = -4*h, 459*h - 457*h + 50 = -4*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {y: 2, v: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 31*(-345)\/(-1860)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3631*k - 150 = -3634*k + 4*w, -w = 39 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-1 - (-6 - -4)) + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3730 is divided by 819.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-30) + 39\/(-15))*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10742365 + 1103?\nAnswer: 10743470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejmr when four letters picked without replacement from {j: 3, r: 2, e: 2, m: 8}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-5)\/(-12)*156\/1300).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w = -12. Solve 0*r = -r + w*t - 9, -5*r - 5*t = -30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41717, 83437, 125157, 166877, 208597?\n\"Answer: 41720*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11400.0000012369 - -11400. What is s rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 + 107?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 10 - -1) + (-2 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z + 38*z**2 - 42 + 111 - 47.\nAnswer: 38*z**2 + 57*z + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79406953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 298997 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 28, 2\/19, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2194*d = -2564*d + 10730 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 16?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 31 = 4*h, 0*h + 33 = 5*o + 2*h. Let z(v) be the first derivative of -9*v**2\/2 + 439*v + 264. Let j be z(48). Sort -2, j, o in ascending order.\nAnswer: -2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5*x - 4376*u**4*x**2 - 2*u**2*x**2 + 28*u**2*x - 31*u**2 + 2*u wrt u?\nAnswer: 60*u**2*x - 105024*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45010, 45016, 45024, 45034, 45046, 45060, 45076?\nAnswer: 45094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16854.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 341740.4 micrograms?\nAnswer: 341.7404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 35 - 50)*(-3*s - 12*s - 21*s)*(-4 + 1 + 4) in the form v + t*s and give t.\nAnswer: 3276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -41494 less than or equal to -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15083085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v + 20 = 0. Let a(b) = 2680*b - 35 - 1347*b - 1348*b. What is the remainder when 119 is divided by a(v)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*b - 10 - 12, -2*b - 44 = -2*h. What are the prime factors of h*1\/(-6)*-9?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 3. Let d be o(4). Let t = 101 + -90. Let q(k) = -k**3 + 12*k**2 - 9*k - 26. Let u be q(t). Sort u, d, -5 in descending order.\nAnswer: d, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*t - 5*s, 14*t - 1 = 13*t - s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.95 + -2.764. Let p = n + 5.814. Let g = 15\/14 + -4\/7. Which is the closest to g? (a) -0.4 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 2*n + 20, 2*n = 0. Let b(i) = -i + 1. Let j be b(-2). Sort r, j, -1.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 22. Let v be 6\/10 + (-24)\/(-10). Let d(t) = 3. Let j(b) = v*u(b) - 21*d(b). Determine j(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18066.75736 rounded to the nearest one hundred?\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3)*(6*o + 0 + 0)*(-29*o**3 - 42*o**3 + 19*o**3) as d*o**3 + y + q*o + z*o**2 + x*o**4 and give x.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000939 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from xmxptxxi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 470129334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 1, i: 2, a: 5}. Give prob of sequence atsi.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 15) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i. Let q(c) = -2*c**2 + 9*c - 55. Calculate p(q(u)).\nAnswer: -10*u**2 + 45*u - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*w = -11, -z + 2*w = -2*w - 19. Let j(b) be the second derivative of 1\/6*b**z - 2*b - 1\/20*b**5 + 0*b**4 - 2*b**2 + 0. Determine j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 44*i + 4. Let a be u(22). Suppose -a*w + 26 = -130. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 168*f + 1620.\nAnswer: 4*(f - 27)*(f - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*r + 5*k, -2*r + k + 9 = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 21*f - i - 219, 4*f = -4*i + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 + 7*h + 11. Suppose -3*v + 3 + 0 = -3*d, 2*v + 5*d + 5 = 0. Suppose -4 = o - 5*k + 4, 2*k - 6 = v. Is g(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z - 9*z + 21*z in the form w*z + m and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 8)\/((-2)\/(-16)). Suppose -d = -3*k - k. Solve 3*m - h + 1 = -3, 0 = -5*m - 2*h - k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqqvqq. Give prob of sequence vq.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 2*a**2 + 5*a**2)*(9 - 33 - 3).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242451?\nAnswer: 3, 11, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104307387.\nAnswer: 229, 239, 20177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*s + 29, 5*w + 0*s - 52 = 3*s. Suppose -w = -5*o - 1. Solve -2*m - o - 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/8 + 45*t**3\/4.\nAnswer: -3*t**3*(t - 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2352\/(-546))\/28*4\/(-36)*-3\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-92 - (-21 + 6 + 20 + 1))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14669 (base 10) to base 5.\nAnswer: 432134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t**3 - 4*t**2 - t - 2. Let g(h) = -63*h**3 + 19*h**2 + 4*h + 8. Determine 2*g(v) + 9*p(v).\nAnswer: 18*v**3 + 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104478 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3054 (base 9) to base 5.\nAnswer: -32421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**2 + 4*j - 3. Let b be p(-2). Solve 3*g - 14 - 1 = b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 115?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2*q - 3*q + q) + q - 3*q + 0*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 48. Suppose -6*p + 2*p + 113 = -5*f, 0 = -3*f - 3. Let n(v) = v + 3. Let w be n(0). Solve c*d + 2 = 2*g, -5*g - w*d + 2*d = -p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) 0.4 (c) -1\/10 (d) -0.2 (e) -1\/11 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110312301 + 2133?\nAnswer: 110321100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**3 - 3*x**2 - 4*x - 2. Let n(o) = -o**3 - o**2 - o - 1. Determine -b(r) + 3*n(r).\nAnswer: 6*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 73*x**3 - 12*x**2 + 6*x - 2. Let j(b) = -b**3 + 2*b**2 - b. Give -5*j(o) - k(o).\nAnswer: -68*o**3 + 2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and -3.5948 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5 - -132.2.\nAnswer: 134.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 88 = -3*d. Let g = 12 + d. Calculate the remainder when 39\/4 + (-2)\/g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30926289, -30926291, -30926293, -30926295?\n\"Answer: -2*x - 30926287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -285 - 196. Let a = i + 479. Put a, 1, -0.8 in ascending order.\nAnswer: a, -0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**4*f + 807*b**4 + 21785*b*f wrt b?\nAnswer: 108*b**2*f + 9684*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -5)*21\/(-28). Find the first derivative of -76*w**3 + 76*w**k + 9*w**4 - 1 wrt w.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 5. Let i be r(-7). Suppose -2*f + i = f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/675 and -133\/128430.\nAnswer: 1926450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6386*y**5 - 2*y**2 - 1522*y + 4.\nAnswer: -127720*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 149*q**3 + 4*q**2 - 2 + 0*q**2 - 148*q**3 + 0*q. What is r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8202383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 4717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = 16*k - 15*k. Let t = k + -96. Suppose 0 = -6*q + 2*q + 4*y + t, 0 = -2*q - 4*y + 234. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.9791785 - -30.98. What is u rounded to 5 dps?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344\/5 + (-3340)\/1336*(-5)\/((-125)\/(-12)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -320653884.8 to the nearest 1000000.\nAnswer: -321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 11 (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:18 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((4 - 3) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011882?\nAnswer: 2, 3, 137, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c + 163. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1247, 1243, 1237, 1229, 1219, 1207?\n\"Answer: -p**2 - p + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -78 + -44 + -98 + -10.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -6. Let c(r) = 2*r + 4. Let w(l) = 13*l + 5 + 7*l**2 - 8*l**2 - 11*l. Calculate i*w(b) + 3*c(b).\nAnswer: 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -112?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60\/133? (a) -71\/7 (b) 15 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 40, -14, -1\/17, -0.1, -110?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-2 - sqrt(132) - sqrt(132))*6*-3)\/(sqrt(72)\/(sqrt(6) + sqrt(54)\/(sqrt(81) + sqrt(9)))).\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283245, -283243, -283241?\nAnswer: -283239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*b + 272 - 93 + 335*b - 89 - 90.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3340?\nAnswer: -1\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpdpqdppppdpdg. Give prob of sequence pqg.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Suppose 3*u + 4 = 1. Let z(i) = -11*i - 15. Let t = 15 - 23. Let b(f) = -34*f - 44. Let s(j) = t*z(j) + 3*b(j). What is u*s(n) - 12*r(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:04 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721079 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5 + (-2 + 0 + 1)*(-2 + 0 + 0) + (-3 + 6 - 5)*(0 + 3 + 0))*(5*v - 5*v + 5*v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 10\/27*l**3 + 8\/9*l**2 + 8\/9*l + 6 + 1\/18*l**4. Suppose t(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1 + (-6 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/60 and -43\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/6*906662\/1635. Let p = -924 + o. Let -2\/3*y**3 - 4\/9 + p*y**2 + 2\/3*y + 2\/9*y**4 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7.3. Let a = 9.1 + -9. Let i = a + 0. What is the second biggest value in 5, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)\/(-8 - -7)*2. What is the hundreds digit of -1 - (x + -4) - -252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-38)\/(-18)) + 555\/135. Let x(v) be the first derivative of 4\/33*v**3 + 0*v + 5\/22*v**i + 4 + 0*v**2. Suppose x(q) = 0. What is q?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + (-5 - (2\/(-1) + -4)). Let m be 0\/s - (2 - (-15)\/(-8)). Put m, -4.7, -2, -5 in descending order.\nAnswer: m, -2, -4.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minus 12?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-77)\/2)\/((-15)\/330) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = 3*s - 2, 0 = -4*s + 16. Suppose -z - u*z = -39. Let a = z + -7. Calculate the remainder when 16 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180400 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/72? (a) -1\/2 (b) -0.11 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/19, 41, -11\/303, 3 in descending order.\nAnswer: 41, 3, -11\/303, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**4 + i**3 - 1173*i**2 + 5936*i wrt i?\nAnswer: -48*i**2 + 6*i - 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 = 45. Let c be (r\/(-24))\/(1\/6). Suppose 6*p**c + p**2 - 4*p**2 - 3 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596324 is divided by 798160.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.28 - 2. Let z = -0.328 + d. What is z rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 11 + -47 + 32?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(-2*u**4 - 5*u**2 + 3*u**5 + 5*u**2).\nAnswer: -18*u**5 + 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-18)*((-22)\/9)\/(20\/(-180)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 - 8*m**3 + 4*m.\nAnswer: 4*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3340 divided by -219?\nAnswer: 3340\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11 = -2*h, 8 = h - 20*c + 15*c. What is the derivative of -117 + 9*l - 6*l - 10*l**3 + 5*l**h wrt l?\nAnswer: -15*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.583 + -20.583. Let y = 0.9 + 0.1. Let h = y + -0.7. Which is the third smallest value? (a) r (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8900 (b) -0.2 (c) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -118*m**4\/3 + 145*m**3 + 2353*m. What is the second derivative of p(g) wrt g?\nAnswer: -944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863810.8m to micrometers.\nAnswer: 863810800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -98*h + 1282. Determine u(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phppprrrpprhr. What is prob of sequence rrp?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 22 = 7. Let s(x) = -5*x - 5 + 4*x - x - 3*x + 4*x. Determine s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -26. Suppose -81 = -2*l - 5*b - o, 65 = 5*l - 2*b. Suppose -5*z = -0*z. Solve p = 3*m + 2 + l, m + 5 = z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 54 = 5*h - 8, 0 = 2*g - 8. Suppose -1 = 3*n - 22. What is the remainder when n is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 522535*f**3*x**2 + 279*f**3*x - f**2*x + 2*f**2 - 2*f - 9*x**2 - 774*x - 2 wrt f.\nAnswer: 3135210*x**2 + 1674*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -129\/27712 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + -0.6. Suppose -h - 16 = -0*h - 4*w, 3*h + 15 = w. What is the nearest to v in 3, h, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + p - 4, -4*a + 3*a - 2 = 2*p. Sort 0, -4, a in descending order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328272 is divided by 74.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4906*h - 24530. Determine p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (sqrt(24)*4)\/sqrt(12) + 3.\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a - 33. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(4)\/sqrt(2) - (sqrt(72) + 0).\nAnswer: -5*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14447343, -28894690, -43342037, -57789384, -72236731?\n\"Answer: -14447347*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458712, 917478, 1376244, 1835010, 2293776?\nAnswer: 2752542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, e: 1, q: 2, f: 2, z: 1}. What is prob of picking 1 q, 1 e, 1 z, and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/110)\/((-4)\/20)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 + 1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5*k - 5. Let n be z(-5). Suppose -c + n = -3*v + 6*v, 5*c = -5*v + 205. Let s = 55 - c. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44920 and 40428?\nAnswer: 404280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 369100 rounded to the nearest one thousand?\nAnswer: 369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*2\/(-3) + 355. What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 12. Let s be r(8). Solve 0 = 3*p + s + 2, -9 = -5*v - 3*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 102, 79, 56?\n\"Answer: -23*h + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 90241778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 423\/51*7344\/(-648)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + b**2 + b - 1. Suppose -3 = -w + 4*w. Let z(t) = -2*t - 1. Let i be z(w). Let f be s(i). Solve -5*p = -7 - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 165. Let v(t) = 2*t + 983. Let z(w) = 6*s(w) + v(w). Suppose -5*i = -2*i + 21. Calculate z(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12107, 24268, 36431, 48596, 60763, 72932?\n\"Answer: x**2 + 12158*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287001 and 3848757.\nAnswer: 7359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 4 = 2*c. Let q = 94 - 66. Let a = c + q. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*s + 75, 3*s = -3*w - 0*s + 45. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575829678 to the power of 1\/3, to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1906 - 7623\/4. Factor 12*w + 16 + 3*w**2 + j*w**3.\nAnswer: (w + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90365599 * 0.5.\nAnswer: 45182799.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnbnnbnnbbn.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854699440?\nAnswer: 2, 5, 11, 19, 110927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 6 = 3*w. Suppose w*n + 4*i + 0 = 36, -2*n + 36 = 2*i. Is 8\/(-36) - (-238)\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 4*y**2 - 4*y. Let x be p(-3). Which is the biggest value? (a) 2\/11 (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k - 17*k + 88*k + 113*k in the form i*k + c and give i.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206, 200, 194, 188, 182, 176?\n\"Answer: -6*u + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h - 19. What is m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6\/12 - 9*b**5\/2 + 83*b**4\/8 + 137*b**3\/6 - 87*b**2 + 86*b - 406. Determine x so that o(x) = 0.\nAnswer: -2, 1, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -41. List the prime factors of k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 59*l + 1. Let r(v) = 56*v + 1. Give -6*r(w) + 5*t(w).\nAnswer: -41*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19322 + -19075. Calculate the highest common divisor of i and 9633.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.1. Let v = 90 + -88. Let s = 5.206 + -0.206. Which is the closest to p? (a) s (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - r + 4 - 7)*(4*r**2 - r**2 - 8*r**2 + (-2*r - 2*r + 2*r)*(-r + 0*r + 2*r)) in the form d*r**2 + p*r**3 + a + k*r and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 385.5095ml in litres?\nAnswer: 0.3855095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = m - 8, -5*m - 4 = 3*x. Suppose 0 = x*c + a - 1323, 2*c - 9*a + 4*a - 1293 = 0. What is c rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 3, 7.\nAnswer: 0, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.34, -3828.2, 0.4, 1?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5940948 - -8479565. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1238455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261696814.\nAnswer: 2, 317, 412771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/12)\/((l\/((l\/l**(-1\/9))\/l)*l)\/l)*(l**(2\/3))**(-3\/4))\/((l*l**(-2)\/l)**(-25))**34 assuming l is positive.\nAnswer: l**(-61247\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*b = 47*b + 72. Solve 2*t - b = -4*r, -3*t - 7*r + 5 = -5*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4105779 divided by 5217.\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236 and 6.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 70*q**2 + 15*q - 15. Let c(d) = 4*d - 11 + 10*d**2 - 19 + 28 - 2*d. Give -15*c(p) + 2*s(p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 11:33 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 10 = 4*l + 14, 3*v - 32 = -4*l for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36558.1 and 3.\nAnswer: 36561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (-81)\/(-2) - 408\/272.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3 - 3*n + 12*n.\nAnswer: 9*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3, 3*j + 3*z = 10 - 1. Suppose 5*x = -4*u + 128, u = 5*x + j*u - 126. Solve -4*b = -2*p + x, -2*p + 5*b + 15 + 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7227 (b) 1\/4 (c) 0.5 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -15*y**5\/2 - 9745*y**4\/4 - 17745*y**3\/4 + 1620*y**2 + 1615*y = 0.\nAnswer: -323, -2, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose -z + 3*k + 4 = 0, -z - 4*k - 4 = -x*z. What is the tens digit of z - (0 - -5)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02870243 to 4 decimal places.\nAnswer: -0.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (-1 + sqrt(7)*-2 - sqrt(7)) + 5)**2 + -6*((sqrt(567) + sqrt(567)*1)*-1 + (sqrt(567) - ((sqrt(567) + 0)**2 + 4))).\nAnswer: -162*sqrt(7) + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 + -10 + (-86)\/(-1). Let g = -11 - i. Let a be g\/(-45) - (-8)\/(-36). Solve -x = a*v + 15, -3*v - x = -5*x - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 223*z + 1664. What is y(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 24*b. Let r(v) = -98*v. Determine z(r(i)).\nAnswer: -2352*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -25*y + 56 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10232.7 - -7479405.\nAnswer: 7489637.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000010101 - -1?\nAnswer: -101000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/59 and -22\/531?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14378033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -t + 13, 3*t - 18*q - 12*q + 177 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406585*t + 1185 = 406822*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(((c\/c**(-3))\/c)\/c)\/c)\/c*c)**23\/(c**(4\/5)\/c)**(-18))**(5\/6) assuming c is positive.\nAnswer: c**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -0.0523?\nAnswer: -0.0523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -527 + 531. Suppose 2*p - 3 = m, 0 = n*m - 3*p + 1 + 6. Let y = 6 - 4. Which is the smallest value? (a) y (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((0 + -5 - 2) + 19 + -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 2*b - 8. Let y be h(4). Let q be -2*(-1 - -4 - (-52)\/y). Determine j, given that -1 + 3\/2*j - q*j**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 7*o**3 + 16*o + 8*o**3 + o**3 + 1 - 4*o**3 - 2*o**4 - 27*o to h + v*o**4 + d*o**3 + y*o + u*o**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 6) + 6 - 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.018, 446, 5, 3, 1.2?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/2 - (-91)\/2 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*m = 14 + 2, -4*c - 3*m - 2 = 0. Let r(t) = 30*t + 2. Let i be r(c). List the prime factors of (-4)\/18 + i\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4, 16*q + v = 11*q - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.92451 rounded to 1 decimal place?\nAnswer: 87.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 139 + 21 = -280 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 848, 849, 850, 851?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*k = -65, 4*k = 5*n - k - 75. Suppose -3*t - n = -10*t. Solve -2*m + t - 12 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6203 = -v - 102, 5*q + 24395 = 4*v. What is v rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -102, -233, -418?\n\"Answer: -27*s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8000 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 15746, -6 in decreasing order.\nAnswer: 15746, 5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*r = -5, 4*r = -3*a + 6*r - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 0.02.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18270 and 22\/697095?\nAnswer: 40431510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 31*o**6\/60 + 17*o**5\/20 - 4*o**2 + 3*o. Find the third derivative of w(q) wrt q.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**5 - 1\/24*z**4 + 7\/6*z**3 + 0*z**7 - 15*z + 0*z**6 - 3*z**2 + 0 - 71\/336*z**8. Find the second derivative of i(v) wrt v.\nAnswer: -1420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t**3 + 2*t**2 - 9*t + 12. Let a be j(4). Let p = a - -985. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/8, -2840, 2\/13, 3, -0.4, 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26120 (base 7) to base 10\nAnswer: -6923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - u)*(-11 - 2 - 1) + (-4*u + 5*u - 2*u)*(0 - 2 + 1) + 2*u - u - 3*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d. Let r(w) be the second derivative of -5*w**3\/6 + w. Let o(p) = -4*l(p) - 11*r(p). Let u(y) = -y. Calculate u(o(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 16425780.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:23 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*p = -48 - 132, 0 = 3*k + 3*p - 117. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/14*(-4)\/(-4)*44\/(-286)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -68, -153, -276, -437, -636?\nAnswer: -873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 5 (c) -1\/2 (d) 0.047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c0a41 (base 14) in base 5?\nAnswer: -2324202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 175063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 29*t - 25. Let x be m(12). Calculate the greatest common divisor of 140 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12846 + -12848. What is the fourth biggest value in l, -40, 0.1, -1.2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 12. Suppose -3*b - k = 7, b - 5*k - 1 = -q*k. Sort 4, 2, b in decreasing order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*i + 195*i - x = 229, 3*i + x = 227. Solve 95*c + i = 114*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -194*o**6\/5 + o**3\/3 - 27*o**2\/2 - 159*o. Find the second derivative of f(i) wrt i.\nAnswer: -13968*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*w - 15, m - 2*w + 3 = -3*w. Suppose 5*h + 47 + 33 = m. Let t = 37 + h. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 39 (c) 4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 - 27792*p**3 - 48274704*p**2 = 0 for p.\nAnswer: -3474, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnfnfhhnn. What is prob of sequence hf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -0.37.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24212692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, -3\/76, 1, 1\/4?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1782 + -1131. Suppose 9*q - 1875 = -c. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448) + -2 - ((0 + sqrt(448))*1 - sqrt(448)))**2*-5 + ((2 + 2 + (sqrt(448) - (sqrt(448) + -1)))*6)**2.\nAnswer: -8080 + 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9970*y**5 + 5*y**2 + 160*y - 2 wrt y?\nAnswer: 598200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2796185 is divided by 1041.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/70 - 1\/(-5)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -0.129, -0.2, 4?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3081317 or -3\/8?\nAnswer: 3081317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10111100111000?\nAnswer: 10111100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4469 = 977. Suppose 6597 = 3*h + m. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 10*f**2 + 7*f - 8. Let s be o(-9). Let v be (15\/s)\/((-1)\/6). Let h = 7 - v. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 17*q.\nAnswer: -q*(q - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/70*-65*(-20)\/13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113.6 + 114. Which is the nearest to 1? (a) -0.1 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*s - s + 44*s + 2 + s - 2 + 2*s - 2*s - s - s + s + 2*s + (-4*s + 0*s + 5*s)*(3 + 0 - 2) + 0*s + s + s - s + 5*s - 3*s to w + d*s and give d.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 40 = -4*n, -n - 22 = -3*n + 4*k. Solve -4*r + n = 3*s - 22, r - 19 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497184 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -331*i + 1002. Calculate p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -60*(9\/(-3) + (-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -299*i. Let g(a) be the first derivative of -2*a**3 + 709. Give g(y(s)).\nAnswer: -536406*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2\/7*u - 12\/7*u**2 - 18\/7*u**3 + 0 - 8\/7*u**4 = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 897 or 899?\nAnswer: 897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 2*y. Let z be s(5). Let i be 9\/(-45) + 118\/(-10). Let f be 8\/(12\/(-3)) - i. Calculate the greatest common divisor of z and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 11 - 2 - 10. Calculate g(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4238 and 702.\nAnswer: 114426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049625 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 194 = 5*p - 4*r, 3*r - 9 = 0. Let n be ((-32)\/p)\/(-1*3\/60). Solve 2*o - 2*m = 0, 0 = -2*o + 3*m - 5*m - n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 0*m**2 + 6*m**2)*(2*m + 2*m - 3*m) + 2*m**3 - m + 3*m**2 + m + 2*m**3 - 2*m**3 + m**3.\nAnswer: 6*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3 + 6 - 1 - 3. Let o(v) = v**2 + v + 1. Let z(t) = -5*t**2 - 6*t - 3. Let j(x) = -6*o(x) - z(x). What is 3*h(k) - j(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683, -2952, -6801, -12230?\nAnswer: -19239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14430 + -14426. Solve -c*n = 2*s, -14*n - 4*s - 12 = -18*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 199*c - 233. Is o(56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 14028, 4 in ascending order.\nAnswer: -8, 4, 14028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -102. Let x = z + 81. What is the tens digit of (15\/(-6) - -3)*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/1*(-35)\/(-1). What is the highest common factor of g and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4945 and 345.\nAnswer: 14835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60187303\/78792 + -8\/9849. Is q equal to 765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - -3 - (188 + -161 - (47 - 13))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -833 + 2991. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64360 and 45052?\nAnswer: 450520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 24100?\nAnswer: -24077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 12*d + 7*d)*(-4*d + 0*d + 6*d)*(79*d**3 + 62*d**3 - 160*d**3).\nAnswer: 342*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 + 48*g**3 - 332*g**2 + 528*g - 242 = 0. Calculate g.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ueluuueeee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 284?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 4\/3 (b) 3 (c) 2\/7 (d) 2 (e) 10\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000388436129 to 6 dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -758237 smaller than -758240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/((-3)\/(-12) + (-3)\/28). Let t = q + -2385\/11. What is the closest to -1 in t, -0.9, -0.3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100935907 or 100935895?\nAnswer: 100935895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t**4 - 6*t**3 + 57*t**2 - 4.\nAnswer: -72*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/82 + -277\/4182. Is p < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10353*j. Let k be x(-8). Let l = -242824 + k. Round l to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 7*g**3 + g + 3*g**3 to n*g**3 + d*g**2 + p + f*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-1 - 2 + 2)*(4 - 4 + 3*x) - 4*x - 2*x - x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 688051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 5*b**2 + 7*b + 3. Let t be y(4). Let p = 73 - t. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 435*s**2 - 3*s - 2. Let w be r(11). What is w rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + t - 1583 = 0, 1565 = 5*o - 2*t - 1077. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2947 + 5743. Calculate the remainder when m is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = 4. Let q = 38 + -38. Which is the nearest to q? (a) -1\/2 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)\/(sqrt(63)*1))\/(-6*sqrt(6)\/sqrt(2)*4))**2.\nAnswer: 11\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17585090 divided by 17585090\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 13. Let a(c) = 6*c**2 + 13*c**o - 20*c**2. Let t(q) = q**3 + 4*q**2 + q - 4. Let z be t(-3). Determine a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 3*t + 4. Let z be q(5). Let a(g) = -2*g - 7. Let n be a(z). Sort -0.1, n, -2 in ascending order.\nAnswer: -2, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1499717+0.3\nAnswer: -1499716.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 88*u**2 - 5*u + 18. Let r be j(2). Calculate the highest common factor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/5 and -548 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4753*x**4 - 3023*x?\nAnswer: 57036*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 1121 - 57. Suppose -3*q = -4*d - s, 4*q = 5*q + 2*d - 31. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q + 7. Let r(u) = 7*u + 3. Let s(p) = -6*d(p) + 14*r(p). Let g(l) = -119*l**2. Determine g(s(v)).\nAnswer: -476*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 261*d**2 - 7943*d + 51075.\nAnswer: -(d - 227)*(d - 25)*(d - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -35. Suppose -3*u + 33 = -12. What is the remainder when i is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjggjijiiiiijgg. What is prob of picking 3 j?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + -1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/590 and -19\/472.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 27*b**2 - b - 3. Let o be v(2). Let p = o - 451. Let n be p\/(-22) + 2\/11. Solve 2*h + n = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -709.215 rounded to the nearest integer?\nAnswer: -709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/16 and 28\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 3, j: 3}. Give prob of sequence mn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 35*(57\/(-21) + 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*i + 1111 - 775 + 2876 = 0 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 18 + 26)*(-3 + 3 + 2*o**2)*(-2*o - 3 + 3).\nAnswer: -180*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 8. Let f be l(-7). What is the common denominator of -9 + f - 206\/(-18) and 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 8\/14*(-28)\/8. Let b(c) = c**3 - 6*c**2 - 5*c - 8. Let f be b(7). Put g, f, 3 in increasing order.\nAnswer: g, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 + 4*q**2 + 3*q + 3. Let o(t) = -6*t**3 - 7*t**2 - 5*t - 5. What is -10*i(h) - 6*o(h)?\nAnswer: 6*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from akpawpplllp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 15 = 7*p. Let b(d) = d**3 - 3*d**2 + 3. What is the units digit of b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1051520 + 43?\nAnswer: -1051433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-25))**(-3\/28) assuming c is positive.\nAnswer: c**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 divided by -22?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -23) + (18 - 37 - -15) + (0 - -4)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2106592 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -4, -13, -26, -43, -64?\n\"Answer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z - 19. Let q(o) = o**3 + 5*o**2 - 6*o - 4. Let p be q(-6). What is the biggest value in p, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -2\/9, -0.13, 7, -2\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1220256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -909\/2 + 453. Let i = 143\/2 - 72. Which is the closest to 0.3? (a) -2\/7 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from jigieogj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -935.5 and -1?\nAnswer: 934.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -1164. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1684)\/(-8))\/((-1)\/(-2)). Let g = -178 + d. Suppose 5*j + 4*i - 3*i = 397, i = 3*j - g. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + g + 11, -5*b = 5*g - 0*g - 20. Let o(w) = w**2 - 3*w - 4. Let q be o(4). Solve q = -4*r + 5*r + b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344 + -128. Suppose 0 = 25*t - p + 66. Solve -2*u + 40 = t*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/5 and (2\/(-5))\/(64\/1480)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-2)\/(30\/9*-1)). Let d = -7 - -13. Let j = 2 + 1. Sort j, z, d in increasing order.\nAnswer: z, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-40) - (-1)\/10. Which is the third smallest value? (a) 2 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from mzmmmmmkmmaamz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 271.53 - -5.0835\nAnswer: 276.6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69060 and 5.\nAnswer: 69060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 24\/(-15))\/(0 + (-77)\/(-55)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkyj when four letters picked without replacement from slllhhykyhjj.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -1. Let q(x) = -2*x - 7. Let g(d) = -1. Let k(b) = -5*g(b) + q(b). Let n(i) = 2*i + 2. Determine o*k(v) - 2*n(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/189 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Let d(h) = -5 + 5 + s*h - 2. Let k(a) = -a. Give -d(v) - 6*k(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 22*b + 3. Let u be j(-4). Let s = -141 - u. What is the tens digit of (s\/(-12))\/(6\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 28, 80, 170, 310, 512, 788?\n\"Answer: 2*j**3 + j**2 + 9*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.36604ml in litres?\nAnswer: 0.05336604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6)*h**5)\/((h*h**0)\/h**(-3\/8)))\/((h*h**0)**(-3\/8))**(6\/11) assuming h is positive.\nAnswer: h**(-103\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**3 + d**2 - d - 1. Let f be i(-1). Let z(t) = 4*t - 16. Calculate the remainder when z(f) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 129. Let y(r) = -2*r - 130. Calculate 3*o(g) + 2*y(g).\nAnswer: -g + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6997 + 7031. Which is the nearest to m? (a) -6 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + k + 3*k**2 - k)*(-2*k + 2*k**2 + 8*k + 3*k) in the form h*k + t*k**2 + a*k**3 + z + r*k**4 and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 20*q**2 - 2*q - 25. Let r(y) = -6*y - 87. Calculate the least common multiple of c(-20) and r(-18).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6683 and 35\/11?\nAnswer: 73513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 1, -2 in decreasing order.\nAnswer: 12, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 9 + 148 - 1 = -8*j - 104, 3*q - 5*j = -30 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*d - 14*d + 99*d - 190896. Calculate the least common multiple of 33 and d.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 2. Suppose -k + 2 = -4*t. Solve 3*y = -4*o - 11, 0 = -0*y - 4*y + t*o + 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*r - 2 = 0, 0 + 3 = -3*s + 3*r. Find the third derivative of -k**4 - 4*k**4 + 2*k**4 - 42*k**s wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1177056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197872960, -197872959, -197872956, -197872951, -197872944, -197872935, -197872924?\nAnswer: -197872911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 117*o**3 - 39 - 65*o**3.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 7}. Give prob of sequence ee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnlflnlonxllxnlun. Give prob of picking 1 l, 1 n, and 1 f.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*m**3*v**3*y - 3*m**3*v**3 + 5*m**3*v**2 + 5*m**2*v**2 + 2*m**2*y - v*y wrt v?\nAnswer: 318*m**3*y - 18*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4 = 5*p, -104*p = -2*f - 108*p + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 778 - 762. Solve -h*b + 9 = -13*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lak when three letters picked without replacement from {a: 1, k: 1, l: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -10*z + 11*z. Let x = z + 97. Is 6 a factor of (-55)\/(-3) - x\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157927588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 163425160 to the nearest one million.\nAnswer: 163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:14 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - -4*sqrt(275))*-6 - (sqrt(275) + sqrt(275) + 0 + sqrt(275))*6)**2 + (-1 + (sqrt(99)*-2)\/sqrt(9) - (-1 + sqrt(11))**2*-6*-6).\nAnswer: 70*sqrt(11) + 633167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*((-3)\/3)\/(101\/1010)*11\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 0. Let b = -9 - -33. Let k be (-2)\/b - 1\/4. Do f and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279882356 and 1118.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 0, -2*j + 18 = 6*m - 2*m. Let b = m - 6. Let a(w) = -w. Let v(g) = -5*g - 6. Let c(k) = -4*a(k) + v(k). Calculate c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -815.7 - -816. Which is the smallest value? (a) q (b) 0.2 (c) -2\/187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80473\/10, 2\/9, 0.06 in descending order.\nAnswer: 2\/9, 0.06, -80473\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(sqrt(1377) + 0) - ((2 + sqrt(1377) + (sqrt(1377) - (-1*sqrt(1377) - sqrt(1377))) + sqrt(1377))**2 - 2*(sqrt(1377) + 1 + sqrt(1377))).\nAnswer: -34427 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 155905 (base 13) to base 15\nAnswer: a6074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2895 is divided by 172?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 7 (c) 3\/5 (d) 0.4 (e) -0.2 (f) 0.134 (g) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**9\/10584 - r**8\/5880 + r**7\/1470 + 5*r**3\/2 - 26*r. Let f(g) be the second derivative of a(g). Factor f(b).\nAnswer: -2*b**3*(b - 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:45 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/(-6) - (-4 - 20\/(-6)). Suppose x + 3*x = -y, -s - 5*x = 7. Suppose f = 5*l + 6 + 2, 5*l = 3*f - 14. Solve -s = -2*r, -r - f = -4*n + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 31 = 2*n, 2*h + 2*n = -3 + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + s - 103 = 0, -31*b + 30*b + 5*s = -52. Calculate the remainder when 311 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h**3 + 7 - 1 - 12*h**3 - 6 - 298*h to r + x*h**3 + c*h + z*h**2 and give c.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -306. Let o = x + 264. Which is smaller: 12\/31 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3499*m - 2323*m + 17698 + 23462 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01263379 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**4\/4 - 2*x**3 - 7*x**2\/2 + 4*x + 1. Let c be i(7). Solve -2*p - 8 = 5*n, 5*p - n - 3 = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 = 3*x, 4*u + 15 + 3 = -2*x. What is the tens digit of (u\/6)\/((-1)\/57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 13*z**3 + 12*z**3.\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -559999*f**5\/60 - 5*f**4\/24 - f**3 + 27*f**2. Let g be l(-1). What is g rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460 + 82*t**2 + 221 + 239.\nAnswer: 82*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from uuuuuuggguguuugu?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7162*g**3 + 11 - 3510*g**3 - 2977*g**3)*(2*g + 4 - 4).\nAnswer: 1350*g**4 + 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 305844 and 84?\nAnswer: 305844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366 or 0?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 14, 0.5, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.1 (b) -0.07 (c) 2\/7 (d) -842 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b - 8*b**2 + 3 + b**3 + 16*b + 2. Give h(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43453384 and 8.6.\nAnswer: 43453392.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/6)\/(c\/(c*c*c*c\/(((c*(c\/c**(-6\/13))\/c)\/c)\/c)*c*c*c)))\/(c**(-9))**(-20) assuming c is positive.\nAnswer: c**(-13465\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116463 by 12.\nAnswer: 38821\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/(-296) + (1\/(-8) - (-105)\/6840*-6)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 187. Calculate g(-37).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/168 - ((-53)\/165 - 310\/25575).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, k: 1, a: 8}. What is prob of picking 1 a and 1 k?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k. Give r(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4 + 28*k**2 - 27*k**2 - 2 + 11*k. Let u be v(-12). Let a(p) = p**3 - 8*p**2 + 8*p + 4. Give a(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 287796243.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k - 6. Let s = 0 + 0. Factor k*w + s - 1 - w**2 + 0.\nAnswer: -(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (76 + (-5 - -1))) + 230 + -214?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26038 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 170 is divided by 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.48981321 - -1.49. What is u rounded to 6 dps?\nAnswer: 0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 37. Let f = 35 - a. Suppose -3*b - 22 = -118. What is the remainder when b is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3272500 to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g, f - 4*f - g = -9. Suppose -o - 6 = -f*v, -1 = -v - 2*o + 2. Suppose -2*x = 2*k - 3*x + 5, -5*x = k - v. Put 0, 2, k in ascending order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 60 + 245)*(-2*j + 4*j + j)*(-2 + 4 - 4).\nAnswer: -1986*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 14 = -2*y, 0 = y - 4*y - p + 38. Is 7 a factor of (9 - y) + 1*31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 203\/(-28). Suppose 3*b + r = 19, -y - 2*b = 0. Let u(t) = t**2 + 6*t + 5. What is the tens digit of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144623077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 26*u + 63 = -5*p, 0 = 4*p. Sort u, 0, -15.\nAnswer: u, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 4, 854.7?\nAnswer: 854.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-3 + 7 + 2)*(-3*q + 2*q + 2*q)*(520 + 45*q - 520).\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 541 - 518. Suppose -4*p - 1 = -7*p + 5*y, 5*p + 4*y + t = 0. What is the third biggest value in -2\/3, p, 1\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 20, -1\/24, -2\/15, -8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 52, 14, 7 in increasing order.\nAnswer: 0, 7, 14, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 4*s + 1. Let a = -6 - -8. Let k(h) = h + a*h - 3*h**2 + h**3 - 4 - 4*h + 4*h. Let r be k(3). Calculate t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350892179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 364425, 728844, 1093263, 1457682, 1822101?\n\"Answer: 364419*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741657219 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 66.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/4697406 and -40\/118881?\nAnswer: 173804022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 2080.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 2*q + 6, -4*q + 6 = 5*g. Let b be (-24)\/(-9) + g\/6. Suppose p - 1 - 3 = 0, 23 = j + b*p. What is the remainder when 21 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - a + 2. Let k be o(2). Let u = -2 - k. Solve u*c + 3*c = 2*g - 11, 4*g + 3*c - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121366700?\nAnswer: 2, 5, 7, 13, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g, -5*h + 20 = 3*g. Suppose 0 = h*c - 75 - 53. Let k = 51 - c. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + t - 8 = -3*t, -3*t + 6 = 5*o. Suppose -5*d = -o - 5. Suppose -h = -3 + d. Solve -5*s = w - h*s, 5*w + 3*s - 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1007*g - 12085. Let r be v(-12). Sort 43, 4, r, 5, 3 in ascending order.\nAnswer: r, 3, 4, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4321 is divided by 2078?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/60 - c**4\/12 - c**3\/2 - 131*c**2. Let d(a) = 2*a + 2*a**2 - 2*a - 3*a**2. Suppose s + 4 = 3*s. Give s*d(p) - x(p).\nAnswer: -p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -48*-3*3\/9. Suppose 0 - x = -u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16143183400 rounded to the nearest 1000000?\nAnswer: 16143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 + 84015*x - 34406000 = 0 for x.\nAnswer: -17203, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**3)*a*(a\/a**(1\/8))\/a)**35 assuming a is positive.\nAnswer: a**(-595\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17250*y + 65448 = 15432*y for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -5\/6*y**3 + 0 + 28*y**2 + 1\/8*y**4 + 0*y. Give p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {i: 5, x: 2, f: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.524 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*f + 2 = -0, -2*f = 4*o - 12. Is 14 a factor of (-21)\/(-28) + 165\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 986539296 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + a - 9. Let j(u) = -2*u**2 - 10. Let l(f) = 4*j(f) - 5*n(f). Let s(d) be the first derivative of l(d). What is the derivative of s(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123 (base 4) to base 10.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48612 is divided by 48495.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 33*t**3 + 7*t**2 + 33*t - 33. Is n(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 41. Let k be (-138)\/(-36) + 2\/(-12)*v. Solve -5 - k = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, n: 11}. Give prob of sequence kkk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.32 bigger than -1\/953318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Suppose -38 = -2*i - 15*j + 19*j, 5*i - 5*j - 85 = 0. Let r(s) = -5*s**3 - 5*s**2 + 15*s. Let a(q) = i*u(q) - r(q). Factor a(o).\nAnswer: 5*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.505 to the nearest integer.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -t + 11, -5*m + 154 = 16*t + 116 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30227 and 3607873.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 9*u**2 + 9*u + 3. Let y be w(10). Let v(h) = -4*h + 4. Let m be v(y). Solve -i + 3*q - 7*q = 12, -5*i + 3*q = -m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66\/7, -0.5, 1\/5, -1\/12.\nAnswer: -0.5, -1\/12, 1\/5, 66\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.39778l to millilitres.\nAnswer: 98397.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5149\/92 (b) 2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + -2 + 21 + -2 + -33?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(270)\/(sqrt(12)\/sqrt(2)))\/(sqrt(9) + sqrt(1296)).\nAnswer: 2*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 172236*m**2\/11 + 2066616*m\/11 + 6199632\/11.\nAnswer: 2*(m + 6)**2*(m + 86106)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696692 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = -16341 - 37559. Is 1102 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 - -13203?\nAnswer: 20123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(143) + sqrt(143)))\/sqrt(11).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.9 - -57. Round s to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450 divided by 309?\nAnswer: 1450\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 289*o + 294*o + 15, 6*o = 15*n - 18 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*t**2 + 20*t - 20*t)*(-2 + 2*t + 2)*(t + t - 4*t) - 2*t**4 - 15*t**4 - 5*t**4 to the form n*t + l*t**3 + w + m*t**2 + d*t**4 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156204453.\nAnswer: 3, 19, 47, 199, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 82, 123, 162?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/19)\/f*f)**15*f\/(f\/((f\/f**30)\/f*f))*f\/f**(4\/5))**49 assuming f is positive.\nAnswer: f**(-145089\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/26062 - 52903\/20302298. Let r = q + 1604\/17917. What is the second biggest value in 1, -8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.357 - -32.443. Let b = q + -40.8. What is the third smallest value in b, -0.2, -1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62162357 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))\/((r\/(r\/((r**(3\/14)\/r)\/r)))\/r) assuming r is positive.\nAnswer: r**(39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02862721 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*j + j - 6, 5*j + 15 = 0. Let d be (-1 + 366\/390)*(-60)\/8. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 - 4917267 + 4917267.\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -21. Let w(n) = -n - 18. Let y be w(-25). Let b be y - (-2)\/10*0. Solve b = -4*u - t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -335 - -318. Is -13 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**7\/420 + u**6\/60 - u**5\/20 + u**4\/12 + u**3\/6 + u. Let t(o) be the second derivative of g(o). Factor t(x).\nAnswer: -2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4 times -0.032?\nAnswer: 0.8768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 383 + -382. Let m(u) = 33*u**3 + u**2 - u. Calculate m(r).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*o + 8. Suppose 2*c = 5*m - 113 - 178, -3*c + 162 = o*m. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565213?\nAnswer: 11, 51383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1180 and 79\/180.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.002, -1, -0.4, -1\/3?\nAnswer: 3.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -36. Suppose -89 = -3*i + 5*b, 3*i - b + r*b - 101 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6755, 13502, 20239, 26966, 33683, 40390?\nAnswer: 47087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 + 3*k - k**4 + (4 - 2 - 4)*(2*k**4 - 3*k**4 - 2*k**4) - 12*k**4 + 23*k**4 + 11*k**4.\nAnswer: 27*k**4 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x, 4*c - 2*x + 81 = 1733. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 24*c**2 + 40*c + 120. Let s(j) = j**2 + j + 3. Let q(y) = -40*s(y) + w(y). Let t(v) = -2*v + 0*v - v. What is q(t(d))?\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21.8 * 0.1\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-390)\/(-4)))\/(12\/(-40))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k*k**(-4\/7)*k)\/k)\/(k*k**11))\/((k\/(k\/k**(-17)))\/k**(-9)))**(-42\/11) assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 5*u. Let b(q) = 0*q**2 + 5*q**2 - 5 + 5 - 10*q. Let k(a) = -2*b(a) + 5*g(a). Determine v, given that k(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29440761, 29440760, 29440759?\nAnswer: 29440758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 5:48 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 10:25 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*l + 6*k - k, -4*k = 4. Suppose -l*u + 29 = 5*v, -3*u - 1 + 2 = -v. Suppose 6*f - f + 10 = 5*c, v*c - 22 = f. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -6)*(2 - 3). Let h(q) = 1 + 3*q - 7*q + 0 + d. Let w = 139 - 137. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88089 is divided by 351.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.99557ml in litres?\nAnswer: 0.04999557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n. Let c(t) = -2250 + 2250 + 7*t. Give z(c(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2468*g = 2420*g - 912 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 15. Solve u - x = 0, 2*u + 4 - 7 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.57 + -14.57. Which is the nearest to -1? (a) 0.21 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 109 + 27 - 45*k + 30 + 27.\nAnswer: -45*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-16)\/10) + 0\/(-3). What is the nearest to -2 in p, -4, 9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/((198\/(-12))\/(-11)). Solve 8*g = 3*g + 4*h + k, g = -4*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, i: 1, w: 1, r: 1}. What is prob of picking 1 x, 1 r, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -221+-1152787\nAnswer: -1153008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -4, 4, 5.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 60644 = -4*w - 0*r, -30324 = 2*w + r. Let m be (w\/12 + 0)*(55 - -5). What is m rounded to the nearest 1000?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -54. List the prime factors of (-4 - m) + 2 - -35.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from xxfxfx?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 1, c: 1}. What is prob of sequence fc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0, -0.048, -1, -4955, -52?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 52*x - 141. What is the thousands digit of k(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16 - 1 = 5*z - 0*n, -55*n = -59*n - 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402 + -891. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/(-222)*12\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117) + sqrt(117) + 1 + -3) + 0)**2.\nAnswer: -864*sqrt(13) + 16992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w + 4*i + 4, -2*i = -3*w + 13. Let p be 2*4\/8*5. Suppose p*v = -3*x + w - 2, 4*x - 44 = 4*v. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(7700\/(-40)))\/(90\/819)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-28 - -9 - -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10479 or -10480?\nAnswer: -10479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 24*i - 11*i - 5*i - 4*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10782*d + 3459. What is the ten thousands digit of t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/15 + z**4\/9 + 2*z**3\/9 - 2*z**2\/3 - 5*z + 3. Factor m(u).\nAnswer: -4*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 14*f**5\/3 + 2348*f**4\/3 + 114002*f**3\/3 + 1224884*f**2\/3 - 1734016*f\/3 + 392768\/3 = 0?\nAnswer: -76, -17, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100000110 (base 2) to base 13.\nAnswer: -1391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 14. Let u be (-3 - (-11 + 7 + -8)) + -4. Suppose -2340 = u*s - q*s. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373045045, -373045055, -373045079, -373045123, -373045193, -373045295?\nAnswer: -373045435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**5\/50 + 2*b**4\/15 - b**3\/5 - 41*b - 2. Suppose x(z) = 0. What is z?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637900?\nAnswer: 2, 5, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-195 + 198 - (3 - 1))) + (3 - 64)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) -1\/2 (c) -4 (d) -1\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2 - 4*d + 5*d)*(-23*d + 39*d - 12*d)*(-8*d - 34 + 34) as q + c*d**3 + x*d + o*d**2 and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:41 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2340450 by 70.\nAnswer: -33435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999189.\nAnswer: 3, 23, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*z - 1136 = -185 + 639 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -373947.3 rounded to the nearest one thousand?\nAnswer: -374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504049?\nAnswer: 193, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3013 * -259.\nAnswer: 780367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 8 = 11*k. Let b = k + 0. Solve -b = 5*m + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16\/(q**(-4)\/q))\/(q**(-2)*(q\/(q\/q**(-10)))\/q) assuming q is positive.\nAnswer: q**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 762.95 + -0.95. Let z = 757 - v. What is the fourth smallest value in -2\/17, -2\/3, z, 14\/17?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 - 16*q**2 + 10*q - 7. Let l(w) = -1 - 2 + w**3 + 5*w**2 + 1 - 3*w + 4. Let t(d) = 2*b(d) + 7*l(d). What is t(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 63. Suppose -l*d - 450 = -7*d. Calculate the greatest common divisor of 135 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12826.3133 to the nearest 100.\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - s**2 - 2*s - 2 + 2*s**2. Let d be 24\/(-10)*(-20)\/8. Let f be a(d). Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6840 divided by -171?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -35, -1, 227 in descending order.\nAnswer: 227, 8, 5, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 42 = 15*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x + 2795 - 3152 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((60 - 24) + 29).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1157*i**4 + 393*i**2 + 1157*i**4 - 39*i**6 - 39*i**6 wrt i.\nAnswer: -9360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 11*q - 9 + 25.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, -86, 2\/5, -2631?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/(-280) - (49 + (-40729)\/845)?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 + -327. Let z be (1\/(-2))\/((684\/(-1539))\/((-4)\/18)). Is f smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.04528g in kilograms?\nAnswer: 0.02804528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 50*k - 88. Let f be t(2). Let u be 24*1 - (20 - f). Calculate the highest common divisor of 976 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1d?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q**(2\/3)\/q)\/q*q*q)\/(q\/(q*q**(-4\/3)*q)))**(3\/7)\/((q**3\/q)\/(q\/q**(2\/5)))**(-1\/7) assuming q is positive.\nAnswer: q**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7057 divided by -114?\nAnswer: -7057\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttwwttgtgtwwtgggt. Give prob of picking 1 g and 3 t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 906, 899, 888, 873, 854, 831, 804?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1032 + 24?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.178 - 4.378. What is w rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7)\/b)**24*(b\/(b\/b**(-1\/5)*b))**32 assuming b is positive.\nAnswer: b**(-2664\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**5*v)\/v)\/v)\/v)**(-5\/3)*(v\/v**21)\/(v*((v*v\/(v\/(v*v\/v**(-2\/7))))\/v)\/v*v) assuming v is positive.\nAnswer: v**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100022012011002 - 0?\nAnswer: -100022012011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 22 = -5*q - 3*h, -8 = -4*h. Solve -2*b - q = -4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3)*66\/220. What is the third smallest value in 4, -0.9, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -17*k**3 - 18*k - 41. Let n be p(-2). Solve n*g - 6 = 129*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15983, -32532, -49095, -65678, -82287, -98928, -115607, -132330?\nAnswer: -149103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*11\/(66\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -16.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(78)*-2 + sqrt(78) - sqrt(78))\/sqrt(2))\/(-1*sqrt(300)).\nAnswer: -4 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -68677.693406 and 0.25.\nAnswer: -68677.443406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 64. Calculate y(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = 1. Let z(l) = 1 + 1 + 152*l**3 - 1 - 151*l**3. Let y be z(c). Solve 0 = 2*s - y + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 1.42. Let x = 134.78 - l. Let s = -136 + x. Which is smaller: s or 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 36*p + 125987 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + 2.6. Suppose -3*r = 4*i - 4, -5*i - 5*r = -3 - 2. What is the smallest value in i, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 5*p**2 + 11*p - 11. Let h(v) = v**3 - 2*v**2 - 4*v + 4. Let m(z) = -4*f(z) - 11*h(z). Find the third derivative of m(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -12 + 1 + u + 11. Let f(o) = o**2 - 1. What is f(z(c))?\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*t - 5 - 20 = -13*a - 7, 10*a - 8*a = 4*t - 36 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -2.04. Let k = 5.8 + 0.2. Let l = f - k. Sort -1\/6, -5, l in descending order.\nAnswer: -1\/6, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 27*y - 46. Calculate n(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qisnngh. What is prob of picking 1 g and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/24 and -103\/150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 3 + 3)*(2*p - 5*p + 4*p)*(10*p - 20*p - 27*p) to the form m*p**2 + i*p + d + l*p**3 and give l.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0244 + -4.238837.\nAnswer: -4.214437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 5*g**2 - 2*g - 3. Let u be m(4). Let i(y) = -5 - 10*y - u - 1 - 6*y**2 + 1. Let r(l) = -l**2 - 2*l - 2. What is -3*i(s) + 16*r(s)?\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(3\/20)*o*o\/o**(-2\/9)*(o\/(o**(3\/8)*o))\/((o**(-1\/20)*o)\/o) assuming o is positive.\nAnswer: o**(989\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953.2131 months to millennia.\nAnswer: 0.079434425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -121. Let l = -46 - g. Let t(h) = -h**3 - 7*h**2 - 5*h. What is t(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (2 - (-4 + -20))\/2. Suppose -4*c = -0*c + 44. Let j = c + y. Solve j*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1101*i**2 + 4*i - 2. Let x(g) = -4406*g**2 + 18*g - 9. Give 2*x(h) - 9*z(h).\nAnswer: 1097*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - 1) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 15) in base 13?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 8*z - 9*z - 2, -3*j - 4*z = 8. Suppose -3*a = -j*a - 291. List the prime factors of a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510 = -5*h + 4*s + 476, 5*s + 13 = -3*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7287 + -7290. Sort l, 1\/4, 0.14, 4, -1 in increasing order.\nAnswer: l, -1, 0.14, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616\/(-120) + 2\/15 - -573 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:49 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 - 6. Let y be (-3)\/(-6)*1*14. Suppose 3*x - 11 - y = 0. Let d be t(x). What is d rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2250 and 59\/2898000?\nAnswer: 2898000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4769 divided by 4?\nAnswer: 4769\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, v: 1, k: 5, g: 4, q: 5}. What is prob of sequence gzqk?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2318 - 37025\/16. Suppose -3856 = -5*d + 9149. What is the common denominator of q and (3 - 3\/2)*(-799)\/d?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 666420, 666592, 666764?\n\"Answer: 172*k + 666248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169 + -437. What is c rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3098 (c) -1\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.2885 + 24.47. What is c rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6228740 and -11\/74.\nAnswer: 230463380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*q**3 + 0*q**2 - 9 + 4*q**2 - 30*q**3 wrt q.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -10, 12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 112?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2221, -1\/5, -157 in decreasing order.\nAnswer: -1\/5, -157, -2221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30102 (base 4) in base 3?\nAnswer: 1002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120 - -1222022211012?\nAnswer: 1222022122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 87 = 3*i + 3*p, 40 = i - 2*p. Let x(y) = -y**2 + 3*y + 51. Let g be x(0). Let w = g - i. Solve u = n + 1 + 6, 3*n = u - w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2207 - -4088. Let y be i\/(-76)*(-16)\/6. Let r = 145 - y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -7, -3 in ascending order.\nAnswer: -7, -3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -0.12?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -706359 and -64.\nAnswer: 45206976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37890?\nAnswer: 2, 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**5*p\/(p*p**(-3)))\/(p**5*p**(-1\/9)) assuming p is positive.\nAnswer: p**(-53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 24, -18, -4 in increasing order.\nAnswer: -18, -4, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382306 is divided by 190893?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9284*a. Let p(f) = 2*f**2. Give p(k(z)).\nAnswer: 172385312*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-5934)\/387).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**3 + 2170 - 1924 - 2573 + 33*j - 105*j with respect to j.\nAnswer: -15*j**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*k + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/12 + 29*l**3\/6 - 3*l**2. Let b(n) = 2*n**2 - 5*n - 2. Calculate the remainder when o(0) is divided by b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15959 + 15958.839975. Let q = -0.16 - a. What is q rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 3*c - c - 2*c**2 + (-2 + 0 + 3)*(-4*c**2 + 5*c**2 - 3*c**2) - 38 + 38 - 14*c**2)*(2*c**2 - 3*c**2 + 2*c**2).\nAnswer: -15*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 48498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(w + 0*w + w) + 5 - 5 - 3*w + 0 - 3*w + 0)*(-2*w**3 - w**3 + 0*w**3).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/51)\/(7\/(-21)). Let t = -29\/51 - r. Let a = -776 - -776.3. What is the nearest to t in 1\/2, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 4*m - 10*m - 6*m - m)*(-9 - 22 - 13) to the form n*m + o and give n.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from gzzgazzggggyzggygy.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.22, 0.4, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/15)\/((-2)\/(-50)). Suppose 8*h - 5*h = f. Let v(w) = -15*w**2 + 0 - w**3 - 2 + 20*w**2. Calculate v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -331220?\nAnswer: 331243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0.98. Let p = j + -0.02. Let s = p - -0.3. Which is the closest to 1? (a) -1 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q. Let a be 4\/3*-3*(5 + -19). Let h(i) = a*i - 26*i - 21*i. Give d(h(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 1. Let c be q(0). Is ((-2)\/c)\/1 + 1572 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -520*x - 1550. Calculate the remainder when 359 is divided by i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3278*s**5\/5 + 1379*s - 373. What is the derivative of o(i) wrt i?\nAnswer: -13112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*v**3 - 77*v**3 + 39*v**3.\nAnswer: -104*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 + 0 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15172717, 15172719, 15172721, 15172723, 15172725?\nAnswer: 15172727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410710 and 55.\nAnswer: 4517810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (990\/(-297))\/(((-8)\/6)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/((-4)\/10). Suppose -4*d - 2*n + 6 = 0, 3*n - f = -5*d + 2. Suppose -4 = -4*v, -d*v - 654 = -o - o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367926448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - f**2 + 3*f - 7. Suppose -78*v = -3*g - 82*v + 48, 5*g + 4*v - 64 = 0. Let s(z) = -6*z**3 + 2*z**2 - 8*z + 21. Give g*j(m) + 3*s(m).\nAnswer: -2*m**3 - 2*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 26*c**3 + c - 2. Let q be y(1). Let v be ((-85)\/q - -3)\/((-2)\/30). Calculate the greatest common factor of v and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/7*(-1 + 0). Let j(r) = r**3 + 9*r**2 + 6*r - 13. Let o be j(x). Does 3 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -197*u - 108. Let q be (150\/(-9) - -4)\/((-2)\/(-3)). Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44363743?\nAnswer: 44363743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 12538 = -26837. What is the highest common factor of s and 2800?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - 1096cc?\nAnswer: -1096b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**4 + x**3 - x**2. Let h(s) = 4*s**4 - 2*s**3 + 2*s**2 - 7*s + 31. Let c(m) = -h(m) - 2*k(m). Find the first derivative of c(n) wrt n.\nAnswer: -8*n**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i - i + i + 7*i + 2*i - 27. What is b(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56, -55, -54?\n\"Answer: r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.504703 rounded to two dps?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 9*z + 53. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmummpumu. What is prob of sequence uu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 - 4*m**2)*((0*m + 2*m - 4*m)*(-2 + 1 - 4) - 3*m - 3*m + 3*m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5.3556502 - 0.0884\nAnswer: 5.2672502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 3, -3, 6, -5\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -323, -648, -973, -1298?\n\"Answer: -325*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 1. Let y be x(-1). Let h(t) = -t. Let q(l) be the first derivative of -5*l**2\/2 + 8*l + 14. Let i(k) = y*h(k) + q(k). Give i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/10, -857307, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q - 20. Suppose 0 = -q*g + 6*g. What is the third derivative of -4*t**5 + 12*t**2 + g*t**5 - 33*t**3 + 33*t**3 wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126.36 + -1.64. Let n = -126 - o. Which is the smallest value? (a) -2\/13 (b) n (c) -9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368.2836 days to minutes.\nAnswer: 530328.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(8\/5)\/w)**42\/(w*w*w\/(w\/w**(-27))*w)**8)**(-33) assuming w is positive.\nAnswer: w**(-35838\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 15 = -2*c - 2*w, -5*w = 2*c - 65. Sort -0.1, 0.2, c in descending order.\nAnswer: c, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17*n - 8. Let o(d) = 0 - 5*d + 3 + 11*d. Give -3*a(q) - 8*o(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(7\/(245\/(-90)))\/((-24)\/(-84))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -229952526 rounded to the nearest ten thousand?\nAnswer: -229950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193688700 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:54 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n + 2*y + 770, y = 3*n - 462. Sort -4, -5, -1, n in increasing order.\nAnswer: -5, -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 6)*(-4*v + 3*v - v) + (-5*v + 2*v + 0*v)*(-137 + 9 - 18).\nAnswer: 430*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18459 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82, -337, -770, -1387, -2194, -3197?\n\"Answer: -k**3 - 83*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/(m*(m**(-2\/7)\/m)\/m))**(9\/2) assuming m is positive.\nAnswer: m**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 482*l**2\/3 + 31105*l\/3 - 507232.\nAnswer: (l - 32)*(l + 121)*(l + 393)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258972?\nAnswer: 2, 11, 13, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkka when four letters picked without replacement from aaakaaaaaaakakaaka?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.1, -3, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738 (base 10) to base 11.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-3) - 0\/(-1). Suppose -d*r - 16 = -146. Let c(p) = p**3 + 7*p**2 + 4*p + 2. What is the remainder when r is divided by c(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:56 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 5*k - 4. Let g be w(6). Suppose -3*l - 3 = -15. Suppose d = l - 0. Solve -5*m - g*y + 10 = 0, m + 8 = 5*m + d*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 113 = 3*p - 14, 61 = -2*p + 3*k. Calculate the common denominator of p and 47\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlyl when four letters picked without replacement from rlgyyrlgrggrrygyy?\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6343*-0.9039\nAnswer: -5733.4377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - o + 2*o + 2 + (2*o - 3*o + 2*o)*(-1 - 1 - 3).\nAnswer: -4*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*w + 522 - 569, -7*w + 6*w + 13 = 16*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.265247 months to decades.\nAnswer: 0.135543725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187583\/6 - 31144. Which is bigger: 120 or n?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:40 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2*p**3 + 8 - 7 - p)*(-2*p + 3*p - 2*p) + 10*p**4 - 11*p**4 + 7*p**4.\nAnswer: 4*p**4 + p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43)\/((-705)\/135 + 2\/9). Is u bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 5*q = -x - 26, 0 = -3*x - q - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75643, -151247, -226851, -302455, -378059, -453663?\n\"Answer: -75604*q - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**(9\/4))**(-3\/22) assuming n is positive.\nAnswer: n**(-9\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 16*n - 26. Let o be a(13). Let f = 1539 - 1542. What is the closest to o in 3, 12, f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*p + 4*t = 115*p + 26063, -2*t - 8701 = -p. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 730 - 23525 = 0. Let r = x - 34981\/8. Let j = 186 - r. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*o + 6*o = -7180, -4*a = -5*o + 7135. What is a rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2374283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 8*w**2 + 4*w - 9. Let z be d(-7). Let h(b) = -2*b + 21. What is the remainder when ((-20)\/(-3))\/(1\/z) is divided by h(-10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220200 (base 3) to base 11.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -7. Which is greater: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3853*c - 5 + 5 + 6802*c. Let i(l) = -2*l**2. Determine q(i(w)).\nAnswer: -5898*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 431327 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**4\/8 + f**3\/6 + f**2\/2 - 7. Let w(a) be the second derivative of l(a). Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 808841 and 330?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + -195 - (-38 + 36 - (2 - 2))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2106 and 0.12?\nAnswer: -252.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 0\/((-8)\/(-2)) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 122.2782.\nAnswer: 122.6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 30. Let j = 5 - l. What is the closest to -2 in 3, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24\/217 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 176044 from -0.072677.\nAnswer: -176044.072677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 950 - 175 = 1909 for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*x + 3*x + 483 = 0, 0 = -3*v - x - 363. Find the common denominator of (70\/(-68) - -1)\/(2\/v) and 22\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28767 + 253*w - 28767 as d*w + q and give d.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -28. Let s = -6 - n. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*-2)\/sqrt(8).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 624181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/1*(-64)\/12. Suppose 0 = 5*k + 5*r - b, 2*r = -4*k + 4*r + 40. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5 + 27*m - 8 - 128*m - 243*m. Let w(p) = -2*p. Give w(f(q)).\nAnswer: 688*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 73, 1\/6 in increasing order.\nAnswer: 1\/6, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -34700 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -106, 0.3, -71, 20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (17\/17 - (1 + -2)) + (-10)\/(-2) and 2545.\nAnswer: 17815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/20 - 3*o**4\/4 + 2*o**3\/3 + 39*o**2\/2 - 74*o - 16. Calculate y(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 + 2*a - 2. Let y be j(-8). Let i(w) = 5*w - 9. Let h(s) = s - 2. Let t(o) = -2*o**2 + 10*o + 4. Let f be t(5). What is f*i(q) + y*h(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 95*u**2 - 559*u + 6326. List the prime factors of r(11).\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6144 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1885)\/(-26))\/29*(-160)\/25.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 1:40 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 4*p**2 + 137416 - 137418.\nAnswer: -3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(r*r\/(r*r\/(r*(r\/r**(-1)*r)\/r)))))\/r**(-1\/5))**31)**40 assuming r is positive.\nAnswer: r**2728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9336 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = k - 0*k, -o = 4*k - 14. Let u be o - (-1 + 7 + -3). Suppose 0 = 4*i - 6*i + 28. What is the greatest common divisor of i and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -323*a + 3808. Let h(v) = -14*v + 168. Let u(j) = -68*h(j) + 3*t(j). Let o(k) = 2*k**2 + 7*k**2 - k**2. What is u(o(s))?\nAnswer: -136*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8064652 by 4.\nAnswer: -2016163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.11 - -7. Let k = 2.11 + v. Which is the smallest value? (a) k (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -928*i**3 - 780?\nAnswer: -2784*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55.4 + 55. Let z = 3 + 1. Which is the second biggest value? (a) z (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.2 (b) -1\/2 (c) 1 (d) 4 (e) 39426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1046 divide 4869543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1575*q**2 + 2*q + 813.\nAnswer: 3150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let y(o) be the first derivative of -2\/3*o**3 + 0*o**2 + 1\/3*o**6 + w*o + 2\/5*o**5 + 2 - 1\/2*o**4. Factor y(v).\nAnswer: 2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 5106\nAnswer: -2042.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4794917983 to the nearest integer?\nAnswer: 69245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 6*i**3 + 5*i**3 - 8 in the form k*i + z + q*i**3 + s*i**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 2409.\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 80?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187583 is divided by 3537.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 960, 3869, 8710, 15477, 24164, 34765, 47274, 61685?\n\"Answer: -a**3 + 972*a**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 38*q**2 + 278*q + 18. Determine l(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -210*h**3 - h**2 - h + 2. Let i be o(1). Let y = 215 + i. Solve -3*j - j - 16 = n, -y*j - 4*n - 9 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -206431*w**2 - 365586 wrt w?\nAnswer: -412862*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -541, -542, -543?\n\"Answer: -z - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1186653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5985 is divided by 1456.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 - 306*c**2 - 241*c**2 + 612*c**2 in the form z*c + s*c**2 + a and give a.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - z + 3*z + 2*z - 4*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, m: 1, t: 2, q: 2, c: 1}. What is prob of sequence cmee?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -13, 0, -358, -10, 3 in decreasing order.\nAnswer: 3, 2\/3, 0, -10, -13, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 110 + -2 + 5\/(-1). Suppose -33 = -f*j + 102*j. Sort -1, 1\/5, j in descending order.\nAnswer: j, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 4*u - 6579 = -17*l, 16 = -4*u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i**3 + 4*i**2 + 10*i + 30. Is m(-3) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46080, -46078, -46074, -46068, -46060, -46050?\n\"Answer: h**2 - h - 46080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4212*-1.69.\nAnswer: 7118.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 594334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10644 - 5322 - 5322 + 83*o**3.\nAnswer: 83*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 79173656.\nAnswer: 1\/39586828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.80091 months in years?\nAnswer: 18.8167425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:20 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/7 + 536*k**3\/7 - 33672*k**2\/7 + 67712*k + 6229504\/7 = 0. What is k?\nAnswer: -8, 46, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-2 + 14 + 1)*(10 - 1 - 3)*(-3*r**2 - r**2 + 2*r**2).\nAnswer: 312*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.89 + -0.01. Let g = -0.4 - x. Let h(d) = d**2 + 4*d. Let j be h(-4). Which is the closest to j? (a) 1\/4 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37.5? (a) 0.15 (b) 0.01 (c) 2 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - 2. Let l = c + 7. What is the biggest value in 0.2, -0.09, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) - -1*sqrt(960))\/(sqrt(432)*2 - sqrt(432)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98045 or 8?\nAnswer: 98045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -42, -99, -186, -309, -474, -687, -954?\n\"Answer: -s**3 - 6*s**2 - 8*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3587 divide 1857951216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.9, -6\/7 in ascending order.\nAnswer: -6\/7, 2\/11, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39159 and 601125?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 6:13 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 2:24 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*j + 6 = -8, -5*g + j = -44. Factor 8*k**4 + k - g*k**4 - k**3 - 3*k**2 + 4*k**3.\nAnswer: -k*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = l + 42. What is the remainder when l is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005110824622 rounded to five decimal places?\nAnswer: 0.00511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from jssaijaijijsjfzjia?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 27 - 79 - 0.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 632*h**4 - h**3 - 8562*h**2 + 216696763*h.\nAnswer: 7584*h**2 - 6*h - 17124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 417293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 473 - -32?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 3. Let f be q(3). Suppose -15 = f*j - 63. Let h = 18652 - 18610. What is the remainder when h is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 3, -4*i = -a + 9. Suppose 4*r + 3*s = 15, 6 - 16 = -5*r + a*s. Let j(p) = -r*p + 3*p + 5*p - 7*p. Let f(w) = 8*w**2. Determine j(f(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*t**5 - 53*t wrt t.\nAnswer: 1580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 4*v**2 + (-v + 18*v + v)*(v - v - 2*v).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 85, 176, 267, 358?\n\"Answer: 91*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b + b. Let v(x) = -x**3 + 5*x**2 + 4*x + 8. Let s be v(6). Let p be 0\/(-5) - (-6)\/s. What is the third biggest value in b, 1, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/2 - 12*u**3 + 27*u**2 - 24*u + 15\/2.\nAnswer: 3*(u - 5)*(u - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3246530?\nAnswer: 2, 5, 7, 19, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2750944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111239 and 71.\nAnswer: 7897969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - -6 - 4\/(-24)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 192 = 5*t, -6*t + t + 283 = -3*v. Let f = 91 + v. Solve f*l + 2*l = 2*h + 2, 2*h + l - 10 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -4467\/355?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*-2)\/(9\/42*(-6048)\/(-648)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v**2 - 12093650*v + 24187236 = 0.\nAnswer: 2, 6046809\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -348 divided by 116694\nAnswer: -58\/19449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3940*q + 3946*q - 36 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -l - 2. Let b(o) be the first derivative of -o**4\/2 + 23*o**3\/3 + 7*o**2 + 12*o + 133. Is b(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -14. Let p(l) = l - 5. Let x be p(f). Suppose x*i - 21 - 81 = 0. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -12638\nAnswer: 252.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120172369.\nAnswer: 120172369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217 + -136. Suppose -s + 3*o - 1 = -10, -4*s + 3*o + y = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h = 7*h + 238 - 40 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7345778 centuries?\nAnswer: 73.45778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 2 + sqrt(468) + 3 + (sqrt(468)*-2 + 4)**2*4.\nAnswer: -378*sqrt(13) + 7563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179 or 127?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-1 + 4)) + (158 - 158).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-5) - (-300)\/125.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81 - 3\/(-3)) + 4. Let j = h - -90. What is the least common multiple of (-5 - -77) + 1 + 1 and j?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 211317, 211322, 211329, 211338, 211349, 211362?\n\"Answer: m**2 + 2*m + 211314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2, z = 6*z + 5*j - 665. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 0*q - 440*q + 52*q. Let u(m) = -5*m. Calculate u(x(c)).\nAnswer: 1945*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abaraalarlblrra. Give prob of picking 2 b and 1 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 67827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 114\/950*5\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269854651.\nAnswer: 13, 97681127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54766 by -4.\nAnswer: -27383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7362, -7367, -7388, -7431, -7502, -7607, -7752?\nAnswer: -7943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-855)\/72)\/19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-1)\/(-3) - 19)*138\/(-184)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 41, 25, 51?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhzpg. What is prob of picking 1 p and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1371 = 167*o + 1042 - 409 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -89. Suppose 3*x - z = -5*k, -2*x - 4 = -4*x. Suppose d + 3 = -0*d, d - 126 = -k*n. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.62635857 - -39.97334243. Let p = 40.6 - m. What is p rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-88)*2)\/((-12)\/112)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 11*j**2 + 14*j + 26. Let h be u(-12). Suppose 31 + 57 = h*i. Suppose i - 144 = -5*f. Solve -5*t + 5*w = -f, -4*t + 2*w - 5*w = -23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 25*z = -65. What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 divided by 4\nAnswer: -127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 76012?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -79764 divided by 4692\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 6*u**2 - 7*u + 8. Let v be f(7). Let r = -8 + v. Suppose -4*m + 23 = -3*m + 3*b, r = m + 4*b - 21. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1443 divide 360523453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.28 - 140.28. Let i = l - -138.0118. What is i rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 74*l**2 + 279*l - 30. Let v be w(-50). What is v rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4.0487785515.\nAnswer: -0.0487785515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*p - 530*p + 264*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + sqrt(363) + -1 + 0 + -1*sqrt(363))**2 + (sqrt(363) - (-1 + -2 + sqrt(363)))**2 + -3)*-1.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1811 - 1811. Which is the nearest to -1? (a) -3\/2 (b) -0.1 (c) 3.3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54256 = -17*w - 3322 - 5441. Is -3704 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 855 = 101*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hihy when four letters picked without replacement from yhhihihyh.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 + 16*m**2 + 5. Let r(k) = -3*k**3 + 15*k**2 + 4. Let p = 510 + -514. What is p*l(a) + 5*r(a)?\nAnswer: a**3 + 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355791787 and 55835.\nAnswer: 11167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 584775*j*z**2 + 1169103*j wrt z.\nAnswer: 1169550*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 813472\/19 not equal to 42813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.993464t to nanograms.\nAnswer: 8993464000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5 - 2 - (16 + -19)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 399040 and 478848?\nAnswer: 2394240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 10:06 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 8. Let u(i) = 22*i + 127. Let t be u(-6). Let n be g(t). Solve -n*l - 4*o = 0, -2*l - o = -0*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 57.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 32. Let -1\/2*a**r + 0*a - 1\/2*a**3 + 0 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:03 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -3927.\nAnswer: -3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**3*l**4 - 2187325*b**3*l**2 - 5290194*b**3 + 2*b wrt l.\nAnswer: -16*b**3*l**3 - 4374650*b**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - z - 3 + 1, m - 3*z = 14. Suppose -6*h + 11 + 13 = 0. Suppose h*t - m*t = 6. Solve -2*n - 3*n = -4*y + 29, -18 = -3*y + t*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -1431, -3211, -5703?\nAnswer: -8907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175.8 - 677.3. Let r = u + 502. Which is the closest to -0.1? (a) 0 (b) -0.1 (c) 0.24 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -867, -1718, -2569, -3420, -4271, -5122?\n\"Answer: -851*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1045\/15 + (-2)\/3. Suppose -s = -y + 4*f + 12, -f = -1. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 24. Suppose 0 = 2*w - 2*t + 10, -2*w = -3*t - 2*t + 7. Is n(w) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 10:04 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 2*n + 5*n**2 - 4*n - 10*n**2 - 1 + (-43 + 43 - 9*n**2)*(n**3 - 2*n**3 - n**3).\nAnswer: 15*n**5 - 5*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 340 = -7*n. What are the prime factors of n?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 118*u - 36. Let i(q) = 61*q - 18. Let n(w) = 5*i(w) - 2*s(w). What is the tens digit of n(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 52*b + 3387. Calculate a(-70).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 2*o. Suppose o*c + 28 = 78. Solve -4*a = c*f + 5, -a - f = -5*f - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 13. Calculate c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-10))\/((374\/(-1615))\/22). Which is smaller: c or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/36 - 6\/(-27). Suppose -15 = -2*z - z. Suppose 2*d = d + z. What is the nearest to g in 2, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(42\/8)\/(1935\/1032)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10001*d + 1. Let p be f(1). Let x be (-90)\/9*p*6. What is x rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 194312596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.1 - -65.1. Let w = l - 48. Let y = -0.05 - 1.95. Which is the third biggest value? (a) -3\/5 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -78*f - 1552*f**2 + 0*f + 43*f + 35*f. Let z(n) = 2*n. Calculate b(z(t)).\nAnswer: -6208*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 - 4 - -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*m**3*o**2 - 21226*m**3 - 311318*m*o**2 - 29*m wrt m?\nAnswer: 96*m*o**2 - 127356*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - z + 62 = -9, -112 = -4*s + 4*z. Calculate the remainder when 96 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*o = -1901*o + 93275 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -22, -37, -58, -85?\n\"Answer: -3*i**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 601 and 35373057?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73738194 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.173 and -1.263?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 5*h + 456019 = -18*j, -j = h - 228006. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -68.7. What is the third biggest value in -4, d, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-6)*(-3570)\/(-1 - 6). Suppose -7*w = -26*w + p. Is w 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 5586254.\nAnswer: 2, 467, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 1. Let j be p(-1). Suppose -j*z + 5*t = 739, 2*z + 490 = 4*t - 0*t. Let v = z + 372. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.5 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 522546272, 1045092542, 1567638812, 2090185082, 2612731352?\n\"Answer: 522546270*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/(-52))\/(-3))\/(4\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 1\/4 (c) -2\/3 (d) -1\/12 (e) -7 (f) 1770 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, w: 2, s: 4}. What is prob of sequence ewe?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -415646414338.1000056 - -415646215792. Let i = k - -198528.1. Let l = -18 - i. What is l rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -101, -203, -305, -407, -509?\n\"Answer: -102*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 4) to base 3\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 12. Let w(l) be the third derivative of -5*l**4\/24 + l**3\/3 + 89*l**2 - 2. Is w(o) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7779039 and 3246?\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 + 12*v + 12. Let a be z(-1). Sort -3, a, -13 in descending order.\nAnswer: a, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400.2 + -400.2. Let m be -2*2\/(4\/(-5)). Let o = 8 - 12. What is the closest to w in m, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0465055 to three decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -301*i**5\/5 + 45*i + 74. Differentiate s(f) wrt f.\nAnswer: -1204*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(25)*3*1)\/(sqrt(180) + (1*sqrt(180) + sqrt(180) + sqrt(180))*3)*-2*3.\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 119447910.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1841068 by -1841068.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 1301*o - 1299*o + 6 + 0*o**2)*(o - 3*o + o).\nAnswer: -2*o**3 - 2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -873, -146, 1125, 2940?\n\"Answer: 272*w**2 - 89*w - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*h - 37, 3 = h + 3*b + 7. Suppose -t = -h*u - 6 - 0, 4*t = -u + 3. Suppose 2 + 3 = 5*g. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 - (-38 + -31) - -38\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**2 - 18*z + 18. Let m(k) = 5*k**2 - 8*k + 8. Let d(j) = 9*m(j) - 4*x(j). Let q(h) be the first derivative of -6*h**3 - 64. What is d(q(t))?\nAnswer: 2916*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 11 - 1) + 10 + 4 + -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.13 + -25. Let j = f - -0.23. Let g = 0.04 + j. Which is the second biggest value? (a) g (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 249, 0.22, 3, 0, 0.4, 1\/6?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3 - 5*o**2\/2 + 3*o - 4624. Let j(q) = -q + 1. Determine -5*j(w) + t(w).\nAnswer: -3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/40 or 165757\/2?\nAnswer: 165757\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-40))\/((-1)\/282). Let l = v + 253. Suppose 2*z = -g - 0*g - 4, -3*g - 9 = 3*z. Sort l, -1\/4, z.\nAnswer: z, l, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50998545 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222766 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*r + 532 = 679*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*p - 34439*p**2 + 258*p - 502*p.\nAnswer: -34439*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/9 of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 750, -126, -4 in decreasing order.\nAnswer: 750, 113, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 22*c + 48.\nAnswer: -(c - 24)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 162*n + 268*n + 158*n - 589*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 334 = -u - 2*u, -u + 4*i + 98 = 0. Suppose -2*j + 8 = -n, 3*j - 4*n = n + 5. Suppose -u = -j*h + 56. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000110101011 (base 2) to base 15.\nAnswer: b0b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/10))\/h**(5\/6) assuming h is positive.\nAnswer: h**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -5249?\nAnswer: -5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 68. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t + 13*t**2 - 51*t**2 + 2*t - 17*t wrt t?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/(-6)*(117 - 102). Solve 27*r + t = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -4a?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 4:53 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Find the third derivative of -6*t**5 + 6*t**5 + 6*t**x - 5*t**5 wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(16))\/sqrt(2) - ((sqrt(88)\/sqrt(4))\/sqrt(11) + sqrt(2)*2*-3).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077.\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*l - 2*a, -2114*l + 2109*l - 3*a = -48 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -24429?\nAnswer: 10\/24429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3*p + 8)*(8 - 18 - 2) + p - 4*p + 2*p.\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 23*q**2 + 7*q - 1238. Determine a(23).\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53637347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*u = 12, -2*u - 27 = -j - 3*u. Let r = 22 - j. Which is bigger: r or -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let k = m + 11. Suppose 2*s - 1 = 5*d, -d - 17*s + 13 = -13*s. What is the greatest common divisor of d and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-24))\/(112\/(-5376))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - -58 - (6 - (9 + 7 + -12))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 304210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3399347, -3399271, -3399147, -3398975, -3398755, -3398487, -3398171?\n\"Answer: 24*y**2 + 4*y - 3399375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46884528 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14699 is divided by 312.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -926 - -937. What is the smallest common multiple of 77 and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5*t = 15. Let l = 5 + t. Suppose l = 4*w + 3*f - 0*f - 72, -5*w - f = -79. What is the remainder when 42 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 4, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Let x be (15\/10)\/((-9)\/(-258)). Let d = x - 40. Solve d = -w + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s = 60*s + 405. Suppose 0 = -6*x + 2*x + 3*q, -x - 5*q = 0. Suppose 5*j - 109 - 161 = x. What is the highest common factor of s and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108319, -108310, -108301, -108292?\nAnswer: -108283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 4 - (5807 - 5815).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:43 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**7\/1260 - q**6\/360 + q**5\/120 + q**4\/6 - 23*q. Let a(z) be the third derivative of r(z). Determine a(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/((-3)\/(-32)). Let u = d - 4. Solve -2*i - u = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1023700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5068980 divided by 12.\nAnswer: -422415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * 12969.\nAnswer: 37610.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 take away 23547983?\nAnswer: -23547864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5345200 <= -5345201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (44 + -86 + 51 - (2 + 4)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-295)\/1534*9?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -6*z + 4 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eglggsggpglplg. Give prob of sequence sel.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1100011000101010 (base 2) to base 13\nAnswer: 1a124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*o + 3775 = 187. Let h(a) = a + 5. Let i be h(-3). Let w be i\/(-9) + (-74)\/(-9). Solve 4*t + w = o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-1071))\/(31\/(-2387))*(-6)\/8.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7 + 3*h - 27 + 9 - 5*h + 10. Suppose -5*b + 4*a = 21, -b + 21 - 2 = 5*a. Give x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 420083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*i - 32, -47 = 5*n + 4*i + 3 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/440*16*(-75)\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3. Let i be p(0). Suppose 4*u + h - 4 = 0, -i*u + 3*h = -0*h - 18. Which is the nearest to -2\/41? (a) u (b) -0.4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6728416168.6 + 2.73?\nAnswer: 6728416171.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(2\/11)\/v)\/v)\/v)\/v*v*v**(-2\/11))\/((v*v*v**3)\/v*v\/(v\/v**(-1\/8)*v)) assuming v is positive.\nAnswer: v**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0.4, 65, -0.81, 2\/3 in ascending order.\nAnswer: -0.81, 0.4, 0.6, 2\/3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 4. Let m be v(3). Suppose 0 = x + 2*d - 121, 5*d = -m*x + 4*d + 254. Let w = 2279 - 2246. Calculate the remainder when x is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2769 = 2*q - 831. Calculate the remainder when 88 is divided by (1\/(-5))\/((-24)\/q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23125*t - 527 = -23156*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-41))**48\/(r**(-1)\/r*r**4*(r\/r**(-3))\/r**(-4)) assuming r is positive.\nAnswer: r**(-1978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/18*(561\/22)\/17. Solve -4 = 2*a, 2*a = 5*u + o*a - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4 + -5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -17. Let o = f + -78. Suppose o*v = -8 - 2. Is v greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13757\/2 + 6925. What is the common denominator of -117\/560 and t?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 10*a = -4. Suppose -u = -a*s, -3*u = 2*s - 3*s. Solve -4*w + 10 + 10 = s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3947*s + 73*s + 79*s.\nAnswer: -3795*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**6\/360 + 19*k**5\/120 - 5*k**4\/4 + 10*k. Let q(o) be the third derivative of t(o). Differentiate q(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123090 by 10.\nAnswer: -12309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/5)\/g)\/((g*g\/g**(3\/7)*g)\/g)*(g\/g**(3\/5))\/g**(-1\/7))\/((g**(-1\/10)\/g*g*g**(-2\/3)*g)\/((g\/g**0*g*g)\/g)**18) assuming g is positive.\nAnswer: g**(7043\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/21*-23 - 12\/(-18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14564 - -14563. Suppose 0 = -2*t + 4*p + 8, 3*t = -0*t - p - 2. Sort -0.5, -4, f, t in ascending order.\nAnswer: -4, f, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 146, 222, 300, 380, 462?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqqqnnbbqq. Give prob of picking 2 q and 2 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.5. Let h = 0.5 + r. Let q be -2 + 3 - (4 + (-18)\/10). Is h <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = i - 4*i + 2*p, 4*i - 5*p = 250. What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 2\/11 (c) -8\/9 (d) 0.3 (e) -23.1 (f) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.31. Let b = 0.39 - z. Let a = -0.3 + b. Which is greater: -1\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m**(-18))**(1\/40))**(3\/14) assuming m is positive.\nAnswer: m**(57\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 3. Let n = 1 - 1. Let x = 4 - -1. What is the closest to n in l, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14783103 by 1642567.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30216833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d + 4?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - z. Let s(t) = -8*t**2 + 5*t - 4. Let c(d) = -6*k(d) + s(d). Let l be c(7). Let r = -5 - l. What is the least common multiple of 4 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 28*x**2 - 298*x + 72. Is b(53) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v + 1\/630*v**7 + 1\/120*v**6 + 8*v**2 + 1\/180*v**5 - 1\/24*v**4 - 1\/9*v**3 + 0. Factor z(n).\nAnswer: (n - 1)*(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/12 + (-11)\/((-44)\/(-12)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Suppose 2*u - 33 = z*w, -5*w - 11 = -5*u + 34. Let i(m) = u*m**2 - m**2 - m**2. Let o(q) = -q**2. What is o(i(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 2. Let g(a) = -2*a + 2. Let j(h) = -3*g(h) + 2*z(h). Let r be j(3). Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(11\/4)*n*n*n*n**(-1\/3) assuming n is positive.\nAnswer: n**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55618749 to the power of 1\/2, to the nearest integer?\nAnswer: 7458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from {y: 2, b: 18}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3874\/19 + -204. Let z be ((-4)\/14)\/((-5)\/7). What is the biggest value in z, o, -4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.92, -1\/8, -18\/11, 4, 14?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2751894 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154528093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*(31 + -36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 57333630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360028489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 20. Let s be 21\/(-15) - f\/8. Factor -s*r**3 - 9\/5*r**2 + 3\/5*r**4 + 3\/5*r + 6\/5.\nAnswer: 3*(r - 2)*(r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -951?\nAnswer: 123.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*w + 14, 9*k + 3*w = 4*k + 25. Let c be -6 + 15\/2 - 19\/k. Is (2 - (-374)\/c)*-8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/4 + -3 + 1. Let k(w) = -w**3 + 6*w**2 + 7. Calculate the remainder when k(i) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36535720 by 36535720.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 54.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-8 + 14)) + (39 - (13 + -10 - -2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) 2\/3 (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -0.5, -0.168, 0.4 in descending order.\nAnswer: 0.4, -0.168, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 8. Let i be 4*(-1)\/10*-975. What is the remainder when (1\/1)\/(10\/i) is divided by a(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16979 = d, 21 - 36 = 3*d. What are the prime factors of n?\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002332852 rounded to 7 dps?\nAnswer: -0.0002333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48079\/6 + -8033. Find the common denominator of -14\/3 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 12*t + 9. Let c(a) = -a**3 - 31*a**2 + 35*a + 102. Let p be c(-32). Give g(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, e: 1, a: 2, n: 4, i: 2, z: 3}. What is prob of sequence ini?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.98 rounded to zero decimal places?\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.04336 rounded to one dp?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -2*sqrt(204)*2)\/(sqrt(12) + -1*sqrt(768)).\nAnswer: -5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34225\/(-5)*(-2 + 8\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(336)\/(sqrt(18)\/sqrt(3)))\/(-1*sqrt(32) - (sqrt(200) + sqrt(200)*-1 - sqrt(8)))*1*-4.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 2 - 4*y**2 + 0*y**5 + 0*y**6 + 11\/210*y**7 + 9\/4*y**4 + 0*y + 0*y**3. What is the second derivative of l(x) wrt x?\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 - -7781464.\nAnswer: 7781401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 173, 166, 155, 140?\n\"Answer: -2*x**2 - x + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-2)*1 + 37.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 6. Suppose x = -y*x. Solve 2*n + 0*n - 2 = x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5525 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350114*w**3 + 17*w**2 - 24891710*w.\nAnswer: -2100684*w + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7009067 by -3.\nAnswer: -7009067\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Let p(f) = -35*f + 74. Let u be p(2). Solve 12*s**u - 16 + 19*s + 16*s**3 - 12*s**3 + 29*s - 44*s**2 - 4*s**h = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -8 + (20 - (14 + -23 + 15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -191*o**6\/120 + 22*o**3\/3 + 374*o**2. Differentiate r(q) with respect to q.\nAnswer: -573*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4128.7 and -0.02.\nAnswer: 82.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*g + 16, 3*r + 0*r - 2*g = 13. Solve r = -5*t - 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -14.2. Sort 3\/7, 5, x.\nAnswer: x, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 28*o + 2*o**4 + 37779*o**3 - 98 - 37807*o**3 + 97*o**2 - o**2 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 422 and 211.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-3)\/(-4))\/((-10355)\/(-1064) - 10) + 6?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - y - 6. Let a(r) be the first derivative of -3*r**2\/2 + 5*r + 12. Let u be a(-5). Suppose 35 = 2*x + x - 4*n, -2*n - u = -2*x. Calculate k(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*w - 35*w + 29*w - 231 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-15)\/3)\/(-5)). Let k be (20 + n)\/3*(4 - 3). What is the greatest common factor of k and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(275) + (5 + (sqrt(275) - (sqrt(275) + 0)))**2)*-3 + ((5 + sqrt(275)*-2)**2 - -1*(sqrt(275) - (sqrt(275)*-1)**2))) + 0.\nAnswer: -660*sqrt(11) + 4626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1\/6, -2\/9, -0.5, 5\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 283 and -26.598?\nAnswer: -7527.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.5 - -7. Sort 3, -4, k.\nAnswer: -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + 1)*(4 - 3 + 0) - 5 + 3 - 5)*(v + 0*v - 3*v) to the form c*v + o and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 285590*p**2 - 4 - 6*p + 3*p - p + 57. Let n(b) = -95197*b**2 + b - 18. Let x(w) = 7*n(w) + 2*t(w). Let s be x(5). Round s to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/75? (a) -0.3 (b) 3 (c) -1\/11 (d) 3.7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(((-2)\/(-1))\/(-2)). Suppose 1 - v = -2*c. What is the derivative of c - 2*y**2 + y**2 + 3*y**2 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/(-1)*((-96)\/(-18))\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 5:28 AM?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + 28*u + 81*u + 82 - 52*u. Let c be d(-29). Round c to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10823 - 12*q - 14*q - 10728 + (6*q - 2*q - 3*q)*(-1 + 2 + 1) + 0*q + 2*q - 3*q in the form b + x*q and give b.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232268016 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (0 + (0 - (-6 + 13))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 14 = 2*n, 19 = y + 4*y - n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1847 - -7544. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -14697 + 2474. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(12\/2*((-154)\/(-33))\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00447 - 0.009. What is v rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -64496.78 and -821.6.\nAnswer: -65318.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 2*q - 3. Let z(a) = -6*a**2 + 6*a - 12. Let x(p) = -5*p**2 + 5*p - 11. Let b = 61 - 65. Let r(d) = b*x(d) + 5*z(d). Give -11*m(j) + 2*r(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 24*d**2 + 48*d + 53. Let o be y(-22). Let i be (5\/o)\/((-6)\/21). What is f in 0 - 1\/4*f**3 - i*f + 3\/4*f**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186225)\/15471 - 1\/(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 14*u + 79. Determine y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 1010*u + 524*u + 512*u.\nAnswer: 26*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 25563*o + 0*o**2 - 25569*o + 59*o**3.\nAnswer: 59*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 3035?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14904955817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2748282 is divided by 26174?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 p when four letters picked without replacement from {p: 9, y: 10}.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25671 = 85*v - 6714. Calculate the remainder when 642 is divided by v.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - 6*l**5 + 3*l**5 + (l - l - 2*l**2)*(-2*l**3 + l**3 + 3*l**3) - l**3 + l**3 + 2*l**5 + (l**5 + 2*l**5 - l**5)*(0 + 0 + 1).\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (5 - 10) - 3 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 8 - 28, d - 24 = -b. Let f(l) = -l**2 - 7*l - 6. Let q be f(-4). Suppose -m - 300 = -q*m. What is the highest common factor of d and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*o**2 + 2*o**5 - 2*o**6 - 2*o**5 - 19*o**2 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-28) + ((-1038)\/(-21))\/2. Calculate the highest common divisor of 25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 26437, -971 in descending order.\nAnswer: 26437, 2, -971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvtvxvxvvxvvvx. What is prob of picking 2 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5108*c + 4 - 5084*c)*(0 + 0 + 2 + 5 - 2 - 1 + (-4 + 2 + 1)*(1 - 2 + 0) + 0 - 3 + 1) + (2 - 2 - 2)*(c + 0 + 0) in the form o*c + p and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**3))\/g**12)**(-12\/11) assuming g is positive.\nAnswer: g**(180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 4. Let c = 5\/73 - 531\/292. Is c < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -0.36 (c) -2\/43 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9049000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 24\/5 (c) -4 (d) -0.1 (e) -0.282\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*d**3*h**2 - d**3 - 2*d*h**2 + 3*d*h - 83*d wrt d.\nAnswer: 186*d*h**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejjjdeee. Give prob of picking 1 d and 3 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3240*c**2 + 2*c - 6*c - c + 1 + 3268*c**2 + 1 to y + m*c**2 + r*c and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/79 or 1?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 1, t: 2, u: 6, x: 4, i: 3}. What is prob of picking 1 t, 2 i, and 1 x?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2 - 1393385*u + 2786774 = 0.\nAnswer: -1393387, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 14*q - 51. Give a(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + 1614\/10. Let j = c + -16. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (105\/(-63))\/(20\/144). Let p = 93 - 64. Let b = p + m. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of z**4 + 24*z**2 + 9*z - 4554 wrt z?\nAnswer: 4*z**3 + 48*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, -1, 3, -52 in decreasing order.\nAnswer: 3, -1, -5, -12, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185623, 40, -3 in decreasing order.\nAnswer: 40, -3, -185623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -106*s + 2956. Give a(26).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5 = -316*j + 124*j + 193*j, -6 = 2*j - 3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-57)\/(-95))\/(63\/10 + 0). Let i = 22.9 - 22.2. Are i and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 186 - 24. What is the smallest common multiple of 21 and h?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3 + 3 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -597663, -2390378, -5378237, -9561240?\n\"Answer: -597572*z**2 + z - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*y + 3042 = -5173 + 649 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 10:13 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 3*j - 5*j + (2*j - 2*j - 2*j)*(0 + 2 - 3) - j + 6*j - 3*j - 15 + 15 + 50*j in the form v + f*j and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*q**3 - 22*q**3 - 25*q**4)*(-85*q + 57*q + 52*q).\nAnswer: -600*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b**2 + 7*b + 11. Let m be h(-2). Let w = 98 - m. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/4 - 6657*a\/4 + 1665 = 0. What is a?\nAnswer: -2220, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -578, -1017, -1458, -1901?\n\"Answer: -k**2 - 436*k - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 2, r: 15}. Give prob of picking 1 i and 2 w.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 - 3792170*p + 22753092 = 0. What is p?\nAnswer: -1896091, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-7))\/((-2)\/22). Calculate the highest common factor of x and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 434 - 586 = 4*o, -2*m + 46 = o for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1234, -4878, -10810, -18910, -29058, -41134?\nAnswer: -55018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000001010100111 (base 2) in base 7?\nAnswer: 1253435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**3\/6 - 7*z**2 + 71*z. What is x(-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6538*i**3*l**3 - i**3 + 2*i**2 + i*l**2 + 2*j*l**3 + 104*j wrt l?\nAnswer: -39228*i**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 9*s**2 + 14*s + 16. Let p be g(-10). Let l = 93 + p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q + 3*q)*(0 + 2 + 0) - 1 + q + 1 - 3*q + 2*q + 3*q - q - 3 + 3.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -31) + -3 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*s = -278 - 517 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3795*l + 3324 = 3940*l + 134 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2048 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 10 + -7 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 341*k**7\/105 + 92*k**3\/3 - 14*k**2 - 3. Differentiate d(y) wrt y.\nAnswer: 2728*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 28*d**3 - 14*d**2 + 443*d + 65. Is y(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 76, -3, -48, 4 in decreasing order.\nAnswer: 76, 4, 1, -1, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 789640 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 330, 1\/46, 2\/15, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22132*a - 44260*a + 22135*a = -581 for a.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csae when four letters picked without replacement from ccecemassmasaecla?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 10622, 3, -2, -1, 4 in increasing order.\nAnswer: -4, -3, -2, -1, 3, 4, 10622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -42*l - 144*l**2 - 52*l**3 + 150 + 94*l**3 - 3 - 3*l**4 = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:27 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44663.7 (b) 5 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 3*f**2 + 177*f + 39. Let k be v(12). Solve b + 3*a - 1 = -2, 0 = -3*b + k*a - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 + 97. Let o = u - -129. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(1452)*-1).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820 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: -24 - 3275\/(-150) - (-6)\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1311144 and -3.\nAnswer: 3933432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/9, -4\/3, -28, -4\/5, -0.3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -3, 15, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -71. Let o = -16.4 - h. What is the nearest to 1 in 0.5, o, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 - 4451512?\nAnswer: -4452014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:05 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*x + 98, 5*x + 14 + 18 = y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001431 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -15938, 30 in increasing order.\nAnswer: -15938, 30, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -11\/2*u**2 - u + 0 - 1\/6*u**3. What is the first derivative of b(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*s - 3043 + 788 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v + 4. Suppose -l + 3*t - 17 = -2*l, t = l - v. Suppose l*x - 242 = 3*x. Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-10) - (-42)\/(-4). Let o(a) = 4*a**3 + a**2 + 3*a + 2. Let w be o(-1). Let n be (-8*w\/(-24))\/(-6). Is l < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 623860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(66\/9))\/((-10)\/(-10))*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let o(s) = s**3 - s**2 + s + 1. Suppose v + 10 = -3*g, 5*g + 16 = -5*v + 4*v. Let k(c) = c**2 - c - 1. Calculate j*k(r) + v*o(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 470.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.49272022 + -1170.64301022. Let s = -1169.7 - o. Let i = s + 0.55. Round i to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251431295 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 430 - 3871\/9. Which is the nearest to -1? (a) -0.4 (b) o (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.056 - -0.368. Let i = 37.53 - 37. Let r = i - y. Round r to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**2 + 364*l - 340. What is x(51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.150353894 to 4 dps.\nAnswer: -1.1504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.6 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1274599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d**(-4\/3))*d)\/d*d)\/d*d*((d*d*d**(-1\/3)\/d)\/d)\/d)**(-7) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = l - 0*w, 0 = -l - w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92459811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6892, -2.\nAnswer: -5, -2, 6892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8 and 4\/12*636\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27539231\/220 - 125178. What is the common denominator of (-12570)\/2640 + ((-24)\/(-15))\/(8\/20) and s?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36565471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 135416 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (6*-17 - 5). Do b and -105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2800*m = -2837*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17225 divided by -65.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.148 - 16. Let f = -0.012 + i. Round f to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(3\/4))\/(((d*((((((d\/(d**(2\/3)\/d))\/d)\/d)\/d)\/d)\/d)\/d)\/d)\/d*d))\/(d*d**(-2)\/d)**(-41))**(3\/17) assuming d is positive.\nAnswer: d**(-925\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w - 3*x = 5, 2*x + 2 = -2*w. Find the second derivative of 3*h - 337*h**2 + 128*h**w + 106*h + 97*h**2 wrt h.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99704789.2 rounded to the nearest one thousand?\nAnswer: 99705000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -107296 times -0.1\nAnswer: 10729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -32 + 62 - -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553043.3 micrometers in meters?\nAnswer: 0.5530433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*v - 244 = -4*v, -3*v = 4*q - 327. What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**2 + 7 - 8 - a - 1 + 1. Does 2 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43911002017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11923*k + 71127. Calculate w(6).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 6, t: 2, z: 1}. What is prob of sequence tezy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 2 in increasing order.\nAnswer: 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let z = -30 - -50. Suppose 4*y + 0 = z. Let l be (-2)\/8*(1 - y). Let u(k) = -8*k - 1. What is l*u(q) - 6*m(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by 5\nAnswer: -149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -22. Let t(l) = -l - 13. Let m be t(i). Let y(q) = -q**2 - 2*q**2 + 4*q**2 + 2*q + 2 + 0*q**2. Calculate y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*c + 77*c + 10*c + 96 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*q = -69, 2*i = -0*i + q + 51. Suppose 0 = 2*j + j + i. Let z be 2*(j\/(-12))\/3. Sort -3, -5, z.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*n = -8*i + 5, -4*i + 3*n + 35 = 0. Suppose -3*f = -i*q + 240, -f = 3*q + 2*f - 120. Calculate the smallest common multiple of q and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*24\/16 - (-10920)\/504.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzwwzzwzjjzzzzw. Give prob of picking 2 w, 1 j, and 1 z.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4559, 18196, 40925, 72746, 113659, 163664, 222761?\n\"Answer: 4546*o**2 - o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 2*r**4 - 14 + 14 + (r**4 - 4*r**4 + 0*r**4)*(-2 + 2 + 2).\nAnswer: -8*r**4 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**2 + 12*c - 32. Let u be a(4). Let j = -71 - u. Let l(d) = -d**3 + 8*d**2 + 12*d - 8. What is l(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1652010, -3304021, -4956032, -6608043, -8260054?\n\"Answer: -1652011*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4884409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -88*b**2 - 10. Let z(o) = 89*o**2 + 12. Calculate -5*y(x) - 4*z(x).\nAnswer: 84*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkiiikiikkkikkk. What is prob of picking 2 i?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9200 - 9200 + 306*s as z*s + r and give z.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -2863932.\nAnswer: -7\/1431966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.8. Let r = -5.65 - -0.05. Let o = r + 3.6. Which is the closest to o? (a) 2\/3 (b) -1\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (336\/(-294))\/((-2)\/14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/48*3*2. Let f be k\/(-3)*-1*(-6)\/9. Is (77\/(-2))\/(2*f\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11bb (base 15) in base 7?\nAnswer: 14003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 19*x - 58. Let g be w(12). Solve l - g*l - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1738204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3233847390+0.2\nAnswer: -3233847389.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.067 - 0.233. Suppose g - 5 = -m - 3*g, 4*g - 7 = -3*m. Let k = 46\/7 - 269\/42. Which is the biggest value? (a) 4 (b) k (c) m (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 259468 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ashhhtsszahhsah. What is prob of picking 1 h, 1 t, and 1 a?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/(295\/531)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, y: 2, s: 6, a: 1}. Give prob of picking 2 y, 1 s, and 1 h.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002622569 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 27*s**2 + 71*s - 1184. Let c be d(28). Calculate the highest common divisor of 10220 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 418 = 19*l - 5*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/23 in 1, -1\/2, -2\/45, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 12126.\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4420075, -8840150, -13260225, -17680300?\n\"Answer: -4420075*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 45. Let f be n(6). Let p(r) = 40*r. What are the prime factors of p(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32107293 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1 + 2*v - 4 + 3. Let l(g) = 2*g - 5. Let h(s) = -3*s + 7. Let t(w) = 5*h(w) + 7*l(w). Determine o(p) + 3*t(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 7*l**2 + l + 1. Let d(c) = 8*c**3 - 43*c**2 + 10*c. Give -d(f) - 6*k(f).\nAnswer: -2*f**3 + f**2 - 16*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2306, -2254, -2200, -2144?\n\"Answer: u**2 + 49*u - 2356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -6708\/79, -5, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 822, 1011, 1332, 1785, 2370, 3087?\nAnswer: 3936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9426632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + -751?\nAnswer: -76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 40*g**2 - 39*g + 60. Let k be v(-41). Let n = -2 + 2. Let s = n - 0. Do k and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.257 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261177618 divided by 39.\nAnswer: 6696862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o**3 + 3*o**2 + 5*o + 1. What are the prime factors of x(-2)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/51 + (-2282)\/(-2142). Which is the smallest value? (a) -4 (b) 3\/4 (c) -0.14 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, n: 2}. Give prob of sequence iinn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2992464 is divided by 332491.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - 1) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 72*f\/5 - 1152\/5.\nAnswer: 2*(f - 48)*(f + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -39. Let a(m) be the second derivative of -m**4\/12 + 7*m**3\/6 + 29*m**2\/2 - 15*m. Let v be a(-3). Sort v, s, -3 in descending order.\nAnswer: v, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 16. Let y be (-9)\/6*8\/(-3). What is the biggest value in u, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.02 (b) 222 (c) 1012 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56980 and 7500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouuouonuouuouuuou. What is prob of picking 2 n and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d - 1. Suppose 0 = 48*i - 32*i - 64. Suppose 2*t - 29*k = -28*k + i, t - 3 = k. Let o(c) = -12*c**2 + 18*c - 18. What is t*o(f) - 18*n(f)?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**13*t**(-7))\/((t**0*t)\/t**4) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54342215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/((-7840)\/21)*(-2)\/(-4)*126\/54?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**7\/147 - y**6\/105 - y**5\/70 + y**4\/42 + 3*y. Factor n(j).\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 88. Suppose 4*m + 4*q - 4 = 0, 2*m + h = 7*m - 2*q. Suppose l = u - 0*u + m, -3*l + u + 10 = 0. Solve d + l = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -27.3. Let t = 22.6 - w. Let q = -3 - t. Round q to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -w + 42, 0 = 3*w + 12*k - 9*k - 108. Differentiate -w - 10 + 27 - 169*z - 54 - 22 with respect to z.\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10)*a\/(a\/(((a\/a**2)\/a)\/a))*a*a*a**21*a\/((a\/(a\/(a\/((a*a\/a**(-5\/6))\/a*a))))\/a) assuming a is positive.\nAnswer: a**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -18. Let n be 2*33\/(-9)*(-9)\/2. Suppose -p + 41 - n = 0. What is the lowest common multiple of p and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-825))\/(((-24)\/15)\/(-2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {k: 1, z: 1, q: 1, n: 1, h: 1, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5205155 (base 6) to base 2.\nAnswer: 111101000001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9449 + -1?\nAnswer: -9450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2017, 2.\nAnswer: -2017, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*f + 24, 0 = 3*l - f - 23. Let g be (553 + -1)\/3 + -4. What is the highest common factor of g and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.5. Let s = -138707\/15 + 9243. Let w = -4 - s. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*f - 128259 - 122441 = 0. Calculate the smallest common multiple of f and 36.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 35692 = -5*b + 35674, -4*b - 2*j = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*n + 3*n. Find the third derivative of -3*s + n*s - 3*s**2 - 18*s**6 + 20*s**6 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*q - 47 = -26 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-38)\/(-6). Let h be 4 + -3 + 16\/(-4). Calculate the least common multiple of ((-20)\/b + 2)*h and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 587 divided by 2\nAnswer: 587\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-12)\/9 + 2. Let j be 6\/4 + 37803\/u. Round j to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-25)\/6 + 4). What is the common denominator of -67\/18 and ((-37)\/(-185))\/((153\/(-305))\/p)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 6. Suppose 11 + 1 = 3*n. Sort l, n, 1 in descending order.\nAnswer: n, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -17, 4, 313794, -3.\nAnswer: -17, -4, -3, 3, 4, 313794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.005, -4 in ascending order.\nAnswer: -4, -0.005, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1597\/3 + 513. Let n = -130\/47 - -7631\/2538. Find the common denominator of c and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -35*y + 4. Calculate the remainder when x(-2) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 671 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2230891*y**5 + 2840*y + 78 wrt y.\nAnswer: 44617820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74.46 + 2.54. Sort q, 0.4, -1\/7, 1 in descending order.\nAnswer: q, 1, 0.4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 35*k - 178. Is 6 a factor of h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l + 26*l + 21*l.\nAnswer: 69*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882620 is divided by 941294?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38, 59, 96, 149, 218?\n\"Answer: 8*y**2 - 3*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2535032850025 + -3.\nAnswer: 2535032850022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 16*t**3 + t**2 + t + 1. Let m be n(-1). Let d be m\/25*2\/3. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:35 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -539704 at most -539663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2737 and 12336625?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17*k**2 - 136339*k - 136338. What is s(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from ayyaayy?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0*o**6 - 1\/60*o**5 + 0*o**4 + 0*o**7 + 4*o**2 + 0*o + 0 + 0*o**3 - 1\/336*o**8. What is the third derivative of v(z) wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92484 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.33289l to millilitres.\nAnswer: 52332.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(6) + sqrt(6) + sqrt(60)\/(sqrt(10) + sqrt(50)\/sqrt(5))))\/(((sqrt(80)*-3 + sqrt(80))\/sqrt(2))\/sqrt(10)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 4:43 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-126))\/(1379\/(-12411))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/294)\/(5\/(-24)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242761.\nAnswer: 31, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*s - 95, -10*y + 4*s = 9*y - 15*y + 76 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 200126564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*((-1 + sqrt(80))*-1 + -5)**2*5.\nAnswer: -485 - 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -393, 5, 0 in decreasing order.\nAnswer: 5, 0, -2, -3, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -7\/12*j**4 + j - 1\/180*j**6 - 2*j**3 - 4\/45*j**5 + 0 - 7*j**2. Determine w so that a(w) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513340 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266618 and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/8 + 5\/8. Put 0, s, 2 in descending order.\nAnswer: 2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 88339\nAnswer: -3180204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(76) + -2 - (sqrt(19) + sqrt(19) + 1 + -2 + (-2*sqrt(171))\/sqrt(9)).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a33 (base 13) to base 5.\nAnswer: 144001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*c + c + i, -5*c + 28 = 3*i. Suppose 2*b + 0*m = -4*m - 180, -5*m = -c*b - 510. Let w = b - -167. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43802676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -161, 2, -4156.\nAnswer: -4156, -161, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5205 + -8988?\nAnswer: -3783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-15)*12*(-27)\/72\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 121*v - 77. Give t(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 22*r**2 - 8*r - 12. Let o be x(22). Let z = 23 - o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 + 9*t**2\/2 + 54*t + 48.\nAnswer: -3*(t - 8)*(t + 1)*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/6, -1\/39168, -0.5, -0.3 in increasing order.\nAnswer: -0.5, -0.3, -1\/39168, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 76.2. Let t = x + 7. Let u = -2\/203 - 376\/3045. Which is the smallest value? (a) u (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 19. Sort 0.5, -2, h, -0.3.\nAnswer: -2, -0.3, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 320 - 320. Suppose g - 5*y = 3*g - 13, -12 = -4*y. Sort g, -5, m, -4\/3 in decreasing order.\nAnswer: m, g, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*h**4 - 31*h**2*s - 9069*s wrt h.\nAnswer: -116*h**3 - 62*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -17, 0.1, 5.967, 2\/3.\nAnswer: -17, 0.1, 2\/3, 5.967, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 6*c - 11*c + 1239931, 4*c + 5*o = 991994. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -4*b + 3*w, -4*b + 4*w - 2*w = -226. Let l = b + -52. Let y(o) = -l*o**2 + 9 + o**2 - 3085*o + 3079*o. Calculate y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, t: 1, k: 3}. What is prob of sequence yyky?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o**(2\/11))**(2\/99) assuming o is positive.\nAnswer: o**(28\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1681*c**3*f**2 + c*f**2 + 24*c*f + f**2 - 2*f + 1745 wrt c.\nAnswer: -5043*c**2*f**2 + f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*v**2 - 2*o**3*v + 1594*o**3 - 15*o**2*v**2 + 1615*v**2 - v wrt v.\nAnswer: 4*o**3 - 30*o**2 + 3230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let h(x) be the first derivative of 4 + 0*x**2 + 5\/3*x**3 + 0*x. Determine h(y(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 8*l**2 - 7*l - 1. Let g be t(7). Let r(a) = -46*a. Calculate the remainder when r(g) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*v**2*w**2*x - 5015*a**2*v**2*x - a**2*v*w**3 + a**2*v*w*x + 19*a*v*x - 44894282*v**2*w**3*x + 14*v**2*w**2 wrt w.\nAnswer: -6*a**2*v - 269365692*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 802 and 36?\nAnswer: 14436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x, -3*t - x = -0*x - 4. Let b be (-2 - 0) + (-72)\/(-2). Let d = t + b. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023676519 rounded to 7 decimal places?\nAnswer: -0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 0 + 2 - 2. Let q(p) = 4*p. What is l(q(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1\/6))\/p**2*(p*(p*((p**(2\/5)*p)\/p)\/p)\/p)**(-3\/31))\/(((p*p*((p**(-2\/3)\/p)\/p)\/p*p)\/(p\/p**(-4\/7)))\/(p**(-1))**(-29)) assuming p is positive.\nAnswer: p**(67341\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 - 7*g - 8. Let j be i(-6). Let v = 98 - j. Suppose -34 = -2*h + v. Calculate the greatest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2\/6 + 5104\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j - 448 + 502 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f + 22. Let j be z(11). Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*c**4 + 3*c**3 - 67*c?\nAnswer: -444*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 4. Let b be j(6). Let o be ((-63)\/2)\/(-7)*b. Suppose 5*a = -15, 0*f - o = -f - 4*a. Calculate the remainder when 41 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Suppose 0 = 2*o + t + t + 4, 5*o + 19 = -2*t. Let k be ((-4)\/o)\/(2\/5). Let m(u) = -2*u**2 + 5*u**2 - 6*u**k. What is y(m(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -69*m - 132. Let n(i) = -i**2 - 137*i - 260. Let h(r) = 3*n(r) - 5*s(r). Factor h(j).\nAnswer: -3*(j + 2)*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(0 + -2*sqrt(320) + (-3 + sqrt(320))*3))**2*-4.\nAnswer: -6416 + 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2*h**2 + 0*h**2)*(1 + 0 + 1) + h**2 + 41*h**2 + 9*h**2 + 2*h**2 - 4*h**2 + h**2 + 3*h**2 - 4*h**2 - 3*h**2.\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303037 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5099.3 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2\/2 - 8*d + 3. Let q be a(-8). Suppose 0 = -5*l + 25 - q. Solve f = -y + 2, 30 = -3*f + 6*f - l*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 81, 0.5, 5, 8?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 + 4*l + 21. Let p be u(8). Let f = 302 + p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 7. Let l = -2 - -7. Let h be t(l). Suppose 18*z = 9*z + 45. Solve y - z = -h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154100 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = x + 4, -2*x - 1 = x - 4*f. Let s be (-10 + 4)\/(x\/(-5)). Suppose 2*u = -3*u + s. Solve 2*i = -u, -2*o + 0*i + 6 = -2*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -409 - -950. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/560146 and 9\/190688?\nAnswer: 8962336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/984 and -55\/967026.\nAnswer: 3868104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j + 5. Let v(l) = 2*l + 3. Let k(q) = 3*d(q) - 5*v(q). Let x(o) = 3*o. What is k(x(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u - z + 15772, 0 = -2*z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3)*(-1 - -2). Let n(b) = 5*b - 30. Let r be n(10). Let k be 1 + (-1)\/(4\/r). Put k, 1, u in decreasing order.\nAnswer: 1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, 4, -24\/29, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95436901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (30566\/(-85))\/((-6)\/5 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/(4136\/(-660)))\/((-15)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:40 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 57. Find the second derivative of -12*x - v*x + 5*x**5 - 34*x**5 - 4*x wrt x.\nAnswer: -580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2. Let c(y) = -8*y + 2*y - 6*y**2 + 6*y. What is k(c(n))?\nAnswer: -180*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2. Let z(t) = 3*t**2 - t - 7*t**2 + 0 + 1 + t**2. What is 4*x(o) - z(o)?\nAnswer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - i**2 + 4*i**2 - 2*i**2 + 0*i**2 + 4*i**2 + (0*i - 3*i + 2*i)*(-i + 2 - 2) - 46*i - i**2 + 12*i - i**2.\nAnswer: 2*i**2 - 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -481*a. Let f(l) = 25972*l. Let r(g) = 215*b(g) + 4*f(g). Let j(o) = -27*o. Determine -88*j(n) - 5*r(n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*f = -1, 0 = -3*d + 4*f + 7 - 2. Let g = 0.036 - 1.036. Sort 0.5, d, g in decreasing order.\nAnswer: d, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 6943889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -235*c**2 - 15*c + 15. Determine i(1).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114538.\nAnswer: 2, 57269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15495 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 411b4 (base 12) in base 8?\nAnswer: 245730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3. Suppose -k - 1 = -6. Suppose 4*m + 8 = -l - 2, -12 = k*l + m. Let f(b) = -2*b**3. Give l*f(p) + 6*g(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*p - 12, -181 = 5*p - v - 177 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -698.6 - -561. Let t = i + 13.6. Let p = 123.9738 + t. Round p to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 times 0.351\nAnswer: -2.6325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(1 + 5 - 4 + (1 + 3 + 0)*(-4 + 0 + 2) - 3 - 5 - 4)*(2*h - 5*h + 2*h) in the form d*h + c and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-15\/7)*n)\/n)\/(n**(-4\/13)*n) assuming n is positive.\nAnswer: n**(-258\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13114.\nAnswer: 2, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42968 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16*((-6)\/36*-18 - (1 - -1)). Put 2, 40, 1, y in descending order.\nAnswer: 40, y, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 302915764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45429 - 25715. Let l = t + -512667\/26. What is the common denominator of l and -99\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*c + 18 - 113 = 220. Suppose 0*y - 4\/7*y**4 + 32\/7*y**2 + 4*y**c + 0 = 0. What is y?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57216.3 years to months.\nAnswer: 686595.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -3)\/(18\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 46*z - 371. Calculate g(35).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229*z - 81*z - 64*z - 318*z + 146*z to the form n*z + q and give n.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*0.01734\nAnswer: -0.041616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 6. Suppose o*q - 8 = -2. Find the third derivative of -2*w**3 + 0*w**q + 4*w**4 + 2*w**3 - 3*w**2 wrt w.\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - -326*38\/(-140). Let w = -88 - p. Which is the second smallest value? (a) 1 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 35.70375 months?\nAnswer: 0.0029753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310312133 + -3?\nAnswer: 310312130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 6*m - 4. Let t be (-21)\/(-14) + 58\/(-4). Let v = t + 19. Calculate j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -43. Suppose n = 5*v - 24. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 + 3652\/(-88))*(168\/(-82) + 2).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064597 rounded to 3 dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170362 - 55664 - 50*v - 55671 - 59027.\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15477 + -17.\nAnswer: -15494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Suppose 0 = z - l. Let x(j) be the third derivative of -7*j**5\/60 - j**4\/24 - 4*j**2. What is x(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 6. Let h be a(7). Let c(f) = -4*f + 31. Let k be c(7). Suppose -5*r - 35 = -5*z, k*z + 4*r - 26 = -2*z. Solve z = j + h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 38*q. Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781280 divided by 4.\nAnswer: 195320","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**2 - r + 6. Let v = 56 - 53. Let o be k(v). Let t = o - 56. Put t, 13, -4 in descending order.\nAnswer: 13, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2259*o - 1127*o - 1121*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*g**3 + 531*g + 9 - 23*g**3 - 531*g - 8.\nAnswer: 156*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -2*d**2 - 1\/15*d**4 - 2\/15*d**5 + 0*d + 0 - 1\/12*d**6 + 0*d**3. Suppose t(r) = 0. Calculate r.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + 1. Let l = 1 - k. Let d be 24\/(l - 4\/(-3)). What is the highest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 9*c + 13*c)*(-2*c - 3 + 3)*(3 + 14*c + 20*c - 48*c) to the form r*c + j*c**3 + w*c**2 + u and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199405396.\nAnswer: 2, 47, 269, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from docgncd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 19*i**2 - 837*i + 8523. Calculate p(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -109 (b) -0.2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -373a (base 16) to base 10.\nAnswer: -14138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 + -11?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5, -8 in increasing order.\nAnswer: -8, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*2\/(-4)*21. Calculate the remainder when 38\/(-4)*u\/(21\/(-48)) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*o + 10, -o + 4*o = -5*w + 25. What is the closest to 4 in o, 1, -1, 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40465 = 2*c, 3*t + c = 11485 + 12805. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 3*w - 52, 5178*w + 4 = -2*a + 5183*w for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 176*u - 1. Let o(m) = 5*m. What is a(l) - 4*o(l)?\nAnswer: 156*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6114, 1356, -3402, -8160, -12918, -17676?\nAnswer: -22434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = -5*u + 7*u - 2*i, 0 = 5*i + 20. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732788?\nAnswer: 2, 7, 26171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1513 - -2265. Calculate the least common multiple of 94 and f.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptptpttptppt. Give prob of sequence tt.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*z, 18*s + 5 = 3*z + 17*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2259, -2256, -2275, -2322, -2403, -2524, -2691?\nAnswer: -2910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157175 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f + 4 + 3*f + 3 + 5*f**2 - 1. Let k(d) = d**2 - d + 1. Let a(h) = 6*k(h) - r(h). What is the second derivative of a(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z + 20. Suppose 12*x + 131 - 59 = 0. Give p(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -1, -57, -169, -355, -633?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882 + 81*q - 882.\nAnswer: 81*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l + 8. Let f(u) = 2*u - 1. Let r be f(2). Suppose 0 = r*w - j - 156, w - l*j - 41 = 16. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = 3*k + z, -17 = -k - 5*z. Suppose -k*u = 6 - 60. Suppose -8 = 25*b - u*b. Solve -3*x + 3*s - 6 = 0, -b*x + 8*x + 9 = 5*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*((sqrt(99) - (sqrt(99)*2 + sqrt(99))) + sqrt(99)) + sqrt(99))\/(sqrt(9) + sqrt(9)*-4*-2 - sqrt(9)) + -4)*-3*3)**2.\nAnswer: -405*sqrt(11) + 105219\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 6, c: 9, p: 2}. What is prob of picking 1 c and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27271790 divided by -23.\nAnswer: -1185730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/(-6))\/(4\/24). What is the highest common divisor of d and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/((-2)\/4). Which is the nearest to m? (a) 1\/5 (b) 3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7\/(-21))\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10e + -1edd1?\nAnswer: -1eee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*u + 1176 - 921 = 4274 + 2662 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 5*n**2. Let d(l) be the third derivative of -l**5\/60 - 6*l**2. Let m(r) = -r - 4. Let v be m(8). Let s = -2 - v. Determine s*d(c) - 2*u(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2. Let p(i) = -52*i**2 + 115*i**2 - 61*i**2. Calculate p(m(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 4. Let d be z(0). Let y = 147 + -150. Let f be y*2 + 12 + -6. Solve -d*v + 25 - 9 = f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42584677.\nAnswer: 17, 2504981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s - 64*s + 64 = 0. Suppose 16*u - s*u = 3*u. Solve -2*t + u = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/12 - 2*m**3\/3 + m**2 - 2*m. Let g = -533 + 528. Give l(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 43*z**2 - 13*z**2 + 105*z**2 + 3*z**3 + 1 - 26*z**2 + z**4 in the form m*z + q*z**2 + b*z**4 + k + f*z**3 and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from jjjdjbbpttb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -299221, 2 in descending order.\nAnswer: 3, 2, -3, -299221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1296 = 9*i. Let n = -106 - i. Solve 2*r + 2*k = -2*r + 6, 0 = n*r + 3*k - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5\/15 + (-136)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -q + 5*d, -5*q - 41300 + 41294 = 3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/8134714 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -569432 divided by -142358\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-10))\/(3\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*u - 2 + u - 2*u + 2*u + (4 + 0 - 5)*(-3*u - 3*u + 3*u) in the form n + z*u and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**3 - 3*k + 3. Let j be s(1). Solve 2*i + j = -4*t - t, 0 = -4*t - 2*i - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/66 - 2*1\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6877\/7 - -419403\/427. Let d = 4\/61 - s. Let k = 2 + -2.1. Which is the third biggest value? (a) d (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5 - 9580*v**4 - 296244*v**3 - 2149146*v**2 - 5930523*v - 5672106 = 0. Calculate v.\nAnswer: -9549, -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2\/9 (c) -0.1455 (d) -3 (e) -2 (f) -1\/4 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, -4, 1, -7, -27 in decreasing order.\nAnswer: 24, 1, -3, -4, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2837966 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(3)*-1)\/(sqrt(90)*2))**2 + ((-3 + sqrt(5) + -3 - -1*sqrt(15)\/sqrt(3))*-5)**2.\nAnswer: -600*sqrt(5) + 50405\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 266102*u - 7 - 268614*u as l*u + q and give l.\nAnswer: -2512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3725?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345 - 340. Solve 3*u - 8 = k*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 4, q: 1, u: 2, i: 2, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 - 100. Let x(j) = -28*j**3 + 3*j**2 - j - 1. Let a be x(t). Let l be 0 - 223\/(-5) - a\/(-45). What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18930 and 5048?\nAnswer: 75720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, -105, -368, -649, -954, -1289, -1660, -2073?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5236160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-1)*(13 + (-606)\/48). Sort 2\/9, 2\/3, -3\/5, l.\nAnswer: -3\/5, 2\/9, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(3\/8)*m*m)**46*m**(-1\/3)*m**(-1\/3)\/m assuming m is positive.\nAnswer: m**(2395\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - o + 4)*(3 + 1 - 3) + (-9*o - 19*o - 18*o)*(2 + 1 - 1) to the form x + w*o and give w.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (2 + (-2 - -616650)). Let p = -327651 - o. What is p rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265629a (base 12) in base 15?\nAnswer: -9eab44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128555922 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: Let p = 25 - -215. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 7 = 4*v. Let p be 6\/(-4)*v\/(-5). Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 411 = 3*j - 0*z, -4*z = -j + 127. Calculate the greatest common factor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1001 (b) 21.3 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8201367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hssomhuqommhshshos. Give prob of picking 2 o.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 3, n: 2, h: 4}. Give prob of picking 1 u and 2 n.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 4:01 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8125503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45389.\nAnswer: 45389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -810 - a2?\nAnswer: -8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*3*25\/180.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 87. Let k be q(18). Let j be k\/((-6)\/(-2)) + 2490001. What is j rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((sqrt(42)*1)\/sqrt(7))\/sqrt(2))**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 19*m**3 - 10*m**2 + 2*m + 8. Let u(v) = 94*v**3 - 55*v**2 + 11*v + 41. Determine -11*o(g) + 2*u(g).\nAnswer: -21*g**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002375 rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3465, 3298, 3143, 3006, 2893?\n\"Answer: l**3 - 174*l + 3638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - i - 4 = 0, 323 - 320 = 2*u - i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 29 = 5*t, 2*r = 4*r - 2*t + 2. Suppose r*z - 718 + 80 = -5*b, 0 = 3*z + 9. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 - 4*s**2 - s**2 + (s - 2*s + 0*s)*(-3*s + 4*s + s) - 16*s**2 - 37*s**2 - 26*s**2.\nAnswer: -89*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**5 - 70*d**2*z + 2*d + 118*z wrt d.\nAnswer: -140*d**3 - 140*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 458 = -5*l + 2661, 2*l + 5*y = 871. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 9. Let d = 52 + c. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzjppjjjjje. What is prob of sequence jj?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b02 (base 14) in base 13?\nAnswer: -9957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/7 + 509*m**2\/7 + 7454*m\/7 + 21736\/7 = 0.\nAnswer: -494, -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2503 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/2 - 492*b + 983\/2 = 0.\nAnswer: 1, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13666247 + -6?\nAnswer: 13666241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/96237808 and -17\/1956.\nAnswer: 288713424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -0.2, 16, -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -191, -287?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**3 - 11 + 11 - 34*v**3 - v to the form a + l*v**2 + t*v + n*v**3 and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -892654, -1785363, -2678062, -3570745, -4463406, -5356039?\nAnswer: -6248638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/3 - 1\/15. Let p be (0 + 6\/(-189))*3. What is the nearest to w in 2, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 2*d + 1 + 0*d - 4*d - 7*d as m*d + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33982, -135966, -305942, -543910?\n\"Answer: -33996*m**2 + 4*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b4 + -34170?\nAnswer: -33878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 24*c - 116. Let x be n(-7). Solve 5 = -4*z - x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + v - 20 = 0, 3*q + 2*q - v = 25. Differentiate -3 - q*m + 4*m + 26*m + m with respect to m.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - -0.4. Let p = -0.1 - 0.03. Let k = p - -0.08. Are k and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.4, -6\/11, -0.9?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220217 + 339576. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/2 + 8*b**4 - 14*b**3 - 73*b**2 + 29*b\/2 + 65 = 0. What is b?\nAnswer: -2, -1, 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1903 - -1903. Is 9\/29 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*z**2 + 121*z**2 - 25*z**2.\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + c)*(-4 - c + 4)*(-3 + 0 + 2) + (c**2 + 0*c**2 + 3*c**2)*(2 - 6 + 1).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 13}. Give prob of picking 3 u.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 48. Let l = 3.9 + -4. Which is the nearest to o? (a) 5 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 + 3 = 0. Suppose a*r + 40 = 8*r. What is the units digit of (-52)\/(-5) + 6\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -2*g - 369. Let h(c) = -14*c**3 - 6*c**2. Let n(w) = -27*w**3 - 11*w**2. Give g*n(z) + 11*h(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 5\/4, 2.11?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**3 + k**2 - 1. Let r be p(1). Let y(i) = 7*i - 5. Let b be y(r). Suppose -2*g = -b - 198. Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*t + 5. Solve q + 5*n - 6 = 0, 1 - t = q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 + 113 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 723737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1789, -1585, -1245, -769, -157, 591?\n\"Answer: 68*t**2 - 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/12*(-1800)\/(-7425).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 14*o**5\/17 - 20*o**4\/17 - 126*o**3\/17 + 236*o**2\/17 + 88*o\/17 - 240\/17 = 0.\nAnswer: -3, -1, 10\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 8*y**2 + 8*y + 10. Let g be m(-7). Suppose -1 = -2*i + 5*t, 0 = 4*t - t - g. What is the derivative of 8*z**i + 1 - 2 + 4 - 6*z**3 wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446012253?\nAnswer: 3, 617, 653, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 551 + -532. Suppose t + 3168 = r*t. What is the remainder when t is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92720617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -13*q**2 - 167*q + 16. Calculate n(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h. Let v(j) = j**2 + 85*j + 101. Give m(v(l)).\nAnswer: -4*l**2 - 340*l - 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/11 (b) 17 (c) -2.3 (d) -0.2 (e) 4 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -53 (b) 1\/103 (c) 2\/7 (d) -8 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0*i - 3*i - i) + (-25 + 261 - 43)*(4*i + 2*i - 3*i).\nAnswer: 575*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/45*5*2\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1443*a**3 + 1667*a**3 + 2.\nAnswer: 224*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -25*l**2 + 7*l - 9. Let w(x) = 13*x**2 - 4*x + 5. Determine -5*w(t) - 3*y(t).\nAnswer: 10*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5528 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**48 assuming w is positive.\nAnswer: w**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 1624328 = 7*h + 10411668. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -536 and -8.2?\nAnswer: 4395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 995828 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 3*l + 9. Let p be (6 - 3)\/((-9)\/(-24)). Let x be y(p). Let h = x + 31. Solve 3*d + 7 = -h*v + 5*v, -4*d + 2*v = 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:03 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8589*a + 50111. Determine r(-6).\nAnswer: -1423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/2 + 6*t**4 + 15*t**3\/2 + 3*t**2 = 0 for t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000074919 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -740 - -757. Calculate the remainder when 829 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0 - 18*s**2 + 0*s**3 - 1\/240*s**6 - 1\/60*s**5 - 1\/48*s**4 + 0*s. Find h such that o(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 848166+-32\nAnswer: 848134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -666 + 722. Suppose m*v = 45*v + 473011. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122351367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-1100)*16)\/(3\/2)*-5.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -113750 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1331) + sqrt(1331) + 2 - (sqrt(1331) + ((sqrt(1331) - (-1*sqrt(1331) + sqrt(1331) - sqrt(1331))) + sqrt(1331))*3))*2)**2*-5 + -2.\nAnswer: -1703862 + 10560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l = 2*a - 338, 0 = 3*a - 2*l - 475. Let b = -1768\/11 + a. Is b >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sax when three letters picked without replacement from {a: 2, u: 2, r: 1, x: 2, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.946 rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8243387 months to years.\nAnswer: 0.152028225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 13*r - 6. Let a(x) = 4*x + 23*x + 1157312 + 15*x**2 - 1157325. Determine -6*a(s) + 13*h(s).\nAnswer: s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v**3 + 17*v**3 + 16*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -11\/10 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3934)\/1405)\/(6\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -107, -223, -391, -617, -907?\n\"Answer: -o**3 - 17*o**2 - 12*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/7, 0.4, -7657, 5\/4.\nAnswer: -7657, 0.4, 3\/7, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5716270 is divided by 300?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3 = -2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6390357979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*o - 68, -3*o - 5*g = -4*o + 8. Suppose 0 = -2*d + 4*d - o. What is the least common multiple of d and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**4\/2 - 6*i + 1. Let b(q) = -3*q**3 - 5. Suppose 9046*f + 55967 = 1691. Determine f*b(u) + 5*t(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y + 1969 + 2081 = -4050 for y.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-43 + 1080\/27)*14\/12*-4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 3*m - 6. Let b be g(-4). Suppose -4*q + b = -98. Suppose 5*c - q = -4*i, i = 4*i - c - 41. Calculate the remainder when 38 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -83. What is the remainder when t is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 7. Let h = -1 - -3. Let c(x) be the first derivative of -3*x + 1 + 3*x**2 + 9*x - 4*x**h. Determine 6*c(p) - 5*k(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -640.7 + 642. Let n = -38 + 38.5. Which is the second biggest value? (a) s (b) n (c) -0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**2 + 25*j - 72*j + 26*j + 21*j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 9*f + 20. Calculate l(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-20)\/(-210))\/((-1)\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -732 - -21230\/29. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -29*r - 2711. Calculate j(-105).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4\/6 - 1022*x**3 + 4678667*x**2\/3 + 21984242*x + 462723121\/6 = 0.\nAnswer: -7, 3073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose 3*i - 65 = -b*i. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2 + 2 - 3 - 6*o + 3 - 2*o - 4*o + 5*o + (-5 + 2 + 2)*(-2*o - 3*o + 6*o) - o - 4 + 4 + 2*o + 0*o + 0*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - x**2 + 6 - 1 + 164*x**3 - 165*x**3 as g*x**2 + a*x**4 + d + z*x**3 + n*x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 445*g**2 - 46*g + 27. What is z(1)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-1\/3)\/c)*c)\/c)**(-10\/19)\/(c**(-1\/3)\/c**(-2\/5)))**(-4\/33) assuming c is positive.\nAnswer: c**(164\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/120 + o**5\/12 - 5*o**4\/24 + o**3\/6 - 11*o**2. What is m(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-2))\/4)\/(3\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 - 1940658*v + 10*v**2 + 1940655*v - 1 - 2. Let b = -2 - 1. Let m(n) = n**3 + n**2 - n - 1. Determine b*m(x) + i(x).\nAnswer: x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 112.6. Let s = -0.19 + 8.19. Let m = s - n. Round m to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5 + 7. Let n(h) = -h - 2. Let c be n(-5). Suppose -c*m - 2 = d. Let b(q) = q**2. What is b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*17\/2499)\/((-2)\/18)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4832671*r**3 + 13*r + 218920?\nAnswer: 28996026*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6157403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13156056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4455) - sqrt(55) - ((sqrt(165)*-1 - sqrt(165)) + sqrt(165) + sqrt(165))\/sqrt(3))\/(-3*1*(sqrt(20) + sqrt(20) + sqrt(1280))\/sqrt(4)))**2.\nAnswer: 15059\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -13. Let w = -3 + -8. Let d = m + w. Sort -5, d, 3 in decreasing order.\nAnswer: 3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-1)\/4*-1). Suppose i*t - 38 = 62. Suppose -x - 3*u + 2*u = -7, -t = -3*x - 2*u. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*u*x**2 - 3*i**2*u*x + 2*i**2*u - 2427*i**2*x**2 - i*u*x**2 - i*x + 84*x wrt x.\nAnswer: -4*i**2*u - 4854*i**2 - 2*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.06434ms to microseconds.\nAnswer: 34064.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-4 - -17))\/2. Solve q*k + 0*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -25. Let s = b + 14. Suppose -s*k + 2*h = -k - 158, 5*h - 249 = -4*k. What is the greatest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569 is divided by 68.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46.1 - 1246483.\nAnswer: -1246529.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 65, 4, 1.22738 in descending order.\nAnswer: 65, 4, 1.22738, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(23*q - 20 - 36*q + 18*q)*(2 - 2 + 1).\nAnswer: -10*q + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18610717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 611.6537 nanoseconds?\nAnswer: 0.0000006116537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -k + 69, k - 16 - 85 = 5*d. Calculate the remainder when k is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 2197058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*b - 10, -5*k + 17 = 82*b - 86*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18 + 85*d**5 + 17 + 15*d**2 - 36 wrt d?\nAnswer: 5100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 230 = -3*w, -2*r + 10*w - 6*w + 92 = 0. Let n(f) = -18 - 19*f - 17 - 22 + r. Let t(k) = -5*k - 3. Calculate -6*n(q) + 22*t(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010000 - -101001001?\nAnswer: -1100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 3*c - 4\/3*c**3 + 1\/2*c**2 + 0. Let r(h) = -h**2 - 2*h + 1. Let i be r(1). Let w(v) = -v. What is i*l(o) + 18*w(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -873307?\nAnswer: -104796.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -4*z + 9, 4*m - 5102*z + 5101*z = 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.5 (c) 1\/3 (d) -0.08 (e) 7 (f) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/(-5))*8848\/(-3160)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4511 + -13c?\nAnswer: -464d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:56 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -9. Let l(c) = 9*c - 5. Is l(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + 347*h + 3527. Let z be c(-57). Let m = 3.2 + -3. What is the nearest to -1\/4 in 6, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -28*d**3 + 4*d - 3. Let x(m) = 55*m**3 - 9*m + 7. Let z(y) = 9*a(y) + 4*x(y). Let w = 1 + -2. Is z(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/4 (b) 1\/6 (c) -0.038 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/20 - c**4\/24 + c**3\/3 + 3*c**2. Suppose 2*w + 3 = 2*x + 11, x + 8 = 3*w. What are the prime factors of a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -2*q**2 + 9*q + 1. Let x(n) = -7*n + 17. Let t(z) = 11*f(z) - 6*x(z). Calculate t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35583, 36192, 36793, 37386?\nAnswer: 37971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65458947329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40032746917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1677 = 142*o + 215*o + 2250 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:37 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22 + 0 + -10 + 11. Let v(r) = -3*r + 98. Let i be v(m). Calculate the greatest common divisor of 87 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (68\/(-8))\/(((-78)\/(-24))\/(-13)). Which is the second smallest value? (a) u (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i**2 - 4*i - 8. Let m(x) = 13*x**2 - 3*x - 7. What is 4*m(g) - 3*w(g)?\nAnswer: 10*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5092361818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 16*i**2 + 298*i + 49. What is a(-27)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 = 62*b + 37 + 180 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/(1\/5). Suppose -5*l + 15 = 5*y, -78*l + 81*l + 9 = 3*y. Sort -1, q, y in descending order.\nAnswer: y, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let y(b) = 53*b - 797. Give y(p(s)).\nAnswer: 53*s - 797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 9*d - 78. Let a be u(19). Let i = 292 + a. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5 + 288*w**4 - 11196*w**3 + 59624*w**2 - 86802*w + 38088 = 0.\nAnswer: 1, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1557 = 4*t, -99*t = 2*i - 96*t - 1038. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(104) - (sqrt(104) - (sqrt(104) + sqrt(104)*2) - sqrt(104)))*-3*3)\/(sqrt(80)\/(sqrt(10) + -4*(sqrt(10) - sqrt(250)))).\nAnswer: -612*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(16)\/sqrt(4)*-2))**2*-6 + 5.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7827 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-7) + 24\/1764*21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkw when three letters picked without replacement from kkwkpwpkkkwkwkpk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let f(k) be the third derivative of -k**7\/630 - k**4\/8 - 4*k**2. Let m(d) be the second derivative of f(d). What is m(o(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-24)*2)\/(147\/(-336))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17143720 is divided by 541.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*y + 121 = 180*y. Suppose 0 = -2*i + 3*i - 88. Calculate the greatest common divisor of i and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*r**5 + r**4 + 41956*r**3 + 7344630*r**2?\nAnswer: -2520*r**2 + 24*r + 251736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 483 = -4*f. Let l be 4\/10 - (-193)\/f. Let d = l + 16214\/2415. Find the common denominator of d and 42\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27918985*i**5 + 201*i + 10534.\nAnswer: -558379700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -154245 divided by -21\nAnswer: 7345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 2428652*t.\nAnswer: 2*t*(t + 3642978)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4366 + -4365. Let w(u) = -3*u**3 - 7*u**2 - 5*u + 6. Let d(h) = h**3 + h**2 + h - 1. Determine t*w(c) + 6*d(c).\nAnswer: 3*c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {p: 2, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:40 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 3:26 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*h + 8052, 2*h - 10079 = -5*q + 3*h. Let w = q - 1428. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209302871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/37430 and 21\/95?\nAnswer: 37430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -77*p - 11324. What is y(-147)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/2 - 599535*o - 119814072075\/2.\nAnswer: -3*(o + 199845)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 19*k = -1945. Suppose -14508 = k*z - 402*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4891869.\nAnswer: -2\/4891869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(0 + 1) - -4. Let a = j + -2. Suppose p = 2*s - p - 12, -2*p - a = 2*s. Solve 2*h + s*h - 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 + 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*g - 533*g = -5*m - 6, 0 = -g - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/572 and 103\/968?\nAnswer: 12584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Let b be k + (-1)\/(-2)*-6. Let n = b - -26. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141868*w**2\/9 - 567470*w\/9 + 8\/9.\nAnswer: -2*(w + 4)*(70934*w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(35 - 30*v**4 - 35 + (v**2 + v**2 - 5*v**2)*(4 - 4 - v**2) + v**4 + 2*v**4 - 4*v**4).\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*q - 441*q + 84*q.\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v. Let y = -28 - -39. Is 12 a factor of g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.663.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013130022 - -10?\nAnswer: -3013130012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - -13)*(-3)\/(-5). Suppose 0 = z*y + 8 - 20. Suppose -d + y*d - 294 = 0. What is d rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 25*f**2 + 2*f + 5. Give k(-25).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -325*w**7\/42 - w**3\/3 + 475*w**2\/2 + 25*w - 1. Find the second derivative of f(p) wrt p.\nAnswer: -6500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/60)\/((-4)\/(-10)). Let a = 7 - l. Suppose 6 + 4 = a*b. Calculate the lowest common multiple of 3 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233823 is divided by 6306?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212522 is divided by 1156.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 25128\/(-900) + 25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x - 7. Let k be z(2). Let n = k - -26. Let y(r) = -2*r**3 + 2*r**2 + 6*r + 4. What is the remainder when y(n) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 187.12?\nAnswer: -187.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -22043945.\nAnswer: 1\/2003995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10080 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 3*q + 280. Determine s(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbppcppdccprp. What is prob of picking 1 d and 1 p?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22064 = 300*t + 1171*t - 177*t + 282*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 160, 164, 170?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-48)\/56*(-7)\/2. Solve 9 + 3 = u*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 4. Let d(y) = y**2 + 3*y + 2. Let f be d(-5). Solve -o - f = -v*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a + 45*a - 15 = 0. Calculate the remainder when (70 - a) + 8 + -11 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*d + 197*d - 316*d**4 + 57*d + 1059*d**4 wrt d.\nAnswer: 8916*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*(p*p*p*p**(-28))\/p))\/p*(p**(-4\/15)*p)\/p assuming p is positive.\nAnswer: p**(386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at least as big as -822374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21882 and 4.\nAnswer: 43764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let u = 0 - i. Let y = 5936 - 5941. Put -2, y, u, 3 in ascending order.\nAnswer: y, -2, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 596583227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**2 + 752*g + 2244. What is c(-3)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.6, 6, 1 in descending order.\nAnswer: 6, 1, -6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from mpjjmjmmmjjjmpmj?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 2:45 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2\/35609, 5?\nAnswer: 2\/35609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34384 + 0*s**3 - 2*s**3 + 258*s - 34383 + (-s + 1 - 1)*(-s + s + 2*s**2) + 0*s**3 + 2*s**3 - s**3.\nAnswer: -3*s**3 + 258*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, q: 2, n: 2, t: 1, b: 1}. Give prob of sequence qbh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66135*h**2*i**2 - 7*h*i**2 + 2347*h wrt h.\nAnswer: -132270*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(80)\/(5*sqrt(8)*-1))\/(sqrt(80)\/sqrt(4) + sqrt(10)\/sqrt(2)*-1))**2*3.\nAnswer: 96\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 309815?\nAnswer: 309815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(3484\/130)\/(-67)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2299, -10660, -24589, -44080, -69127, -99724, -135865?\nAnswer: -177544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**5 + w**3 + 6*w + 15.\nAnswer: -80*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -7600745.75?\nAnswer: 7600709.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = 0, -5*b = 4*y - 23 - 14. Solve -23*w + y*l = -20*w - 12, -2*w + 6 = -4*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 2*w**2 - 13*w - 2. Determine t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1640972947 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 61 = -20. Find the third derivative of -372*x**3 + 94*x**2 - l*x + 105*x**3 + 3*x - 49*x**2 wrt x.\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 46*s + 476. Calculate the remainder when 1885 is divided by y(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.002g to milligrams.\nAnswer: 137002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*u - 12, 10*u = -3*x + 6*u + 32. Suppose -c + 4*c = 2*y + 3, -3*y + x = 4*c. Solve 7*h - 13 - 22 = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/220339 and 85\/6468.\nAnswer: 203593236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47020 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572068041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5321.83 - -6060.3. Round p to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 723?\nAnswer: -1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 + 8*r - 429. Let a(y) = -16*y**2 + 14*y - 861. What is -3*a(x) + 5*d(x)?\nAnswer: 3*x**2 - 2*x + 438","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -6 - 9. Sort 2, s, -4.\nAnswer: -4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.36 and 15.1.\nAnswer: 5.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -24*t + 607. Give p(28).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -39*p**2 + 0*p**5 + 0*p + 1\/24*p**4 + 0 - 1\/60*p**6 - 8*p**3. What is the first derivative of f(r) wrt r?\nAnswer: -6*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14010*g**3 + 14311*g**3 - 4 + 4 - 31510*g**3 - 883*g wrt g?\nAnswer: -19134*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-9 - ((-13 - 53) + 16))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/24))**27)**(-31\/2) assuming p is positive.\nAnswer: p**(-279\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 24 = -2*y. Let h = -5337 + 5425. What is the greatest common factor of h and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**4 - 24471*x**3 + 1144038*x**2 - 4282596*x + 4184760 = 0.\nAnswer: 2, 43, 8110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92008 by 56.\nAnswer: -1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 11:45 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110 * 8.15\nAnswer: -896.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/((-201)\/2412)*(-48)\/15\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*j + 363 = -52*j. What is the remainder when 61 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4554*a + 4538*a + 4533*a - 13631*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5149995640 to the nearest one million.\nAnswer: 5150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:56 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -256 + 14?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2263653*g**4 - 4086029*g**2 wrt g?\nAnswer: -54327672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 0.87?\nAnswer: 6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6944 or -6942?\nAnswer: -6944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -416 divided by 13\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/39 - -7\/13. Factor -1\/3*x**3 - 1\/3*x - l*x**2 + 0.\nAnswer: -x*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210132 + -3?\nAnswer: -210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 265300 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 10. Let k be l(8). Calculate the greatest common factor of 72 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s - 8. Let i be z(6). Let l = i - -30. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -6 + (1 - 5). Let l be 2*(1 - q)*-2. Let u = -14 + 14.1. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 3*d + 5*d**2 - d**3 + 6*d + 6*d + 2. Let w be h(6). Solve 5*y = w + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1385 or -81240?\nAnswer: -81240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 4. Let k(m) = -11*m**2 - 18. Let t(f) = 2*k(f) - 9*s(f). Let q(b) = 95*b. Give t(q(d)).\nAnswer: 45125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdaddddrzrzrzzad. What is prob of picking 1 z, 2 a, and 1 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2858.9 + 2859. Which is smaller: -1845\/4 or s?\nAnswer: -1845\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13751 is divided by 3437.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010010011101 (base 2) in base 5?\nAnswer: -2322031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**6 - 8*r**5 - 1100*r**3 - 10015*r**2 - 4*r wrt r?\nAnswer: 240*r**3 - 480*r**2 - 6600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -291.1047591 rounded to 1 decimal place?\nAnswer: -291.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 43 = 8*m - 3*m, -6*s - s = 47*m - 46*m + 35 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7\/6 (b) 4 (c) 1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109237?\nAnswer: 313, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876894.\nAnswer: 2, 938447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 428 = -120. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 2:38 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 42636?\nAnswer: -554268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -435.41 - 7.59. Let a = z + 399.6. What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29.6, 3\/7, -12\/5, 0.2, 1, 2\/7?\nAnswer: -29.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 - -244. Let d be ((-6)\/15 - a)\/(1\/(-10)). Solve 2*l - 4 = d*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(88)*2*-3)\/(sqrt(96)\/(sqrt(12) + sqrt(12) + sqrt(36)\/sqrt(3)) + sqrt(32)\/sqrt(4)*-4).\nAnswer: -108*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -1\/2*l**4 + 1\/84*l**7 + 11*l + 4 + 0*l**2 + 13\/40*l**5 - 1\/10*l**6 + 1\/3*l**3. Factor m(o).\nAnswer: o*(o - 2)**2*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 28 + 372. Suppose -4*a + s = -2*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -51.5. Let x = -6 + o. Put 2, -0.3, 1, x in decreasing order.\nAnswer: 2, 1, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 448 = -2*x, -3*d - 660 = -3*x - 2*d. What is the remainder when x is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/12 + 19\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14040\/(-4368)*(-2)\/5)\/(6\/238)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 d when four letters picked without replacement from {h: 1, e: 2, d: 1, k: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/2*(-60)\/(-50)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*k - 5*d, 5*k + 4*d + 88 = 144 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -1\/4 (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {f: 6, m: 1, l: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 242.8 + -15. Let k = -228 + z. Which is the smallest value? (a) k (b) 1\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {z: 10, o: 9}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88 times -73\nAnswer: -6424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/357? (a) 2 (b) -4\/215 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3529.3 + 4012. Let f = c - 511. What is f rounded to zero decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 498\/21 + 4\/14. Suppose 2*l = -0*l - 28. Let k = l + 30. What is the greatest common divisor of b and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10340*w = 2*o - 10342*w - 12, -5*o + 8*w = -33 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 + 36*o - 9. Let u(s) = -s**2 + 7*s - 2. Let g(v) = -2*a(v) + 11*u(v). Let p be g(-6). List the prime factors of 2\/(-2) + p - -5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 5*i**2 - 11. Suppose -5*d - 9 = -34. Let h(o) = o**3 - o**2. Let y(s) = d*h(s) - b(s). Find the first derivative of y(j) wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-102) - (-1)\/(-3). Let q be -18*15\/6*2\/(-10). Suppose -5*z = -3*v + 20, -q*v + 11*v - 2*z - 8 = 0. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.34, -4\/5, 3, -3 in descending order.\nAnswer: 3, 0.34, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 57*t**3 + 28*t + 1374 - 1374.\nAnswer: 57*t**3 - 2*t**2 + 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 10, p: 2}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3038, -36, -119?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101000111101 (base 2) to base 7.\nAnswer: 160143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -2 (c) 2 (d) 2\/5 (e) 10453 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 15) to base 10\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 46*l + 45. Calculate o(-13).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Suppose 15 = 3*m + p, 4*m - 4*p = -q*p + 20. Suppose m*g + 5 - 20 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 8*m. Let b be (-2 - 8)*93\/(-186). Let x(k) = 3*k**2 - 7*k - 1. Give b*f(i) - 6*x(i).\nAnswer: 2*i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24963239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 90712 divided by -11339\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154071 (base 8) in base 4?\nAnswer: 31200321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321330 (base 5) to base 16.\nAnswer: -6761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 145\/40 - (-3)\/8. Solve -2*h = -2*g - 2, g + 10 + 0 = x*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(30)\/(sqrt(10) + sqrt(30)\/sqrt(3)))*3)**2*6.\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, 4, -3, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1046*l**2*y**2 - 16*l + 5*y**2 wrt l.\nAnswer: 2092*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j**2 - 11810*j + 248349. What is q(673)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -p + 55, 0 = 5*p + 2 + 23. Let b = l - -27. Which is smaller: b or 13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5\/3 + 5165*q**4\/3 - 1351550*q**3\/3 + 3000250*q**2 + 17926785*q + 14474295 = 0. Calculate q.\nAnswer: -3, -1, 11, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4172.1 - 4208.666. Round u to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4 + 12)*(-3615 + 3615 + 577*u) in the form n + z*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 2*f - 2, 4*f - 8 = -5*k. Let z = 0 + k. Suppose 4*j + j - 10 = z. Solve -j*s = -8 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 125, 352 in ascending order.\nAnswer: -4, -0.1, 125, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 37360584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-3290\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 - 2*w**2\/5 + 34*w\/5 - 6.\nAnswer: -2*(w - 3)*(w - 1)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 5) in base 15?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29015 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**8\/840 + 4*p**7\/175 - 7*p**6\/300 - 4*p**5\/5 - 5*p**4\/3 + 4690*p**2. Determine h so that c(h) = 0.\nAnswer: -2, -1, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwpwpw. Give prob of sequence wp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from vgggvvgggggggggggg.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -11. Suppose -z = n*z - 180. Suppose 74 = 3*j - 3*k - 13, -5*j = 3*k - 129. Calculate the greatest common factor of j and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 109*o + 336*o + 3.\nAnswer: 227*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 2 k when four letters picked without replacement from {o: 7, g: 4, b: 4, k: 3}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.35 times 0.2\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + c**2 - 11*c - 7. Let a be s(-3). Solve -a*w = 4 + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/12*(-56)\/70.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10)*(-9)\/9. Let j be (4\/(-10))\/(5\/(-875)*5). What is the closest to p in -1, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15907 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 38, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*c + 32*c + 7626. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x = k - 127, 0 = 5*k - 2*x - 662. Suppose -129*y + k*y - 30 = 0. Calculate the highest common divisor of 22 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*s - 5*s**3 + 766 - 764 - 2*s - 3*s - 29*s to a*s + b*s**2 + r + n*s**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14bb2 - 5b52?\nAnswer: b060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 24*q + 28*q - 20, -15*q = d - 36 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98225 and 491125.\nAnswer: 491125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 35.3. Let v = 2.7 + -2.3. Let t = 0.2 + -0.3. What is the smallest value in v, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 443 = 182. Let p = -99 - w. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/16 + 11\/48. Which is the biggest value? (a) 2 (b) 9\/7 (c) o (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 24. Let l be w(-12). Solve -2*q = 5*t - 3, 4*q - 18 = -l*q + 2*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 - 54*f**2 + 17*f**2 + 6*f**2 + 15*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15500.6291 to zero decimal places.\nAnswer: 15501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 3 + 141\/3. Let q = i - 31. Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2239 (base 12) to base 8.\nAnswer: -7315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2. Let z(q) = 711965*q. Calculate u(z(v)).\nAnswer: -506894161225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 - 86088*p**3 + 25744899*p**2 + 86088*p - 25744896 = 0.\nAnswer: -28992, -1, 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3825.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237578 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/10)\/h)*(h\/(h\/(h\/(h\/(h\/(h*h**(-2\/97)*h*h*h))))*h))\/h)\/((h**(-34)\/h)\/((h**(2\/65)*h)\/h)) assuming h is positive.\nAnswer: h**(405429\/12610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.5. Let w = 3394\/3 + -1132. What is the closest to w in -2, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 1406942*i - 25324632.\nAnswer: -(i - 1406924)*(i - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z**4 + z**5 + z**2 - z**3 + 116*z**4 - 58*z**4 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, k: 7, w: 2, c: 1}. Give prob of picking 1 c and 2 w.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnh. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/15068 greater than 560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14 = -3*t - 2*t, -3*h - 2 = -2*t. Suppose 38 = 4*k + 14. Let v be (k\/t)\/((-20)\/16). What is the biggest value in -1\/4, -4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5159 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -9.8. Let l = d - 0.4. Let b = l - -0.2. Is b less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858 = -4*q - 2*q. Let b = q - 75. Suppose 40 = -4*p + b. Which is smaller: p or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160363 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 17 = -m, 2*n = 3*m - 0*n + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Suppose s + c = 4. Suppose -3*o - 2*q + 35 = -3*q, 4*o + s*q = 64. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.385 - 23.685. Let x = 32.3 + p. Which is greater: -28 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 6*q - 46 + 15 + 50 - 177.\nAnswer: 6*q - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + ((sqrt(875) - sqrt(875)*2)*-1)\/(-4*sqrt(28)*-1) + -5.\nAnswer: 5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59420028721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 576055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 + -22 - 2*1. Suppose -2*l - 316 = -d*n - 3, 12 = -3*l. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/(-7) + 13)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*i + 30 = 2*i, -4*p = 2*i - 16. Suppose 3*k = 4*f + 61, 4*k + 2*f = p + 113. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -210 (b) 2\/5 (c) -0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.487 and 1.\nAnswer: -0.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 - 49*v**2\/3 + 210*v + 8976.\nAnswer: -(v - 24)*(v + 22)*(v + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2974165 by -5.\nAnswer: 594833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = 5*k - 5*y, 4*k - 75710 + 75959 = 3*y for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 402, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590281 is divided by 5635?\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65941371 to the power of 1\/2, to the nearest integer?\nAnswer: 8120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -582 - 548. Let h = -669 - -1295\/2. What is the common denominator of h and o\/(-8) + 4\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31 (b) 8 (c) -2 (d) 0.51 (e) 4 (f) -5 (g) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*b*f**3*g**3 + 2*b*f**3*g**2*w + b*f**2*g*w - 2*b*f*g + 38*b*f + 60*b*g**3*w + 5*f**2*g**2*w - 6*f*g**2*w wrt g.\nAnswer: -648*b*f**3 + 360*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 257*(2 - (-32)\/(-14)). Let n = w + 4881\/70. Find the common denominator of 1 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428918882.\nAnswer: 2, 7, 19, 1612477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnnbjhnhjvb. What is prob of sequence jnhj?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 108, 106, 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26435*l**2 + 94*l - 2219213.\nAnswer: 52870*l + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 19, 4, 5, 16 in increasing order.\nAnswer: -3, 4, 5, 7, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99736 - 55937. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from tttttutttttttutttt?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -186*f. Let t(r) = -54*r**2. What is t(p(g))?\nAnswer: -1868184*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/9 + 271144*y**2\/9 - 20347202*y\/9 - 20618344\/9 = 0.\nAnswer: -135647, -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a millennium in centuries?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g + 36. Is (-60)\/(-9) + (-3)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10017 take away -163.5533?\nAnswer: 163.45313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*4*-2)\/(-2*sqrt(768) + sqrt(12)) - ((-4*1*sqrt(147) - sqrt(147)) + 2 + sqrt(147)*2)**2.\nAnswer: -1327 + 1268*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24408 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-648)\/66) + (-510)\/(-204)*(-4)\/5\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 189611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/6)*v)\/(v*v\/v**(-1\/3))*v**(-2\/23)*v**(-3\/5)*(v*v\/((v\/(v*v**(2\/13)))\/v))\/(v*((v\/v**(2\/15))\/v)\/v)*((v\/v**0)\/v)\/(v\/v**(-6)) assuming v is positive.\nAnswer: v**(-52921\/8970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by 5620.\nAnswer: -67\/2810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 36. Solve -h + 3 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.4 from -554917.\nAnswer: -554922.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -13073\nAnswer: 1\/13073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 211454*w - 211458*w + 2*w**2 - w**2 - 5*w**2 - 3. Let r(j) = -j**3 - 3*j**2 - 5*j - 3. Calculate 4*d(a) - 3*r(a).\nAnswer: 3*a**3 + a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.011187 millimeters to micrometers.\nAnswer: 11.187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.861 + -5\nAnswer: -8.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.981 minus 7942.6?\nAnswer: -7599.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1121*n**3 + 6787*n**2 - 25*n + 4175661 wrt n?\nAnswer: 6726*n + 13574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.97 - -0.07. Let u be 405\/90*-2*(-2)\/(-24). What is the closest to 0.1 in u, -2, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/414296 and -31\/828592.\nAnswer: 828592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 14. Let j be l(6). Let m be j\/4 + -2 + 75\/(-1). Let k = 121 + m. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 117*a + 68. Let s be m(-59). Solve 4*d = -5*r + 20, 12*d = s*d - 5*r + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**4\/4 - 8*u**3\/3 - 3*u**2 + 9*u + 2. Let q = 629 - 636. Give s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + -1*sqrt(4536))\/(sqrt(8) - sqrt(504)\/sqrt(7)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-2 + 1)) + 0 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90.39 + -88.39. Which is the biggest value? (a) x (b) -4 (c) 2\/5 (d) -32 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 394 or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 13) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 3*a)*(14 + 10 - 17).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 345 = -2*o. Let v = 231\/2 - o. Find y such that 0*y**2 + y**4 + v*y**5 + 1\/2*y**3 + 0*y + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -426, -1059, -948, 867, 5346, 13449, 26136, 44367?\n\"Answer: 160*w**3 - 588*w**2 + 11*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5020, 4982, 4926, 4858, 4784, 4710?\nAnswer: 4642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 1, t: 5, h: 3, p: 1, q: 1}. What is prob of sequence sq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/(6\/(-6)*(-48)\/(-2184))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 115 = -17*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -3, 1\/8, -0.4, 2\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 3:10 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -524*t**3 + 773*t**2?\nAnswer: -3144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + u = -24, -4*u = -3514*f + 3511*f + 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0\/(-3) + 3. Suppose 5*k - 2*k = -12, -3*k = -w*i - 186488. What is i rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 13*g**5\/10 - g**4\/12 + g**3\/6 - g**2\/2 + 2*g. What is the units digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (11 - (-2 - 0) - 14) + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15330 and 9800250.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68294.7 and 1.088.\nAnswer: 74304.6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((112\/(-40))\/(-7))\/((-3)\/(-15)). What is the nearest to -1 in -1, 1\/19, s, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -46*u**3 + 4*u**2 + 5*u + 4. Let k be w(-2). Let q(g) = -191 + 6*g - 188 + k - g**2. Give q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*k - 70 + 79 = 0, 10 = 5*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77015.29 - 0.11.\nAnswer: -77015.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 619 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) 4 (b) -0.2 (c) 0.2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z, 2*a - 4*z = -2*z - 978. Let v = -483 - a. Solve v*f = 2*l - 7 - 10, 5*f = -4*l - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -31 in increasing order.\nAnswer: -31, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/48 and -19\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-356)\/36 + 4\/(-36). Is -406*(2 - (-25)\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -2979 - 2455. Let d = 788 + i. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11202104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3283, -3180, -3009, -2770, -2463, -2088, -1645?\n\"Answer: 34*k**2 + k - 3318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, h: 6, k: 4, m: 2, z: 4}. What is prob of sequence km?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3409 at least as big as 13.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:19 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -15451?\nAnswer: -46\/15451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 573, -94, 48 in ascending order.\nAnswer: -94, 48, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 2*j + 12. Let o(l) = l**2 - l + 1. Let d(h) = -2*o(h) + z(h). What is the units digit of d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -331*p**8\/8 - 11*p**4\/12 + 2*p**3\/3 - 170*p + 4. What is the third derivative of t(j) wrt j?\nAnswer: -278040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -2. Let v be (-2 - 0 - b)*4. Let p(z) = -z**3 + 4*z**2 + z - 2. Determine p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 + -139. Let y = -3 + 6. Suppose 0 = c - 5, 0 = y*p - q*c + 8*c - 70. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 o when four letters picked without replacement from voovofnfnvvoovvfvxv.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25\/18 + 1\/9. Let p = -5 - -4.7. What is the closest to 0 in z, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 - -84961.289.\nAnswer: 84961.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -31. Let w = j + -11. What is the lowest common multiple of 9 and 5 - (-1 + 3 + w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*w - 20, -5*b + w + 2*w - 12 = 0. Suppose 2*s = -b*s + 10. Calculate the greatest common divisor of 45 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -728630\/113 - -6448. Let i = -280\/1017 - d. Let n = 295\/8 + -37. Which is the second smallest value? (a) -1\/2 (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*u - 377 + 434*u - 215*u)*(-4 + 4*u**3 + 4).\nAnswer: -8*u**4 - 1508*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*g + 7, -196*q + 197*q - 1 = -g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3\/5)*o\/(o\/o**(-2\/7)))**(-32) assuming o is positive.\nAnswer: o**(-1472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170672, -170683, -170702, -170729, -170764, -170807?\nAnswer: -170858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 73845 * 1266\nAnswer: 93487770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*t - 12 = 383*t. Differentiate -4*p**2 + 4*p**2 + t*p**4 + 107*p**4 - 41 wrt p.\nAnswer: 452*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 14 - 2. Suppose -q*j - w + 65 = 0, 2*j + 3*w - 7 - 28 = 0. Let o be (-4)\/(-3)*120\/j. Solve 3*p - 6*r + 26 = -2*r, 0 = 2*r - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90964 divided by 4.\nAnswer: 22741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 4*u - 3, 4*u - 1 = 3*d. Suppose 0 = -65*y + 64*y + 3. Let s be 2\/(-1) - (y + -7). Put s, -2, d in increasing order.\nAnswer: -2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3680.272 micrograms to tonnes.\nAnswer: 0.000000003680272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1 + 6 - 4 + 0*b**2 - b**2. What is the units digit of s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f + 5*f**3 - 10*f**2 + 21 - 15 + 4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:16 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753 - (-1 - 3 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f - 24*f + 5*f**3 + (3*f + 2*f**2 - 3*f)*(-12*f + 7*f + 6*f) as h*f**2 + t + q*f**3 + i*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a5ccbb (base 15) in base 4?\nAnswer: 132012111023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10374 (base 8) to base 4.\nAnswer: -1003330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 779064*s + 1558144.\nAnswer: -4*(s - 194768)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8416036172.0000407 + -8416036656. Let s = 484 + n. What is s rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + o**2 + 26 - 16.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = x - 4*b, 27*x - 3*b + 18 = 24*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 462, 1745, 3876, 6843, 10634?\n\"Answer: -2*s**3 + 436*s**2 - 11*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 34, 3\/8, -0.1, -2, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 + 7 = 0. Let p = 1 + g. Suppose 4*u + 3 - 1 = -2*m, -m - 4*u - 3 = 0. Put -1, m, p in increasing order.\nAnswer: -1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2038, -4787, -9372, -15793, -24050?\n\"Answer: -918*o**2 + 5*o - 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26628 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*v + u, 0 = 5*v + 4*u - 13 + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60*41\nAnswer: -2460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**7\/14 - 3*h**5\/10 + h**3\/2 + 45*h + 48. Let f(z) be the first derivative of b(z). Suppose f(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 5*t = -333, h + 5*t - 87 = 0. Suppose f + f = 4*o - h, 0 = -o + 5*f + 16. Is (-14)\/o - 116\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -9 (c) 0.13 (d) -1 (e) 2\/11 (f) -411\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - (4 - 5) - (-315 + 313)) + -11.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -34, -53, -74?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -21 - -23 - (2 - -4). What are the prime factors of f\/(-56)*7*862*2?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -535.8 - -483. Let j = -43 - s. Let c = 3.6 - j. What is c rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(24)\/sqrt(3)))\/(sqrt(605) - sqrt(605)*2 - sqrt(605) - sqrt(605)).\nAnswer: -sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 77*y**3 + 6*y**2 + 68*y + 6. Let v(q) = -78*q**3 - 5*q**2 - 67*q - 5. Let c(k) = -5*n(k) - 6*v(k). Find the second derivative of c(o) wrt o.\nAnswer: 498*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**6\/4 - 35*q**3\/6 - 3*q**2 - 8*q. Let n(s) be the first derivative of j(s). What is the derivative of n(u) wrt u?\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*b + 47*b - 21*b)*(15 + 4 + 3 - 4 + 12).\nAnswer: 2580*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**3 - 7 + 7)*(-1 - 2 + 4) + 31*x**3 + 8*x**3 + x**3 as z*x**3 + w + g*x + c*x**2 and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/36 - (-29)\/58.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*i - 0*i + 1614, 5*i = -2*p + 2018. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-1\/4)\/t*t)))**(-12\/5)*(t**(-3\/4)*t)**(-3\/31) assuming t is positive.\nAnswer: t**(-1131\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002439722 to 7 decimal places.\nAnswer: -0.0000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -67, 0.06 in decreasing order.\nAnswer: 0.06, -3, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3\/3 + 69. Let w(d) be the first derivative of -4*d**2 - 3. Determine w(v(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -179 in -3\/7, -4, 1\/10, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*v + 6 = 0, 0 = -4*w + 7*v - 2*v + 53. Let n = 11 - w. Suppose -t = 2*y - 15, -14*t - 21 = -16*t - y. Solve t = -n*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 4. Let o be w(0). Suppose r + 117 = o*r. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 25. Let h be t(-7). Suppose 3*k - 2*k + 102 = 0. Let d = h - k. Calculate the greatest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 7 - 1*322\/(-35)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*j + 15, -3*z = -3*j - 11 + 2. What is the closest to -14 in -4, j, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from yyyyyyey.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-728)\/(-84) - 6\/9. Let j be 18*((-1)\/1 + 2). Suppose -y - j = h. Is y at least -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 44 = -17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6415 is divided by 1159?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/7)\/r*r*((r\/(r*(r\/((r\/(r**(-6)\/r))\/r))\/r*r)*r)\/r)\/r)**(-1\/18) assuming r is positive.\nAnswer: r**(-43\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12 - 196\/(-24). Let y = -37 + -3. Let h = y + 42. Solve 0 = 3*s + 5*m - 10, h = 5*m - w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -46.4. Let r = p + 30.6. Let y = -35 + r. What is the second biggest value in 0, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*x**2 - 67*x + 25*x + 34*x - 487*x**2.\nAnswer: 12*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4448, 5, -6, -1, -373 in ascending order.\nAnswer: -4448, -373, -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 19. Let n be a(0). Let o be (11 + n)\/16 - (-22)\/4. Solve 5*t + 2*r + 6 = 0, 0 = -2*r - o - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 + -112 - (2 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 43*i**2 + 47*i + 136. Determine w(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*b = k - 23, 5*k = 3*b - 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 6:57 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -352256*t**3 + 5*t**2 + 12*t - 86?\nAnswer: -2113536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -535350 - 218?\nAnswer: -535568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {s: 3, x: 5, o: 1, b: 1, r: 1, u: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 35 = -0*m. Suppose 4*q + 65 = 5*a, -2*q - 3 = 2*a - 11. Suppose 4*u + p - 13 = 0, -3*u + 5*p - 2*p - a = 0. Solve 5*y = -u + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*k + 88*k - 3925275 = -17959365. List the prime factors of k.\nAnswer: 5, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5*y + 2)*(-278 + 1035 + 1012) in the form g*y + a and give g.\nAnswer: -8845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 4*x - x**2 - 1 + 0*x. Let u be s(2). Let p(g) = -u + 0*g - 1 - g. Determine p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1105 - 1170 = -183*s + 836 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 610807.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/5 - 6*d**2 - 81*d\/5 + 108\/5 = 0.\nAnswer: -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/50)\/((-4)\/10). Let z = -0.2 + 0.4. Suppose -15*j = -10*j + 25. Which is the nearest to z? (a) o (b) 4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21818 + 21818.046084. Let f = i - 0.046. Round f to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/21)*b*b\/b**0)\/(b**(-12\/5)*b*b**(-4\/9)))**(-46) assuming b is positive.\nAnswer: b**(-68816\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 5750\/(-966))*15\/(-10)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -95*x + 913 - 95*x + 410*x - 107*x - 99*x. Calculate j(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -5, -2 in decreasing order.\nAnswer: 5, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3))**17*a**1*a**3)**(-12\/11) assuming a is positive.\nAnswer: a**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:25 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2867260 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/1025 + 29641\/14350. Calculate the common denominator of -79\/16 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12883 - -12885. Put -2, -4, i, 3\/2, -1\/14 in decreasing order.\nAnswer: i, 3\/2, -1\/14, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i*l**3*o - i*l**3 - 1206*i*l**2*o - 2*i*l*o - i*l + i*o + 5*i + 3*l**3*o + 1208218*l**3 + 6*l wrt l?\nAnswer: -24*i*o - 6*i + 18*o + 7249308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(22 - 1) - 50\/6. Let x be 6\/(-27) + 346\/18. Let p = x + v. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215255 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15 = 0, -5*g - 2 = -4*x + 3. Let s = 9 - g. What are the prime factors of (-40)\/s*(-9)\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 7*t**2 - t + 5. Let l be j(-5). Suppose w - l = -3*w. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(495)\/(sqrt(22)\/(sqrt(6)\/sqrt(3))))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-3))\/((-3)\/(-1623)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5383.8 + -1?\nAnswer: -5384.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*p = 2*p + 10, p + 3 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -32. Suppose 12*l + 30 = a*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103688952833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/118090 and 187\/270.\nAnswer: 3188430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + (-22)\/4. Which is the nearest to -2\/5? (a) h (b) -1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5890029?\nAnswer: 3, 59, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + u + 0*u + (4 - 1 - 1)*(-1 + 1 - 2*u) - 46 + 46 - 9*u to the form t*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2384*a - 2420*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 0)\/(1 + 0). Suppose -12 = -q*d + 2*d. Let y be ((-4)\/(-6))\/(d\/18). Let k(o) = -8*o**2 + 2*o - 1. What is k(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 621, 614, 595, 558, 497, 406?\n\"Answer: -i**3 + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)\/(z**(-5)\/z)*z**(-8)\/(z\/(z**(-7\/4)*z)*z*z))**36 assuming z is positive.\nAnswer: z**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*g*o**2 + 55*g*o + 1285128*g + 4*o**2 + 16*o wrt o.\nAnswer: 22*g*o + 55*g + 8*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:40 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*t - 3*t - 99*t - 165*t in the form q + v*t and give v.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 10*u - u)*(7 - 3 + 0).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 - -9 - -4)*285. What is the greatest common divisor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 105 times 29\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105.9 + -106. Which is smaller: f or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -110011012220102001?\nAnswer: -110011012220102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 72 = 1197. Let b = -88 + k. Is -13 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(645\/(-213) - -3). Suppose 16 = 3*v - o. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (30\/8 + (-6)\/12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2, 0.1, -4, -17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 641\/2532 - 2\/633. Is p at most as big as 382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 139. Suppose -692 = -k - 3*y, n = -k - y + 967 - 273. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 + 290. Let j = -50 + o. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*u + u + 2, -u + 5*z = 4. Let i(a) be the first derivative of u + 1\/2*a**2 - a. What is i(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -174*u**2 - 6*u + 7. Let r be v(1). Let o = r - -287. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1\/4 (b) 3\/7 (c) -0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 179, 362, 541, 716, 887?\n\"Answer: -2*x**2 + 189*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 81942 = 547686. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n - 24. Let t(w) = -13918*w. Give t(r(i)).\nAnswer: 83508*i + 334032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 0.8. Let y = 4.92 - 0.92. Let w = -18 + 17. Which is the nearest to w? (a) z (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 1. Let c be q(5). Let g = -168 - -172. What is the derivative of -46 + 7*p**4 + 5*p**c + 22*p**g wrt p?\nAnswer: 136*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768094 is divided by 1441.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6742542.\nAnswer: 2, 3, 23, 48859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/6)\/5*(-2*4)\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, o: 4, w: 1, l: 3, b: 1}. Give prob of sequence ocl.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 - (14 + -41)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 55 - 25. Calculate the greatest common factor of m and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1184 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1068*0.052657\nAnswer: -0.0056237676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 7*n + 6. Let m be 4 + -3 - 0 - 6. What is the tens digit of g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3700*z + 7 = 3702*z - 7*n + 2*n, 24*z + 2*n - 394 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-22) + 24024\/(-363). Let p = -64 - y. Suppose -p*s = -4*l + 32, -4*l - 11 = 4*s - 43. Solve z + z = l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -22 - (23 - 47)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 4*r + 2*i, 15 = 5*r - i. Suppose 0*o = r*o + 48. Let g = -7 - o. What is the lowest common multiple of g and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-26)*(b**(-2\/3))**(-44) assuming b is positive.\nAnswer: b**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + q**2 + 4 - 7 - 3 as r*q**2 + j + m*q and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (6 - 8) - 22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66612556543 - -4?\nAnswer: 66612556550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -434 + 718. Suppose -5*h = -5*k + 340, h = -4*k + 2*h + a. Suppose 6*y + 2*y = k. What is the highest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 0*k + 4*k)*(-959 + 472 + 970) in the form x + f*k and give f.\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -9*d**4\/8 + d**2 + 464*d. Let s(l) = 78*l. Determine z(s(f)).\nAnswer: -2106*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1295191 - 8?\nAnswer: 1295184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5504.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a + 13*a + a.\nAnswer: 53*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*t + 5 = 0, 2*u = -u - 4*t + 3. Let d(a) = 20*a + 2. Calculate the remainder when d(5) is divided by (u*-51 - 1)*3\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, k: 1, m: 1, j: 1}. What is prob of sequence cj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 + 11*o**4\/12 + o**3\/3 - 11*o**2\/2 + 5*o - 2. Let g be w(11). What is the greatest common factor of g and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535986 is divided by 1112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(17*u**2 - 85*u**2 + u - 3*u).\nAnswer: -68*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 10259910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a - 5*c = 20, a + 4 = -c. Solve a = 2*k + 6 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 17*w = 3*x - 14, -w = 2*x - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3, -12 = -5*g + 2*f + 4. Suppose 4*i + g = 14. Solve 4*w - 5*q + 10 = -i*q, 0 = -q - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -9\/5, -1\/1029?\nAnswer: -1\/1029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v - 135*v - 556*v = 4459 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -890 - -1312. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-150)\/(-285)) - -7)*(-2 + -8).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1369, 1334, 1295, 1252, 1205?\n\"Answer: -2*x**2 - 29*x + 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Let y be -2 + 3 + g\/(-3). Let s be y + 3 + (-1)\/(-1). Is s >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1012 divided by 3661.\nAnswer: -1012\/3661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 5. Let p be l(8). Let m(b) = -4*b**2 + 3 - 2*b**3 - p*b + 5*b**2 + 0*b**2. Suppose 2 = -85*i + 86*i. Determine m(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 0.51.\nAnswer: -9.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/3 (b) 31 (c) 0.2 (d) -46\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3 + 0\/2. Suppose 0*g - v = n + 2*g, g - 4 = -4*n. Solve 2*a + 3*k - 11 = 0, a - 3*k + 13 = n*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v - 7208*v**2 + 10*v + 7221*v**2 + v**3 - 3 in the form x*v**2 + l*v + p + m*v**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 29*s**2 - 213*s - 138. Give u(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -36. Let m = t - -15. Let b be (-2 - m)*2\/3. Solve y = 3*y + b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 703360 - 1868827491\/2657. Find the common denominator of v and -42\/11.\nAnswer: 29227","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 4, s: 6}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 2*p - 5*p + 4*p - 45 + 4*p. What is o(0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(128))**2*-2 + -2 - (((sqrt(128) + 2 + -2 - sqrt(128))*-4)**2 + -4).\nAnswer: -1030 + 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 49595*w + 25. Let n be a(5). What is n rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458\/22 + 1*6\/(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2302 + -1?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 14. Let h be o(8). Suppose 14*w - 36 = h. Suppose -w*f + 407 = 4*m, 0 = -f - 3. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w**2 - 4*w**2)*(2*w**2 + 3 - 3) + (-w**2 - w**2 - 3*w**2)*(0*w**2 + 2*w**2 - w**2).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4, 2 = 4*v + 4*o - 18. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, x: 1, u: 1, n: 1}. Give prob of sequence xug.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - x + 11 = 0, -13*x + 26 = 5*m - 9*x for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8505 - -5.\nAnswer: 8510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 794*w - 82579. Let f be v(104). Let h be (2\/33)\/(1\/3). What is the closest to -1 in -1\/3, 5, f, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 4\/(-8)*0. Suppose 2*c - 18 = -4*p + p, 14 = -a*c + 5*p. Let u be (1 + 1 - 0)*c. Which is smaller: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - x - x. Let p(t) = 0 - 1 + 42*t - 53*t + 0. Let m be 0\/(-2 + 9) - 2. What is m*p(u) + 5*d(u)?\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 121112201102121021?\nAnswer: 121112201102121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3103 is divided by 259?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 247600 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Let y = 4 + d. Let q(t) = t - y*t - t - 1. Calculate q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 995*s + 233463. What is u(616)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. Suppose -w*b = -15 - 5. Is -4 - -25 - b*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323121 - -222300?\nAnswer: 2212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14*c. Let z(b) = 86*b. Give z(d(y)).\nAnswer: -1204*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5, -2*o - 3*y + 98 = -y. Let w = -9275 + 64619\/7. Let z = w + o. Which is the third smallest value? (a) 4 (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -39*c - 1. Let j be a(-1). Suppose j + 17 = -11*z. Let k be (3 + -5)\/(1\/(z\/2)). Are k and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-14\/5)*p*p*p*p**26*p*(p**(-1\/20))**40 assuming p is positive.\nAnswer: p**(159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 204237001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 3. Let b(d) = -65. What is b(s) - 3*n(s)?\nAnswer: 3*s - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**7\/210 + p**6\/40 - p**5\/10 - p**2 + 11*p. What is the third derivative of x(c) wrt c?\nAnswer: -24*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a + 8. Let o(g) = 7*g + 5. Let p(l) = -5*n(l) + 8*o(l). Let v(w) = 3 + 3*w**2 - 3. Determine p(v(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1022471, -2044922, -3067373, -4089824, -5112275?\n\"Answer: -1022451*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n + 115 = -45 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30649414 + 1.3?\nAnswer: 30649415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(1584) + 2) + -3)**2 + 5.\nAnswer: 360*sqrt(11) + 39614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5767*q**2 + 4*q + 12333 wrt q.\nAnswer: 11534*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2*r**2 - 3. Give j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -14214*w + 11091. Let t(g) = 7109*g - 5546. Let r(a) = 3*o(a) + 5*t(a). Differentiate r(k) with respect to k.\nAnswer: -7097","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*t - 292711 + 312091 = 0 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2568 and -0.4?\nAnswer: -1027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1772.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*w. Let o(h) = 4 + 2*h - h**2 - w + 0. Let j(m) = 4*m**2 - 7*m - 7. Let a = -2 + 16. Calculate a*o(l) + 4*j(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2262 and 89\/17342.\nAnswer: 52026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7656748787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 177, 436, 799, 1266, 1837, 2512?\nAnswer: 3291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -146 + 4266. What are the prime factors of o?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3630 and 0.18.\nAnswer: -653.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -5, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 25229206?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*k + 30 + 1 = 0, 0 = k + 3. Let r = 40 - g. Let l be (-15 + -1)\/(-4) - r\/(-1). Let y(h) = h**2 - 9*h + 4. Give y(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 13804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**2 + 183. Let p be h(-5). Solve b + p*b + 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 74796 = 270669. What are the prime factors of r?\nAnswer: 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 709.57691 - 943148.\nAnswer: -942438.42309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 20*a - 15. Let h be q(-19). Suppose -y + 0*y + 47 = z, -3*y = h*z - 188. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -25*u**2 - 19*u**2 + 8*u**2 + 57 - 6*u. Let k(y) = 5*y**2 + y - 8. Let g(s) = 15*k(s) + 2*v(s). What is j in g(j) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 1, f: 3, n: 1, c: 1}. What is prob of picking 1 z, 1 c, and 1 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 46 (c) -1 (d) -158 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -3.797268?\nAnswer: 1.5189072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 91057.91m?\nAnswer: 91.05791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m + 804 = 224*m. Put -45, -4, 2, m, -7 in descending order.\nAnswer: m, 2, -4, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 2. Let i be p(-5). Let w = 81 - 84.1. Which is the nearest to w? (a) 4 (b) i (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -373*y**2 + 2. Let s be u(-1). Let z(x) = -x + 8. Let w be z(10). Let n be s + -1 + w + 4. Round n to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:48 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 7:20 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10103 (base 4) in base 10?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-378)\/105)\/(((-9)\/(-40))\/((-78)\/104))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606731553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14722397 + 14722397 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) -1\/13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 88381, 88405, 88473, 88609, 88837, 89181?\n\"Answer: 4*c**3 - 2*c**2 + 2*c + 88377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*l**4 + 1 - 3*l**3 - 2*l**2 + 18*l - 27*l + 18*l**4 + 11*l**4 as m + q*l**4 + c*l**2 + o*l + p*l**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1060, 2, 1, -2\/15, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.97879522 to four decimal places.\nAnswer: -4.9788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21372*u**2 + 21503?\nAnswer: 42744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + o + 31, 15*k - 10*k + 5*o = 20. Solve -u - k = -4*z, -2*u - 1 + 0 = 5*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23492133 and 8127?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31518 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1233 + -11746?\nAnswer: -10513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/195 + (-1 - 16\/(-12)). Factor 0*n**3 + 2\/13*n**4 - 16\/13*n - 12\/13*n**2 - l.\nAnswer: 2*(n - 3)*(n + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 60, 92, 126, 162, 200, 240?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 2553*u**6\/40 - u**5\/30 - 245*u**4\/6 + u**3\/3 - 4251*u**2. Find the third derivative of o(s) wrt s.\nAnswer: 45954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 8, -13, -52, -115, -208, -337?\n\"Answer: -h**3 - 2*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from iiiiviiiiiiiiii.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1316 by 329.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4*n + 1519918*k**4 - 159*k**3*n + 794*k**2*n + 2*k**2 - 7*k*n + 2*k + 2629*n - 2 wrt k.\nAnswer: -24*k*n + 36478032*k - 954*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*b + 200, 0 = -b - 4*b + 20. List the prime factors of (-2)\/5 + n\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 3*i + 23 - 59, 0 = -2*t - 2*i - 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*c - 0*c. Solve -3*i + 5 = 3*n - n, c = 3*n + 5*i - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 - -0.46. Sort -1\/18, p, 1\/4 in increasing order.\nAnswer: -1\/18, p, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 768 - 2246\/3. Calculate the common denominator of (-2)\/5 - (-566)\/(-60) and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5130158 divided by 27434.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133813 is divided by 132407.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2879219 - 917219. What is g rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/(228\/(-475))*(-12)\/(-28)\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1777*c - c**2 + 1782*c - 3613*c + c**2 - 3*c**2 + 2*c**2.\nAnswer: -c**2 - 54*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -38*j + 37. Give y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120100 + 1110111?\nAnswer: 330011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1208520 by -20142.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 - t + 32. What is the tens digit of c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/759 - 200\/(-1242)) + (-16)\/108.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1402 times 0.07\nAnswer: -98.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 27443.\nAnswer: -8, 1, 27443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10130 (base 6) in base 15?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -6*w - 3*m - 201, -117 = -w + 4*m - 2*m - 181 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 18*u. Let n be (2 - (-51)\/(-3)) + -3. Let h be (-66)\/n + 3\/9. Let t(a) = -5*a - a + a + h*a. Give d(t(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -0.4 (c) 103 (d) -6\/13 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*n - 3*u, -5*u + 3 + 2 = 0. Let d be (30\/25)\/(2\/n). Calculate the highest common factor of 33 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -2\/9, -5, 58 in increasing order.\nAnswer: -5, -2, -2\/9, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.63 rounded to one decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 m when four letters picked without replacement from vvvvvvmv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -c + 21 = -v + 5*v, 5*v = c + 15. Factor -3*t**v + t**2 - 3*t**2 - 2*t**3 + a*t**5 + 5*t**4.\nAnswer: 2*t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 - 43*n**4 + 269*n**3 + 25175*n**2 + 20000*n - 4000000 = 0.\nAnswer: -25, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9665*8935.\nAnswer: -86356775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-15) - 2\/(-5). Which is bigger: 4\/639 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-99)\/55)\/(1\/(-5)). Let b = t + 31. What is the greatest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r - 12*r + 341 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8759320001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, and 1 q when three letters picked without replacement from qjfiv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = -4. Let y(f) = 5*f**2 - 8*f - 3. Let i be y(t). Suppose 3*x = -3*b + i - 63, 4*x = -16. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 1119.\nAnswer: 5595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12*z**4 + 4*z**3 + z + 18. Let r(o) = 11*o**4 + 5*o**3 + o + 17. Let b(j) = -6*f(j) + 5*r(j). What is the second derivative of b(g) wrt g?\nAnswer: -204*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50\/3 + -16. Let k be ((-6)\/(-7))\/(33\/21). What is the second smallest value in 3\/5, w, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -11) + -4 + 4 + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*((-2961)\/(-168) - 17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/242 and 167\/929280?\nAnswer: 929280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + (-1608)\/(-42). Which is smaller: h or 39?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(108))**2 + -4).\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/312)\/(152754\/(-1512) + 101).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, u: 3}. Give prob of sequence uy.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*v - 22, -38*z + 33*z + 5*v - 155 = 0. Suppose 3*c + 25 + 91 = -4*u, 4*u = c - 100. Let l = u - z. Calculate the highest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/16*6 + (8217\/22)\/(328\/(-82))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -60882, -121754, -182626, -243498?\n\"Answer: -60872*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293344, 293345, 293348, 293353, 293360?\nAnswer: 293369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/5)\/(-5)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 7*z**2 - 6*z + 19. Let s be o(-8). Let n(b) be the first derivative of 5\/2*b**4 + 3 + b**2 + 0*b - 3*b**s. Factor n(a).\nAnswer: a*(2*a - 1)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 smaller than -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/189)\/(2\/(3\/(-3))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**2 - 987 + 3*k**2 + k**3 + 989 - 6*k. Let t be z(6). Solve 0 = -s + t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**2\/2 + y - 11. Suppose 6 = 3*u - u. Suppose 4*p - u*l = -27, 2*l = 3*p + 4*l - 1. What is k(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 495*r**3 - 7*r**2 + 8. Let f be i(2). Find v, given that -v**2 - v**2 + f - 6982 - 156*v = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s - 3*c, 5*s = -c + 2*c + 56. Let g be (2 - s)*3\/(-5). Suppose -g = l - 2*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(612) + 0)*4*-5 - ((sqrt(612) + 1 + sqrt(612) + 5)**2 - (sqrt(612) - 6*1*sqrt(612) - sqrt(612)))) + -3.\nAnswer: -2491 - 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1282 + 218714799498?\nAnswer: 218714798216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1, 0.05, 2\/11, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26807, 26833, 26863, 26897, 26935?\n\"Answer: 2*b**2 + 20*b + 26785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7*1040\nAnswer: -7280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 5*d + 14*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i*i\/(i*i**9)*i*i*(i*(i*i**(6\/11))\/i)\/i*i*i*i**(-13)*i**6*i assuming i is positive.\nAnswer: i**(-71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -5*c**4\/12 - 2150*c**3 - 4160250*c**2 - 732*c + 2. Factor y(b).\nAnswer: -5*(b + 1290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbl when three letters picked without replacement from {e: 1, b: 4, l: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 5*g + 24. Let c(k) = 9*k - g*k - 4*k. Let h(w) = 8*w**2. Calculate c(h(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -785 times 652\nAnswer: -511820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -59?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*l = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 2*a + 6. Let y be 42\/(-9)*18\/(-21). Let o be (2\/3)\/((-4)\/(-6)). Let n(k) = -k - 1. What is o*b(f) + y*n(f)?\nAnswer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549478808*0.4.\nAnswer: 219791523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16788224 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l + 66. Let i = l + 37. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-41)\/(-123) - 5\/6. Put 0.1, 2\/11, -4, w in decreasing order.\nAnswer: 2\/11, 0.1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 519*a - 244*a - 236*a. What is the remainder when 3286 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 16*x - 444. Determine v(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (878\/(-104))\/(150\/(-24) + 6) + 6\/26\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5696*t**2 - 2614*t**2 - 2664*t**2.\nAnswer: 418*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 26*y**2 - 7*y + 18. What is the tens digit of t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*p*s**2*y**2 + 4*h**3*s**3*y - 3*h**2*p*s**3*y - 46*h**2*s**3*y**2 + 2*h*p*s**3*y - p*s**2*y - s**3*y + s**3 wrt y.\nAnswer: -2*h**3*p*s**2 - 92*h**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 5*k + 0*k + k - 2*k + 0*k + (-4 + 0 + 2)*(0*k + 0*k - 2*k) - k + 1 - 1.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*x = -5*x + 17, 90*r - x = 93*r - 22 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1194314 millilitres?\nAnswer: 0.0001194314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + -5 + sqrt(432)*2 - sqrt(30)\/(sqrt(10)*-1)*2.\nAnswer: -5 + 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1))**26*(b\/(b\/b**2))\/(b\/b**1) assuming b is positive.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2. Suppose 2*u = 4*u - 4*b - 28, 3*u = 5*b + 37. Let l(j) be the first derivative of 0*j + 0*j**2 + u - 1\/3*j**3. Determine s(l(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 8. Let g be o(-4). Solve -4*j + 12 = -4*a - g*j, -5*a + j + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20)*0)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 2*x**3 - 10*x**2 + 6*x = 0 for x.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, v: 3}. What is prob of picking 1 m and 2 v?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(-62*x**2 - 71*x**2 - 153*x**2 - 203*x**2).\nAnswer: -489*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 7. Let o be j(5). Let v = -1506 + 1505.9. Which is the nearest to -0.1? (a) 0 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, q: 2, b: 3, h: 2}. Give prob of picking 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 11 - 13 - 4*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23491208 by 27443.\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + z = -6, -4*q + 8*q - 21 = 3*z. Solve -q = -5*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872767.6 days in minutes?\nAnswer: 1256785344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 3*y - 4, -7 = l + 4*y - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 373017485*r**4 + 14834*r - 18196?\nAnswer: 4476209820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 98. Let i(l) = 5*l - 65. Calculate the remainder when 71 is divided by i(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:22 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*31.4.\nAnswer: 9.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -372 at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 337, 341, 345, 349?\n\"Answer: 4*y + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 12 = -i, -15253 = 5*i - 15263 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**9\/c)\/(c*c*c**(1\/11))*(c*c**(-2))**(-7))**(-1\/2) assuming c is positive.\nAnswer: c**(-71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4 and (-122)\/24 + (-12)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 8 - (-3 + (5 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120\/7 - 17. Let s(w) = -w**2 + 10*w - 5. Let j be s(10). Which is the biggest value? (a) j (b) o (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2503, 5009, 7527, 10063, 12623?\nAnswer: 15213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 2}. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:10 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -51*u + 47*u + 2*u**2 - u**2 + 7. Let l be c(3). Suppose l*g - 5*h - 200 = 0, -54 = -5*g - 3*h + 233. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*v + 0 + 0)*(4 - 3 + 0) + 5*v - v - 2*v)*(-2 + 2 + v)*(23*v + 294*v + 121*v) to l + s*v**2 + q*v + m*v**3 and give m.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 7 + -21 + -2 + (2 + -5 - 12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002097 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, w: 3, e: 1, y: 3, p: 1, h: 4}. Give prob of sequence hwkh.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 951234 and 6.\nAnswer: 951234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*h**2 + 3 - 273*h**2 - 129*h**3 + 147*h**2 as x*h**2 + b*h + r*h**3 + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54279 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 49\/2. Let n be (-133)\/(-539) - 18\/(-99). What is the biggest value in n, r, -0.5, 3\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - 4*m - 5, -4*m = -5*o - 19. Let u = -38215\/3 - -12738. Sort 0.3, -11, o, u in decreasing order.\nAnswer: 0.3, u, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443482875?\nAnswer: 3, 5, 11, 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - -66. Suppose v - d = -5*v. Suppose -f - 3*o = -2, o + v = f + 2*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 70. Suppose g = -3*r + 446 + 790. What are the prime factors of r?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*m + 103*m - 2879 = -18*m + 1541 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + m**3 - 2*m**3)*(-2*m**2 + 2*m - 2*m) - 2*m**5 - 2*m + 2*m + (-627*m + 627*m + 250*m**3)*(0*m + 0*m + 2*m**2).\nAnswer: 502*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 85199.8597 from -3.\nAnswer: -85202.8597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 57 = 4*w. Suppose -4 = 3*b - w. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + p**2 + 9 + 5 - p + 8*p. Suppose -2*r = -4*d + 98, 3*d - 4*r - r - 56 = 0. What is the remainder when d is divided by c(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 + 20 + 21 + f**2 + 135.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h = 1118 + 178 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (136000\/104)\/50) + 317\/1976\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 7921 = -9391 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + q + 76 = 5*q, -5*b - 24*q + 17 = -26*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -33523683 and -3.2614.\nAnswer: -33523686.2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxxvzzxoxox. Give prob of picking 1 o, 1 z, and 1 x.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + i + 1. Let h = -215 - -151. Let x be (-6)\/72*4 + h\/6. Does 18 divide n(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (0 - (-5 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -539, -3\/4, 2, -1 in descending order.\nAnswer: 2, -3\/4, -1, -5, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l. Let a(c) = -136*c. Determine 3*a(k) + 102*b(k).\nAnswer: -102*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(234)*-5)\/sqrt(9))\/(1*(sqrt(2) + sqrt(24)\/sqrt(108))).\nAnswer: -15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8 - b**2 - 49*b + 16*b + 15*b + 25*b. Let q be c(7). Factor 1 - 3*i + 1 - q*i**2 - 6*i - 3*i**2.\nAnswer: -(i + 1)*(11*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 3, h: 2, v: 5}. Give prob of picking 1 h and 3 v.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 6\/(-10) + 1. Suppose -5*o = 13 + 7. Which is the closest to d? (a) -5 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let t = -1619 + 1621. Let p(q) be the second derivative of q**3\/6 - 16*q. Give t*p(b) + 3*k(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 39*u**2 - 129*u - 1400. Give x(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, j: 5, t: 1, x: 4, n: 3}. What is prob of picking 2 n?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591, -820, -1047, -1272?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178.0545 - 178. Let p = 0.054 - s. What is p rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 80*q + 446. Let i be b(74). Solve -4*m - 4 = 2*f, 3*f + 6 + 4 = -i*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 15. Let q be z(11). Let o = -77 + q. Calculate the remainder when o is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139919774 rounded to 4 dps?\nAnswer: -0.1399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -7*d**2\/2 - 2151. Let v(h) = 55*h**2. Determine u(v(a)).\nAnswer: -385*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.032 + -0.268. What is the second biggest value in -3, 0.3, -0.6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4*d - 2. Let z be w(-5). Let h(f) = -f**2 - 6*f + 10. Let v be h(z). Suppose 4*y = v*y + 2*a + 1, 4*y - 17 = -5*a. Solve c = y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*-1*sqrt(19) + 5*(sqrt(171) - (sqrt(171) + 0)) + sqrt(171))**2.\nAnswer: 42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70372 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p**2 - 40 - 2*p - 35*p**2 + 29*p**2 - 2*p**4 to the form t*p**3 + r*p + b*p**4 + w*p**2 + c and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = v, 0 = -4*u + 3 - 23. Calculate the remainder when 60 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 - 13*z - 92 + 4*z + 38 in the form y + m*z and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*o + 11291 + 91 = 0 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-24)*3)\/(2\/(-1592)). Suppose -t + h = -188. What is the units digit of 2\/((-3)\/(t\/12))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2 - 16*d**2 + 11*d**3 + 14*d**2 + 2*d**3 - 8*d**3. Let f(a) = 31*a**3 - 13*a**2 + 13. What is -6*f(y) + 39*g(y)?\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-11)*i)\/i)**(-5\/9)*(i\/i**(-19))\/i*(i**(-13\/4)\/i*i)\/i*i)**(-1\/18) assuming i is positive.\nAnswer: i**(-767\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0766 rounded to 3 dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147a - -3?\nAnswer: -1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2842553 is divided by 710636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*n - 20 = 0, 9*t - 7393 + 7455 = -2*n for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 405 + 131 + c + 121.\nAnswer: c - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000666947 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 323*n + 147*n + 5*n**3 + 194*n.\nAnswer: -n**3 + 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-3) - -15)*(-21)\/(-35)*3. Which is the fourth biggest value? (a) 2 (b) -1\/4 (c) 5 (d) 0.1 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 3, a: 2, f: 1, c: 1, q: 3}. Give prob of picking 1 c and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 17*c - 12*c to a + l*c and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -91, -101, -97, -73, -23?\n\"Answer: q**3 + q**2 - 20*q - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*z - 486, w - 972 = -3*z - z. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.55 to 0 decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496 divided by -2.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 26421 = -43649. Which is greater: 5391 or j?\nAnswer: 5391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((4 - -3)*(-12)\/(-84)). What is the closest to 0.1 in 64, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = -3*l - 3, 5*l + 10 = v. Let t be l\/(1 + 1 + -3). Suppose d + 13 = 5*f, -d - t*f + 25 = 3. Solve d = 4*o - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -25551223?\nAnswer: 25551226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7351097 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*l = -50, 72*l - 73*l - 20 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43293 - -43282. Let o = -3.2 - -3. What is the nearest to 3 in o, -5, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12452761 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + 3 + 4 + (sqrt(1053) + sqrt(1053)*-1)**2 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -30*f - 5. List the prime factors of n(-5).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18\/4237 + -9291651\/21185. Are -440 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:49 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6093474, -12186942, -18280410, -24373878, -30467346, -36560814?\n\"Answer: -6093468*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 3*h + 2*h)*(7 + 4 - 3) + 6*h + 3*h + 86*h to the form x*h + b and give x.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-544)\/(-30) - ((-2453)\/165 + 15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 23 + 49 = 0. Suppose -d + 0 = -4*t. Suppose t*g + 18 = 3*g. Let x(f) = f**3 + 7*f**2 + 6*f + 3. Calculate x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (9 + -8) - 16) + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 165*j**2 + j**3 - 328*j**2 + 161*j**2 + 5*j + 60*j in the form k*j + b*j**3 + c*j**2 + h and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 0*v**3 + v**3 + (-4*v + 5*v + 7*v)*(-4*v + 2*v + v)*(-100*v + 51*v + 2 + 45*v)*(-4 + 3 + 3).\nAnswer: 63*v**3 - 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and 49\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011100001111000 (base 2) to base 12.\nAnswer: 38b3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:03 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/(1\/10). List the prime factors of (-5)\/(-20) - 39\/f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57.4 + -57.7. Suppose 2 = b + 4. Sort 0.2, b, p.\nAnswer: b, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(104)\/sqrt(8) - sqrt(13)) - (-2 + sqrt(13)*4).\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10622 + -9223. Calculate the remainder when k is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h - 34. Calculate b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5683 - 5565. What is the highest common divisor of l and 15104?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3*b**2 + 7*b - 6. Let a(u) = u + 1. Suppose 5*t + 5*f + 33 = 188, 5*t = 2*f + 183. What is t*a(k) - 5*j(k)?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - 2 - (5 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*w - 2*n, 4*w - 4*n = n - 35 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2079 + 2064 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/11 - 14*z**3\/33 - 3*z**2\/11 - 181. Factor h(n).\nAnswer: -2*n*(n + 3)*(2*n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225 + 222. Let k(m) = 2*m**2 + 2*m + 1. Determine k(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 330 + 32. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1043 - -1931. Let v = p - 595. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 8. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133137470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teaw when four letters picked without replacement from {e: 1, t: 1, a: 1, w: 1, d: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -579 - -601. Solve v*x = -6*x - 28 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/12*44\/(-18). Which is bigger: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/2, 79\/3, 2\/223, 5 in descending order.\nAnswer: 79\/3, 5, 1\/2, 0.4, 2\/223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*c + 1580 + 1790 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.35265 micrometers to centimeters.\nAnswer: 0.008235265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20 + 7 + 8 + 3*r**4 with respect to r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -23. List the prime factors of s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 555996596*v + 96774277 wrt v.\nAnswer: 555996596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(891) + -1))**2.\nAnswer: -162*sqrt(11) + 8028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w - 10 = -108*w + s, 0 = -w - 3*s + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -300*b**3*o - 335*b**3 - 13*b**2*o - b**2 - 158*b*o + 3*b + 791 wrt o.\nAnswer: -300*b**3 - 13*b**2 - 158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261177?\nAnswer: 3, 7, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12569 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 229*x - 119 = 1153 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*v = 33, -4*y - 2*v - 171 + 39 = 0. Let d = 35 + y. Suppose 3*w + 6 = 0, -58 = -5*c - d*w + 3. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000)*1 + sqrt(3000))*-1)\/(2*sqrt(24) + sqrt(24)\/sqrt(36)).\nAnswer: -60*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*j + 5*d - 4*d, 0 = -4*j - d + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o + 3. Let y be b(6). Suppose 0 = 5*s - y + 6. Suppose -l - 4 = -s*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.9 + -7.5. Let o = d + 38. Which is the closest to 2\/17? (a) o (b) -0.2 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*h - 17 = 1, 5*h = 0. Let n(f) be the second derivative of f**5\/20 - f**4\/2 + f**2 - 3*f. Let t be n(o). Solve 0 = t*j + 8 - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-153)\/408). Solve -3*n + 7*n + 5*u - 29 = 0, 0 = -4*n - f*u + 24 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -83*t - 20. Let a be r(-4). Suppose 292 - a = -5*n. Solve -2*l + 3 = -g, 9 = -n*g + 4*l + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/99 - 49\/99. Let d be -2*(0 + (-3)\/(-21)). What is the nearest to 1 in d, -4\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*d + 4*d + 4*d)*(17 - 17 - 2*d) + 2*d**2 - 5*d**2 + d**2 - 5*d**2 - d**2 + 4*d**2 + (-25 - 6*d + 25)*(2*d + 3*d - 4*d))*(-2 + 2*d + 2).\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5606 - -5469. Let t = -0.041 - 0.959. Is t bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + 2*k - 1. Let g be o(1). Let y be ((-3)\/7)\/((-12)\/g). Factor 0 + y*p**3 + 2\/7*p**4 - 2\/7*p**2 - 2\/7*p.\nAnswer: 2*p*(p - 1)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*n**2 - 135*n**2 + 0 + 78*n**2 + 10.\nAnswer: -2*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -502 - 13*s + 502 + (-4 + 0 - 2)*(1 - 1 - s) + 3*s + 4*s + 2*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 3*k - 9, -4505035*k = -4505032*k + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 0.7. Let y = 0.6 - q. What is the nearest to -1\/4 in -4, 3\/8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 17*c. Let d be (-9)\/(-4)*(8 - 4). Let o be g(d). Suppose 0 = 5*p + 2*i - 118, -p + 4*i = 3*p - o. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/154710 and 103\/72?\nAnswer: 618840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8111 + -0.811103753. What is g rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -548, -2, 4, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((13 - (16 + -25)) + 7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83241275 + -51715566. Suppose -v + 6925709 = 6*n. What is n rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 70?\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1*w*w**(2\/5))**(18\/5)*w**(3\/5)\/(w\/(w**(-2\/15)*w))*(w**(-2\/7)\/w*w)**(16\/9) assuming w is positive.\nAnswer: w**(19213\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1.0787703\nAnswer: -0.10787703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4 - 19. Let p be (-112 - -115) + -3 + 3 + -2. Sort 3, u, -3, p in ascending order.\nAnswer: -3, p, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/33))\/(t*t**6) assuming t is positive.\nAnswer: t**(-199\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 50 = -82 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-21 - -13 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193320000 rounded to the nearest one million?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2259 + 3541. Is 104 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 8*q**2 - 3*q + 2. Suppose -29*y - 20 = -30*y - 4*x, 5*x + 17 = 4*y. Calculate f(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19580\/9 + 2178. Find the common denominator of h and -63\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2 + 962*g - 1591*g - 3751*g + 8.\nAnswer: -4380*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97489.39km to centimeters.\nAnswer: 9748939000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5411.74 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n - 241. Let q be k(0). Let r = 245 + q. Solve -f + 5*t + 14 = 0, t = r*f + 4*t - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4 + 10074*i**3 + 393927*i**2 + 4852448*i + 18122496 = 0?\nAnswer: -16, -7, 10113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 d when four letters picked without replacement from kyyddddzd?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(170))\/(sqrt(80)\/(2*sqrt(8))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*q + 410*q - 32*q - 38*q - 320*q.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28629 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246120579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29197?\nAnswer: 7, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 - 6 + 2*c)*(-5 + 2 + 2) + 0*c + 3*c - c + (-27 + 4 - 26)*(-3*c + 2*c - c) in the form o*c + a and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-6) - 0)\/(17 + 6055\/(-350))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2195*x**2 + x + x + 807*x**2 as z*x + n*x**2 + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = 24 - 42 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Let g = 7135\/14 - 3564\/7. Factor -g*v**3 - 5\/2*v**2 - 4*v - t.\nAnswer: -(v + 1)*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 11*a + 1186 = -13*a, 4*h + a - 1201 = 0. What are the prime factors of h?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*m + 2. Put -2, 0, m in decreasing order.\nAnswer: 0, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 959*z\/2 + 958.\nAnswer: (z + 2)*(z + 1916)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 12\/7 + -163 + 159. Which is the biggest value? (a) 3 (b) u (c) 0.04 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12200594 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 3. Suppose 2*v = 4*s - 0*v - 32, -2*s + 16 = -2*v. Let d be 28\/s + (-2)\/4. Let g(f) = 2*f - 4. Give d*g(z) + 4*p(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 0.06, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 20 = -a. Solve -29 = -5*u - o, -a*u + 2 + 34 = 4*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3945\/9149 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/39886 and -3\/440?\nAnswer: 797720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -0*o + 3*p - 8*p - 40, -o - 247 = -p - 245 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3332\/714*(-4)\/(-56).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0 + 0*a**7 + 11\/12*a**4 - 3\/112*a**8 + 0*a**6 - 22*a**2 + 0*a + 0*a**5 + 0*a**3. Find the second derivative of m(n) wrt n.\nAnswer: -180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(57)\/sqrt(3) + sqrt(19))*-6 + sqrt(1539) + -1 + -1.\nAnswer: -2 + 81*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 57*h**2 + 11*h - 12. Let b be z(10). Let u = b + -2985. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -317.03 (b) 8410 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 656.\nAnswer: 655.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2958)\/34)\/((-24)\/(-32)*-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/66)\/(246\/902) + (-227)\/154*-1\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 581, 578, 575, 572?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1867 - -1.\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 13126350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -214.\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6867 and 11592?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {h: 2, s: 1, g: 1, m: 2, p: 1, d: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and -0.524599?\nAnswer: -37.771128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -197, -3, 5, -1\/3, 2\/11 in decreasing order.\nAnswer: 5, 2\/11, -1\/3, -3, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.17, -1, -4, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o + 581. Let m be d(0). Suppose t = -r + 311, 3*t - m = 3*r + 376. List the prime factors of t.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2821*h**4 - 434*h.\nAnswer: 33852*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 109, 105, 99, 91, 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.87631 - 68.27219.\nAnswer: -69.1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 - 35*q + 125. Give y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let b(c) be the third derivative of 3*c**4\/8 + 7*c**2. Determine b(t(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -527614*m*t**6 - 431*m*t**2 - 2*m*t - 93*m + 12*t**6 + 9 wrt t.\nAnswer: -63313680*m*t**3 + 1440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 2. Let s = 18623 + -18631. Let m(q) = q**2 + 3*q + 5. Calculate s*c(b) - 3*m(b).\nAnswer: -3*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 78624850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -g - 12, 0 = -12*g + 7 + 41 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 2\/17, -1\/3, -1.3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3328))\/(-2*sqrt(400)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21930267*b**2 + 29880952.\nAnswer: -43860534*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5234 is divided by 880\/140*(6 + 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 3.1. Let j be 2\/11 - 64\/(-11). Let c be (7\/(-14))\/(j\/105). Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 - 9*x + 12. Let h(o) = -10*o**2 + 8*o - 11. Let b(s) = 6*h(s) + 7*j(s). Find a, given that b(a) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:28 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19235542, 38471094, 57706646?\nAnswer: 76942198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305312551 (base 6) in base 12?\nAnswer: 1935757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1037, 4, 3 in decreasing order.\nAnswer: 4, 3, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1620) + sqrt(1620) - sqrt(140)\/sqrt(7)*-4)\/(4*((sqrt(1210)*3 - sqrt(1210))*4 + sqrt(1210))).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29355920 a multiple of 2475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -996*t + 16012. What is k(15)?\nAnswer: 1072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67489997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7320406 decades to millennia.\nAnswer: 0.007320406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2510.4 * -12\nAnswer: -30124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 240766 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + 7. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let d(i) = -3*i - 6. Give f(d(o)).\nAnswer: -3*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 114*l**2 - 123*l**2 + 2 + 1 wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, -4, 476 in increasing order.\nAnswer: -4, 162, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 20467869941.361.\nAnswer: 20467869932.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -6928*z**2 + 20778*z + 18 = 0. Calculate z.\nAnswer: -3\/3464, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004023 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 8*l = -6*l, 2*f + 3*l + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f - 137. What is c(29)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:11 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) + (sqrt(5)*-2 - sqrt(5)) + sqrt(5))**2)*6 + -1.\nAnswer: 6*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03425795499 to four decimal places.\nAnswer: -0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/96)\/((-1075971)\/(-1075142)). Let i = r - -30\/7631. What is the common denominator of -9 and i?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -378, -1276, -3020, -5892, -10174?\nAnswer: -16148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (1 + 2)\/(-3). Suppose -3 = 2*u + 3. What is the third smallest value in s, -0.3, u, -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -541750, -1083498, -1625246, -2166994, -2708742?\n\"Answer: -541748*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 239*v**6\/6 + 137*v**3\/3 - 275. What is the third derivative of l(j) wrt j?\nAnswer: 14340*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 230*j + 148. Calculate t(-108).\nAnswer: -1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1017 = -8*b. Which is greater: b or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1566, 3137, 4710, 6285, 7862, 9441?\nAnswer: 11022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 500 = 3*o + d, 322 = 2*o + 3*d. Is 41 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-304)\/(-10) + 10\/(-25). Suppose v + 0*v - 28 = -3*y, 4*y - k = -5*v. What is the remainder when 28 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112726 nanograms in grams?\nAnswer: 0.0000000000112726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -22 - (-2 - -1). Let q be (-5)\/5 + (-22)\/c. Let g = 0.5 - 1. What is the nearest to -2\/7 in -4\/9, g, q?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2. Let y(f) = -5*f**4 + 15*f**3. Let l(r) = -5*k(r) - y(r). What is z in l(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 226146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 98.02. Let j = g - 100.92. Round j to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.1*99432.\nAnswer: -1103695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 2*h)*(0 - 1 + 3) + (5*h + 0*h + h)*(-1 - 1 + 1).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -138, 104, -142\/3, 1\/6?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + l = -228, 5*m - 8*l - 270 = -3*l. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24126965*v + 770561 wrt v.\nAnswer: -24126965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 208, 305, 402, 499, 596, 693?\n\"Answer: 97*m + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 6:50 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*q + 83, 5*d = 4*q - 2*q + 173. Let x = d - 15. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/4*(-447)\/(-312). Let o = -365\/13 - j. What is the common denominator of o and 3\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) - (-2)\/4. Let c be (-254 - 516780\/(-2030))*(1 - 3\/10). What is the smallest value in x, c, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a**3 + 5*a - 2*a - 3685 + 3683 + 11*a.\nAnswer: 62*a**3 + 14*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/(-112) + 2325\/(-1240)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - (-2400)\/168. Let c(z) = -3 - 1 + z**3 + 0 + 6*z**2 - z. Let m be c(-6). Solve -t = 4*k - m*t + y, -3*k + 2*t = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -52)*650\/(-100). Let w = z - 335. Solve -j = -u - w*u - 13, j - 2*u - 9 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 216, 10, -23, -77, 3 in increasing order.\nAnswer: -77, -23, 3, 10, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 16) + -4 + 3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1546663?\nAnswer: -1546670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -4 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978627759?\nAnswer: 79, 25045921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/10498 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = 0, 302 = 4*n + l + l. Suppose 2*t + 2*t = n. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247002.3 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7364713 to the nearest integer?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 6250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + 2*f + (1 + 0 + 1)*(0*f + 3*f - 2*f) + 3*f + 0*f - f + f + 0*f - 2*f)*(-4*f**4 + 0*f**4 + 3*f**4) - 4*f**5 + 4*f**5 - 6*f**5.\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1 - w**3 + w**3 + 5*w**2 + w**3 - 7*w. Let b be (-296)\/50 + 32*(-51)\/20400. Determine d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107352 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 112962426 to the power of 1\/2, to the nearest integer?\nAnswer: 10628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802472.\nAnswer: 2, 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 959 - 916 = 23*o, 0 = -o - 2*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 555149.6929 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/48*4 - (-3)\/12. Solve -2*v + 6 = 0, 0*g - q*v + 5 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -13. What is the second biggest value in h, 4, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80))*4 - 4*-5*sqrt(80).\nAnswer: 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (51\/2)\/((-26)\/(-52)). What is the highest common divisor of 69 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0 + 0*i**3 + 0*i - 1\/24*i**4 + 5*i**2. Let y(m) = -2*m. Give o(y(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 233, 208, 163, 92, -11, -152?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92726409 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19609 = 4*p - 55591. Round p to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 8, n: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 + 5*m - 4. Let f be p(-6). Suppose -f*b + 4 = -u, -3*b + 5*b + 5*u = -8. Let w be b\/(2 + -3) + 4. Solve 1 - 4 = w*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, 0.3, -0.1 in ascending order.\nAnswer: -9, -4, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 177. Suppose -h*w + 72*w - 26 = 0. Solve i = 2*x - 6, -w*x - 2*i = x - 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 16*a**3\/7 + 1026*a**2\/7 - 1984*a\/7 - 264\/7 = 0.\nAnswer: -66, -1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 53 - 18. Suppose 0 = 3*v + 2*x - 4, p*v + x - 5 = 11. Let a(o) = 2*o**2 + 2*o + 9. What is the tens digit of a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37 and -39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2941777.\nAnswer: 47, 62591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.304 + 0.004. Let g = -0.1 + 5.1. Let f be ((-1)\/(-6))\/((-1)\/(-4)). Which is the second biggest value? (a) l (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*a**4 + 12*a**4 - 31*a**4 + 9*a**2 + (5*a**3 + 0*a**3 - 4*a**3)*(2 - 2*a - 2).\nAnswer: -3*a**4 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780 divided by -54?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 4360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 + 34. Let d = -121 - s. Suppose -m + 4*m - 1371 = -5*z, 1082 = 4*z - d*m. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 166\/(-6) - (-6)\/9. Let m = b - -38. Calculate the lowest common multiple of m and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*z - 50 = -15, 20 = 5*z. Suppose -3*y + 28 = -r, -3*y + 7 = -c*r - 1. Let d = y + 29. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/(-27)*(-8)\/8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 7}. Give prob of sequence fx.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqrq. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2968 - 2837 + 3*d**2 + 5805.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12768 - -12785. Solve -3*u + 4*w - 1 = s, -5*w + 13 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*q + 2 = 0, -5*n + 20 = -3*n + 4*q. Let b be 5\/30*3*-6 + 21. Find the third derivative of b*h**3 - 27*h**3 + 4*h**2 - h**n wrt h.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*c + 180*c = 0. Suppose c = 4*r - 1919 - 605. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 45*s**2 - 1 - 45*s**2. Give g(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -1 - (-4)\/4. Let f(x) = -x - 1. Let r be f(-3). What is the second derivative of c - c + n*c**r + c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**2 - 6*z + 7. Let k(u) = -24*u**2 + 13*u - 15. Let t(x) = -7*g(x) - 3*k(x). Give t(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2\/3*d**3 + 0*d**2 - 53*d - 29. Let y(v) = v. Determine y(k(m)).\nAnswer: -2*m**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25562 + (10\/(-25))\/(3\/15). Suppose -3*s = 3*s - z. What is s rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 13505?\nAnswer: 3\/13505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22876, -22878, -22880, -22882?\nAnswer: -22884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/20)\/(2\/30). Let d = 11 - o. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 63*z**2 - 5*z + 151. Let q be n(21). Solve 0 = q*d - 5 + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66343678 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293414692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/21)\/c**(-2\/103))**(-39) assuming c is positive.\nAnswer: c**(-3224\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 36. Let c(n) be the third derivative of 2\/3*n**3 + 0*n + 0 + 1\/60*n**5 + 2*n**2 - 1\/6*n**q. Factor c(f).\nAnswer: (f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 - 6 = 0. Let a(d) be the third derivative of d**4\/24 + d**3\/6 - 863*d**2. Let p be a(l). Solve p*h - 6*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-761 - -770)*3\/(-207)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 46. Let g(m) = 4*m**2 + 11*m - m**2 + m + 2*m**w + 7. What is the tens digit of g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1038*f**2 - 48*f**2 + 629*f**2 - 88*f**2 - 159*f**2.\nAnswer: 1372*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, 6\/47, -1, -76, 2, 4?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132928*a = -132923*a - 180 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 9 = -25*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/((4\/(-22))\/((-225)\/(-75)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, s: 3, q: 4, d: 6}. Give prob of picking 4 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1885 = -5*c, 4*c - 2*c + 735 = 5*l. Let o = c + 679. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2. Let t = 11 - 7. Let o(b) = b - t*b + 5*b. Give o(u(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + (-4 - -3) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 2. Suppose -5*t - 3 = -3*o + 7, -14 = -4*t - 2*o. Suppose -2*b = d + t, -d = -2*d + 4*b - 7. Let g be ((-8)\/6)\/(d\/9). Determine p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/11))\/(i\/(i**(-3\/4)*i)))\/(i*i**1)**(1\/25)*i**(-2\/17)\/i**6*i**(3\/7)\/i*(i**(2\/17)*i*i)\/i assuming i is positive.\nAnswer: i**(-42991\/7700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020121 (base 3) in base 10?\nAnswer: -907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4287 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -671 - 160. Which is greater: -814 or p?\nAnswer: -814","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581542264 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 25808?\nAnswer: -25810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2528 and 1.43.\nAnswer: -2526.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73329*t**2 + 144847*t**2 - 71510*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 15*k**2\/2 + 3*k + 1. Let y be a(4). Let o = -35 + y. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (-4 - 17 - -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.62139 grams in kilograms?\nAnswer: 0.09862139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -26. Let z = 651262151.99999915 + -651262178. Let m = w - z. Round m to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/2 + (-10 - -6). What is the first derivative of -g - 9*u**4 - 3 + 4*u**4 - 7*u**4 wrt u?\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*v + 5*t - 55 = 296*v, -2*t = 3*v + 13 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*o**2 + 13 - 13 + 46*o + 80*o**2.\nAnswer: o**2 + 46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34585*f**2 - 68577*f**2 + 34317*f**2 + 2*f.\nAnswer: 325*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2319 divide 130633971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -444990.79 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2. Let v(q) = 67*q - 618. Give v(d(h)).\nAnswer: -268*h**2 - 618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 2:47 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**23)**15*h*h**2\/h*h*h*h*h**(1\/3)*h*h*h**5\/h*h\/(h*h**(-3)) assuming h is positive.\nAnswer: h**(-992\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 5) + -8 + -6 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 72727.\nAnswer: 2\/72727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5*1 + (7 - 15) + 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - m**3 + 5*m**2 + m - 2903*m**4 + 2900*m**4 in the form s*m**2 + b*m**3 + n + u*m + w*m**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.8348 + -6873.9588906\nAnswer: -6873.1240906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 7. Let n be g(-6). Let c(r) be the third derivative of -1\/10*r**5 + 0*r**3 + 0 + r**2 + 0*r**4 + 0*r. Calculate c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 4 = -14*p. Suppose -5*z + 17*z - 912 = 0. Let d = z - 63. Solve 2*c - k = -2*c - d, 0 = 3*c - p*k + 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1629*g + 9. Let t(w) = -814*w + 4. Let a(v) = -2*d(v) + 5*t(v). Let n be a(1). Round n to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 8. Let l be ((-8)\/(-12))\/((-1)\/(-6)). Let n be k(l). What is the remainder when 18 is divided by (n - -1)*1*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-28))\/(-3)*5\/(125\/(-30))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.8691228 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 872, -1149, -4524, -9259, -15360, -22833, -31684?\nAnswer: -41919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - -85 - (2 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 164 = 5*u, -4*p - 3*u = -8*u - 212. What is the remainder when p is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 9. Let u(c) = 1. Let t = -110 + 104. What is t*u(i) + x(i)?\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96665*b**2*t**2 + 1819*b**2*t - b*t**2 - 41*b*t wrt t.\nAnswer: 193330*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59\/6 - -10. Find the common denominator of ((-54)\/(-10))\/(28\/(-35)) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 45 = -4*p + 6*p, 3*p + 71 = 5*q. Which is smaller: -21 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*6\/(-36) + (-1)\/1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:11 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 27*n - 3. Is 39 a factor of b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-6)*(-2)\/3. Suppose -3 + 6 = -n. Let u = 3366 + -3363. Sort j, n, u in ascending order.\nAnswer: n, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 27 = -s, -2*n + 206 = 5*s + 65. Let v = s + -21. Suppose 0*o + v = -2*o. Which is the second biggest value? (a) 5 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 13*a**2 - 25*a - 24. Determine h(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 1. Let v = -39 + 33. Let d be (-3)\/v*(-6)\/3. What is a(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597265650 divided by -74565?\nAnswer: 8010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, -6, 0, 2\/5, -2\/5 in decreasing order.\nAnswer: 2\/5, 1\/26, 0, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w + 2*o = 60, -2*o = -2*w - 34. Let a(t) = -2*t - 6. List the prime factors of a(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195, -199, -201, -201, -199, -195?\n\"Answer: d**2 - 7*d - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4952.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -847574387 and 0.0316?\nAnswer: 847574387.0316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 + 4*t**2 + 2*t - 12 wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171*n + 85035 = -203*n + 1065*n + 22012 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8221 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 45*k - 297. Calculate the remainder when 68 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**8\/6720 - b**7\/630 + b**6\/240 - b**5\/30 - b**4\/8 + b**2. Let h(i) be the second derivative of f(i). Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 6*m + 30. What is the tens digit of r(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046106 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/143363958 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 77 = 81, -272 = -4*w + 2*j. Suppose q - 2 = 4*v, 7*v - 2*v - 30 = -2*q. What is the remainder when w is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*z - 4*a, -3*a - 7 + 1 = 0. Let y(s) be the first derivative of 0*s - 1\/8*s**4 + 0*s**2 - 1\/6*s**3 + z. Factor y(r).\nAnswer: -r**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -106327269\nAnswer: -53163634.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -229, -792, -1867, -3454?\n\"Answer: -256*v**2 + 205*v - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23262 - -20433.\nAnswer: 43695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/10*(-1 - 0). Suppose -h*j = -20 - 2. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a micrometer in nanometers?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1328 in -63, 1\/4, -0.4, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 12*h**2 - 20*h + 5. Let t be o(10). Suppose 4*q + 2*z = 32, -2*q - 23 = -t*q - 2*z. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -16, -6\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -7*v + 280. Let y(p) = 24*p - 67. Calculate the remainder when y(14) is divided by v.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(36\/3))\/(1\/(52\/(-20))).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5589 = -45*v + 239*v + 2753 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.2, -0.5, -3, 85.4, 4\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 285\/(-4 - -1). Suppose -l + 2*l - w = 0. Let v = -58 + l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:13 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1449 + -1446. Solve -k - 11 + 29 = -3*h, -p*h - 30 = -5*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:07 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*b + 0*b = 197, 5*b = p - 187. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 31041978.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -87, -232, -451, -750?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 7*z**6\/60 + 2*z**4\/3 + 16*z**2. Find the second derivative of p(q) wrt q.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 16. Suppose -y - y + g = 0. Find the second derivative of -u**5 + 4*u - 4*u**y + 3*u**5 + 4*u**3 wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u**3 - u - 1. Let b be w(2). Calculate the common denominator of 30\/7 and 1\/(-3) + b\/(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Let h = -2 + i. Let g = h + -0.8. Sort 5, g, 0 in increasing order.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/13 - 10*t**3\/13 - 50*t**2\/13 + 10*t\/13 + 48\/13 = 0 for t.\nAnswer: -3, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 5 + 6 - -3. Suppose 6 = 5*i - j*i, -4*h + 5*i + 50 = 0. Solve -4*l = 5*s - h, -4*s + 5*l = -2*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*o + 912977*o**3 - 913194*o**3 - 259*o.\nAnswer: -217*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 18 = 2*j, -11*j - 3 = 2*u - 8*j. Let q(o) = -4*o - 9. Let k(b) = -5*b - 10. Give u*q(p) + 5*k(p).\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 31*w - 72. Determine v(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5181.111 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5723*f + 118. Let j(a) = -286*a + 6. Let m(h) = 3*d(h) - 59*j(h). Let w(p) = -p. What is w(m(q))?\nAnswer: 295*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 18 + -34 + -10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let y be (-7)\/35 + 152\/10. Let x be -3 + 8 + 5 + y. Suppose 0 = a + 2*q + 11 - 0, 5*a + 4*q = -x. Let h(k) = k + 2. Determine a*h(l) - 2*w(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**17\/((c*c\/c**31)\/c))**3 assuming c is positive.\nAnswer: c**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 360 = -7*y. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 - 52. Let h = a - 665\/9. Is h less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 2 - sqrt(1573))))**2 - sqrt(1573)) + sqrt(1573))*6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959 = 94*r + 295*r - 12656 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/6))**(-50)*k**(-6\/5)\/((k\/(k*k\/k**(-18)*k))\/k) assuming k is positive.\nAnswer: k**(-328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 - 271 = -14*s. What is the greatest common factor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1026 and 6338250.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1214604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 109*m**3 - 9*m**2 + 8*m + 77. Give w(-3).\nAnswer: -2971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9 + 175\/15)*(-12)\/5 and 49*((-27)\/(-15) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -0.569682\nAnswer: 0.3987774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by -56.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*q = -522*q - 2146. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*r + 53, -3*p - 7*r - 18407 = -18393 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582 and 140622258?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -780.42 less than -3944?\nAnswer: -3163.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9265 != 9264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3472)\/(-98) + -36 - ((-83)\/(-63) + -1).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*w + 144*w - 4202361 = 0. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y + 2*y + 5 - 3*y)*(-3*y - 2*y + 6*y) - 2*y + y**2 + 2*y + (2 - 2 - y)*(4 - 4 - 4*y) in the form f + z*y**2 + k*y and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 852\/18 - (-2)\/3. Let u = 6 + -2. Suppose 3*l - 48 = -5*v, v + u - 24 = 2*l. What is the highest common divisor of a and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and -20.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1289*c**5 + 2*c**2 - 158 wrt c.\nAnswer: -77340*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n + 7. Let s(o) = o**2 + 5*o + 4. Let f be s(n). What is the greatest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 less than or equal to -606\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*v - 12, -4*s + 8 = v - 9. Let m(w) = 4*w + 159. Let p be m(4). Let x = -156 + p. Calculate the remainder when x is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, g: 5}. What is prob of picking 1 g and 1 o?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 23. Let o(t) = -t + 17. Is o(s) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, 17 in descending order.\nAnswer: 17, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 9*o**3 - 15*o**2 - 9*o + 12.\nAnswer: 3*(o - 1)**2*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 48 = 10*o - 11*o, 3*o + 5*l - 137 = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a0 - 50a?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/7 + 829*i**4\/7 - 26089*i**3 + 4476167*i**2\/7 - 3836768*i - 4502428 = 0.\nAnswer: -1, 14, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0 - 3\/20*u**5 + 3*u + 0*u**2 + 1\/3*u**4 + 0*u**3. Find the third derivative of d(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642254 is divided by 279?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 16*o**2 + 10*o - 23. Let w be k(-15). Suppose -10 = -7*c + 5*c. Suppose -c*d + w = 2*r - 36, 3*r = d - 21. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -657 in 3, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 721761161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:14 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1630 - -1?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 69*h**2 - 290*h - 138. Let x be f(73). Solve 3*k = 2*z - 16, 2*z + 6*k - 7*k - x = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, -24137, 1 in increasing order.\nAnswer: -24137, -5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 15. Let p be r(-6). Suppose -47 + 252 = 4*s + p*d, 3*d = 4*s - 235. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.2895 - -17. Round u to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*(-3 + -5 + sqrt(15)\/(sqrt(12)\/(sqrt(12)\/sqrt(3)))))**2*-5)*3.\nAnswer: -16563 + 3840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*i - 99*i + 0*i + (2*i + 4*i + 3*i)*(1 - 3 + 3).\nAnswer: -107*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/5)\/((12\/(-16))\/((-180)\/(-32))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981417431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (-2 + (-94)\/(-18)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 + 0.3. Let g = t + 13. Do 1\/4 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-6*b + 9 - 9)*(6*b**4 - 2*b**2 + 2*b**2).\nAnswer: -36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*m**4 + 170*m + 24*m**2 - 14*m**2 - 154*m wrt m?\nAnswer: -360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104132, -4, 52 in decreasing order.\nAnswer: 52, -4, -104132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*i - w + 4, 20 = -2*i + 5*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37928301, 37928300, 37928299?\nAnswer: 37928298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 717016*m + 1434016.\nAnswer: 4*(m + 2)*(m + 179252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-780)\/(-252) + 3\/(63\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200560 and 805.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 964224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -6. Is 53 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 755292 and 2121042.\nAnswer: 2876334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 848?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose x + 24 = b*x. Calculate the highest common divisor of x and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.947 + -0.053. Sort -12, h, -1\/3 in increasing order.\nAnswer: -12, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -441654, -1765200, -3971118, -7059414, -11030094?\n\"Answer: -u**3 - 441180*u**2 + u - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82990 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a - 5. Let h(d) = -10*d - 6. Let z(s) = 6*h(s) - 7*y(s). Let x be z(2). Let v = x - -1. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 1173, 2561, 4421, 6705?\nAnswer: 9365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 35 + (1 - 4) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -312 - -308. Let g = 18 - 39\/2. Sort v, g, -3 in ascending order.\nAnswer: v, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8549116 is divided by 1674.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*o**4 - 10*o**2 + 3*o + 1 + 8 + 4*o**2 + 5*o**2 - 11 as c*o**4 + k*o**3 + g*o**2 + m + n*o and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4158706843?\nAnswer: 23, 1217, 148573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 29. Let y = f + 27.1. What is the second smallest value in y, 0.5, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12581 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 + 2*l - 1. Let y be s(-5). Let z = y + -7. Let k = z + 6. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z + 66 = -4*c, 0 = -z + c - 15. Let p(u) = -u**3 - 13*u**2 + 16*u + 28. Let l be p(z). Solve l = -h - 6*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*g - 16, 2*b - 2*g = 6*b + 16. Let p = 10 + -4. Let d be ((3 - (3 - 0))\/(-2))\/(-2). Sort p, d, b.\nAnswer: b, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 6*p**2 + 19*p - 21. Let x(w) = 2*w**3 - 14*w**2 + 9*w + 11. What is the remainder when x(7) is divided by v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -12711 + 12724. Which is the closest to w? (a) -0.5 (b) -0.2 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31320212 (base 5) to base 11\nAnswer: -168944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f + 189 + 273 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*z)*((9*z + 6*z + 0*z)*(3*z**2 + 0*z**2 - 2*z**2) + 0*z**3 - 2*z**3 + 0*z**3) as w*z**3 + u + r*z**4 + d*z**2 + f*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 189 = -5*g + 3*f, -4*f - 12 = 0. What is the least common multiple of 84 and g?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + 182 + -177 + -17 - (0 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {j: 1, g: 8, h: 1, r: 5, i: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 25720 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -144*s - 63. Let l be 5 + -6 - (-124)\/(-2). Suppose -4*x + 14*m + 8 = 16*m, 0 = -4*x - m + 12. Let t(y) = -9*y - 4. Calculate l*t(g) + x*j(g).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 2*w**4 + 3*w**4 + (-4*w**2 + w**2 + 2*w**2)*(4*w**2 - w**2 - 4*w**2) + (w**2 + 2*w**2 + 2*w**2)*(-2*w**2 + 3*w**2 - 4*w**2).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1459, -1447, -1431, -1411?\n\"Answer: 2*w**2 + 6*w - 1467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47\/6, -0.4, 0.3, 8462, 2\/13 in increasing order.\nAnswer: -0.4, 2\/13, 0.3, 47\/6, 8462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*b + 20 = -0*b, -5*b = -5*t - 15. Suppose -5*w + t*c + 14 = -2*c, 0 = 4*w + 3*c - 5. Solve -2*z + w*x - 10 = 0, -5*x + 10 = -4*z - 3*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-39)\/(-468))\/((-6)\/(-544)) and (10\/6)\/(1 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276.1*3009.\nAnswer: 830784.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 + 3*g + 2. Let t be z(-3). Suppose -d + 5 = t. Suppose 4*q = a - 6*a + 201, -5*q + 279 = -d*a. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56388 and 2286.\nAnswer: 169164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -426*s**2 + 107*s + 8. Let k(l) = -142*l**2 + 38*l + 3. What is 8*k(o) - 3*y(o)?\nAnswer: 142*o**2 - 17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23*8166346\nAnswer: 187825958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870853025?\nAnswer: 5, 7, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 6:24 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a - 1157*a - 1277*a - 17029 = 5489 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 551*n**3 - 17*n**2 - 17*n + 998. Let d(f) = 184*f**3 - 6*f**2 - 6*f + 333. Let k(w) = 17*d(w) - 6*r(w). Differentiate k(x) with respect to x.\nAnswer: -534*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 72 = n. Let x be (4\/(n\/9))\/((-6)\/(-24)). Solve d = x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-38))\/((-108)\/(-32))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/13 + -147\/143. What is the nearest to -2\/5 in 4, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114333 (base 6) in base 3?\nAnswer: -2212210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -s - 2 - 5, 4*h + 27 = 3*s. Let z(o) = 6*o**2 - 13*o + 1. Let a(w) = 6*w**2 - 14*w. Let l(q) = h*a(q) + 4*z(q). Let l(t) = 0. What is t?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)*b)**(-31)*b**5\/b*(b\/((b**(2\/15)*b)\/b))\/b*(b*b*b\/(b*b**(-2))*b*b**(3\/7))\/(b**(-2\/7))**(-4\/35) assuming b is positive.\nAnswer: b**(-22487\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1924 + 564 + 52*f**4 + 40*f**4 - 576 with respect to f.\nAnswer: 368*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w + w + 6 + (-1 + 2 + 1)*(0*w + 0*w - w))*(0 + 0 + 1)*(-5 + 5 - 3).\nAnswer: 3*w - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29435 is divided by 2098.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 3*m**2 - 3*m**2 + 5*m**3 - m**3 - 3*m**3 + (2 - 2*m - 2)*(-2*m - m**2 + 2*m) - 3 + 3 + 27*m**3)*(-4*m**2 - 4*m**2 + 6*m**2).\nAnswer: -64*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 1 - 5. Suppose 0 = 5*o - z*d - 8, 6*d = o + d + 16. Suppose -o*x + 3*u = -56, 3*x + u - 38 = x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 - 45*l**4 - 9*l**3 + 3637*l**2 - 1785*l - 1800 = 0.\nAnswer: -8, -1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*135\/(-54)*3\/5 - -41 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -1\/29808518?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(102\/560643*(-5)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 v, and 1 w when four letters picked without replacement from {v: 14, w: 1, a: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from ahhalr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.71 - 30.71. Let u = -24 - y. Let h = -254\/7 + 36. Sort 3, 5, h, u.\nAnswer: h, u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4013*u + 267945 = -36568 + 7551 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34360, 34366, 34392, 34450, 34552?\nAnswer: 34710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1539) + -1 + (-2 + sqrt(1539) + 1)**2.\nAnswer: -9*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 550879031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3450923\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -399.4437 and 114?\nAnswer: 513.4437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/7 (b) -2\/3 (c) 0.056 (d) -3\/4 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 + 9*k**3 - 3 - 4*k**3 as g*k**2 + q*k**3 + t*k + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. What is the closest to -0.1 in f, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x + 7. Let p be n(2). Which is bigger: p or -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1059*l + 5339 = 11960 + 15618 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/243081 and 49\/117039?\nAnswer: 3160053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 2*y + 2. Let h be m(0). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5101622163 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -985504 divided by 5356?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 34*k + 912601. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161 or -87364?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.023, -4, 3, 8, -0.6 in decreasing order.\nAnswer: 8, 3, 0.023, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36417258 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -530*r - 152*r - 330*r - 197*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, -155, -2, -4, 0.052, -5, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 + -47)*8\/((-6)\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7101 + 67643. Let a = r + -2905877\/48. What is the common denominator of 13\/4 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6352 - -9291. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -20. Let g = 7958\/17255 - 62\/145. Let d = -298\/1785 + g. What is the second smallest value in x, d, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*j - 10, 2*i + j = 95. What is the smallest common multiple of 146\/6 + (-1)\/3 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*h - 75, 5*s + 27 + 13 = 4*h. Let t = s + -1. Let w = t + 37\/3. Is w greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -15. Is ((-2)\/3)\/(g\/(-318)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62604 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-288)*12*(1 + -5). Let r(g) = g**2 + 7*g + 4. What is r(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570 divided by -257?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 41*f**2 - 13*f - 18. What is the units digit of g(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 4*a**2 + 18*a + 43. Give z(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 4*q**3 + 27*q**3 - 17*q**3 + (8*q - 5 + 5)*(-4*q**2 + 4*q**2 + 2*q**2) in the form x*q**3 + z*q + r + g*q**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k - 156. Determine s(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 4*t**2 + 165*t. Calculate q(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - ((-15 + 12 - 17) + 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -66, -92, -118, -144?\n\"Answer: -26*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 601 and -4434.\nAnswer: -2664834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {q: 3, p: 15, u: 2}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6*-4*(-68)\/(-136)*2\/(-9)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 50\/79?\nAnswer: 50\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i - 76. Suppose 16*b + 250 = 394. Let l be w(b). Let t be ((-14)\/6)\/((-1)\/3). Calculate the highest common factor of t and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5 + 24. Let y = -29 + h. Suppose m - 91 = -y*m. What are the prime factors of m?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4658 and -41\/1745.\nAnswer: 8128210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1080, -2142, -3166, -4158, -5124, -6070, -7002?\n\"Answer: -d**3 + 25*d**2 - 1130*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1. Let t = -6 + 7. Let q(z) = 2*z - 1. Let k(j) = t*m(j) - q(j). Let r(d) = 5*d**2. What is k(r(c))?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 1644*l + 84426804.\nAnswer: -3*(l - 5038)*(l + 5586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b**2 - b**2 + 2 + b**2 + 0*b**2 wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630551927.\nAnswer: 3, 37, 239, 61463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 269851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 22 + 49 - 16 + 39 + 3*k**3 in the form s*k**2 + z*k**3 + l + n*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4474059578?\nAnswer: 2, 2237029789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 35. Is (1 + (-3)\/k)*-68 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(4*1*(-3)\/42). Let m(i) = -5*i + i + 3*i - 2. Let a(k) = 3*k + 5. Determine w*m(y) - 3*a(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 13 = -i - 30*j, 0 = 2*i + j - 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + ((-9)\/2)\/((-9)\/(-12)). What is the remainder when ((-65)\/2 - g)*-2 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5\/5 - 54012*k**4\/5 + 108012*k**3\/5 = 0?\nAnswer: 0, 2, 18002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -1.8. Let k = u + 3. Let v be ((-576)\/45)\/(18\/(-15)) + -10. What is the closest to k in v, -0.3, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + 17*l**2 - 2*l - 9. Let s be h(8). What is the greatest common divisor of s and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + -1.1. Let l = -139\/1615 + -3\/95. Which is the smallest value? (a) p (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 1080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*4)\/sqrt(10) - 3*(sqrt(17) + -2))**2.\nAnswer: -72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**4 + 8447*a**3 + 27*a**2 + 74896*a + 271 wrt a.\nAnswer: -36*a**2 + 50682*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.156 + -1.355. Let q = w + 0.199. Put q, -4, -2\/3, 2 in increasing order.\nAnswer: -4, q, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17204031*i**3 + 16*i**2 + 4*i - 4267 wrt i?\nAnswer: 103224186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1224)\/(-84))\/((-5423)\/(-638)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7986 a factor of 2780605332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 6*y**2 + 6*y - 19. Let a be 5\/2*(-24)\/(-10). What is the remainder when 64 is divided by p(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*p - 345*p = -80. Solve -p*s = -5*w + 4, 4*w + 2*s = 6*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753901 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 168? (a) -4 (b) 1\/8 (c) 5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 + -14 + (17 - 2) and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699568 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 3*d + 15, 0 = 2*l - 4*d - 12. What is the first derivative of -4 - l*n**4 + 14*n - 14*n wrt n?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2505\/67 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 28 = -3*u, 5*r + 2*u - 92 = 4*u. What is the smallest common multiple of r and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 - 11 = 0. Let n = c - -13. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 15. Let s be a(-7). Let v = 11 - s. Solve j - 2*x - 16 = -3*j, 17 = v*j - 4*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*m = -q + 8, -2*m = 2. Suppose q*l - 14 = -6. Is 4 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 6*p. Let g be d(-4). Suppose 0*k + k + 19 = -2*x, 2*x = -2*k - 20. Let m = g - x. Is m at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:52 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633 (base 7) to base 15.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82959 and 1689.\nAnswer: 46705917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 13*s - 19. Give d(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pstvptcscevspt. What is prob of picking 3 p and 1 t?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-15))**(-7) assuming f is positive.\nAnswer: f**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -78. Suppose g = 4*j - 3*j. What is the tens digit of j\/2 + -2*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**14*t**(-2\/23))**(-28) assuming t is positive.\nAnswer: t**(8428\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 13*g**2 - 4. Let r be x(-1). Let w = -5 + 16. Are r and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(20) + 5.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7343542 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 0.02, -4\/5, -2\/17, -26.\nAnswer: -26, -4\/5, -2\/15, -2\/17, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -8, -63.\nAnswer: -63, -41, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/12 + -12 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21862 (base 14) to base 9.\nAnswer: -133375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28442192*s**2 + 56955081.\nAnswer: -56884384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*l = 160*l + 154*l - 1719 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*1\/(-20)*(-1256)\/(-157)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/789, -0.6, 21.\nAnswer: -0.6, 2\/789, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(2\/23))\/(t**(-2)\/t))\/((t**(-2\/7)\/t)\/t**11))**(1\/48) assuming t is positive.\nAnswer: t**(163\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 >= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 60. Solve -b*d = d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52362480 to the nearest integer?\nAnswer: 7236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*i**6 + 11*i**5 + 7*i**4 + 4408*i**2 + i + 3?\nAnswer: -14400*i**3 + 660*i**2 + 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.166, -15, -4, 1\/7?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -232133203132?\nAnswer: 232133203301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 801376 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from noeyyneteeynneyenyy?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 123147 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -5 (c) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -36. Sort -5, -3, -1, z.\nAnswer: -5, -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.1, -5, -2\/15, 539?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -174*w - 17564. Let c be p(-101). Let h(a) = -a**3 + 6*a**2 - 3*a - 6. Let k be h(5). Solve g - c + 0 = 4*b, -b - k*g + 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 2 - 5*g**3 + 6*g**2 - 5*g + 4*g**3 - g. What is the tens digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21978 = 42666*n - 43073*n for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6*(0 - -3)\/(-3). Factor y*b**2 + 1\/3*b - 2\/3.\nAnswer: (b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6*f + 5 = -4*s, 0 = -2*s + 2*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (135 - -3)*6\/9. Let z = -87 + y. Suppose -z*b = 5*w - 35, 3*b + 0*b - 2*w = 31. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, 0.237, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.498 + -259.498. Let x = f - -163. Let s = x - -93. What is the second smallest value in s, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjtjjjjjrjjuj. What is prob of picking 3 j?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2. Let f(z) be the first derivative of 4*z**3\/3 - z**2\/2 - z + 3. Let h be f(-1). Let g(i) = 2*i**2 - 2*i**2 + i**2 - h*i**2. What is m(g(b))?\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-88)*(-430870)\/(-1096760).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -52, 2, 7\/5, 0 in increasing order.\nAnswer: -52, -1\/5, 0, 7\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82, -79, -76, -73, -70?\n\"Answer: 3*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - s = 3*b + 4, s + 98 = -7*b + 40 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 41\/(-85) - 9\/(-15).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)*((s\/((s*s\/((s*s**(-8))\/s))\/s))\/s)\/s*(s\/(s**0*s)*s)**(-2\/141) assuming s is positive.\nAnswer: s**(-2117\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 2798, -34 in increasing order.\nAnswer: -69, -34, 2798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 38, 49, 60, 71?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3\/4, -15, 78, -1, 14\/3 in increasing order.\nAnswer: -15, -1, -3\/4, -2\/7, 14\/3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let x be v(2). Let o(l) = -6*l + 38. Let y be o(6). Solve -y = -4*m + x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3416908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 + 6161*h + 43517. Determine d(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 - -249. Solve -5*y + 2*n + k + 4 = 0, 4*n = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:25 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/(-88) + (-4)\/22. What is the remainder when 0 - (-54 + (x - -1)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16536332 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/3 + 2*r**2 + 2. Let g(o) be the second derivative of p(o). Let i(f) = f**2 + 1. What is -g(w) - 2*i(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let m be 406\/70 - (-8)\/(-10). Suppose 0 = -m*f - 10, k - f = 4*f + 13. Let t(u) = 2*u**2 + 4*u**2 - k*u**2 + 7*u**2. Give t(r(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2 + k + 1. Let o(a) = 12*a + 4*a**2 - 32 - 3*a**3 + 36 + 2*a**2 + 6*a**2. Let q(g) = -o(g) + 4*x(g). Is q(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m = 5*h + 2141, 954*m - 75 = 3*h + 951*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 115031708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2567*t**2 + 75*t - 811*t**2 - 820*t**2 - 939*t**2.\nAnswer: -3*t**2 + 75*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2 + (-2 + 0 + 4)*(0 - 1 + 2) - 1 + 3 - 3 + 4 - 6 + 3)*(-3*i**3 + 2*i**3 - i**3).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -18\/25 (b) 1519 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100010000111 - -10001100111?\nAnswer: 1010110011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, 26 in increasing order.\nAnswer: 2, 3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y**4 - 478*y**3 + 932*y**2 - 462*y = 0. What is y?\nAnswer: 0, 1, 231\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let x be (-1)\/a - (-16)\/4. Calculate the greatest common factor of x and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 1, l: 1, c: 2}. Give prob of picking 1 l, 1 r, 1 c, and 1 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o - 80 = 71*o - 1046 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4339 and 30?\nAnswer: 130170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -86691.206?\nAnswer: -26007.3618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 2*h**5\/5 - 283*h**3\/3 - 46*h**2 + 2*h + 1015. Find the second derivative of w(v) wrt v.\nAnswer: 24*v**2 - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 + 8*t + 2. Determine l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 826\/354 - 2\/(-24)*(5 - -351).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k + 37*k - 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 23. Let u be f(19). Let o = -39 - u. Suppose o = 3*c - 5*y - 0*y, 2*c + 3*y = 22. Calculate the highest common factor of c and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.14 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 311*a**6\/6 - 151*a**2 - 687. What is the second derivative of o(j) wrt j?\nAnswer: 6220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a kilogram in grams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 5:44 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2057) + 5*(sqrt(2057) + 0 + sqrt(2057)) + 5)**2 + 5.\nAnswer: 726*sqrt(17) + 248911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23485745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 3*c**2 - 1\/20*c**5 + 0*c**6 + 0*c**4 + 0*c**3 + 2\/105*c**7 + 0 + 0*c. Find the third derivative of h(b) wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -139312.\nAnswer: -9\/69656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - -4. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158, -246, -334, -422, -510?\n\"Answer: -88*l - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 6*j + 4*j)*(-2*j + 2*j + j**2 + (74 - 21 + 2)*(j - 2*j**2 - j) + 1 + j**2 - 1).\nAnswer: 108*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.808636 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1434, -1456, -1484, -1518?\n\"Answer: -3*y**2 - 13*y - 1418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 + u**4 + 0*u**4 + (-6 + 0 + 4)*(-5*u + 0*u + u)*(-5*u**3 + 4*u**3 - 2*u**3) as h*u**3 + m*u + s*u**4 + l*u**2 + k and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) 0.3 (c) 19\/3 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18683 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/11 (c) 1\/2 (d) 26079\/2327\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 9*n**2 - 31*n - 188. Let s be j(-10). Solve s = -10*y + 72 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose j + q*j - 12 = 0. Calculate the smallest common multiple of j and 1 + 1 + 0 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 620 + -615. Solve -6 = -c - 2*c - g*m, -3*m = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 319 = -56*f + 68 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0503 - 23238978.663?\nAnswer: -23238978.6127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (2\/(-5))\/1. Let a = 0.105 - -0.465. Let n = a + -0.07. What is the nearest to -1\/3 in -2\/5, n, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 10*k**2 - 22*k - 273. Let v be h(-6). Solve 0 = -3*l - 9*g + 7*g + 6, -v*l + 6 = 3*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - (-3 - (4 + 2178\/(-243)))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.1, 1\/2, 5, 0.3, 149444?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + (15 - 3) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-5)\/5)\/(-1 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -8, 20?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 163?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15892)\/16*(-5 + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.009 + 0.008. Let z = -0.041 - u. Let x = z + 0.14. Which is the fourth biggest value? (a) -0.05 (b) x (c) 0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6351, -6456, -6557, -6654, -6747, -6836?\nAnswer: -6921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1326.923 centuries?\nAnswer: 132.6923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50555 is divided by 178.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 2 - 0 - (1 + -16 + 15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 2*l + 4*l)*(-107*l - 25*l**2 - 109899 + 109899).\nAnswer: 25*l**3 + 107*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -1. Calculate the greatest common divisor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-11) + 5\/((-1540)\/(-1788)) + -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((6 - 2) + -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 12. Calculate i(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348608 = 7*x + 6171857. Let g = x - -655495. Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2126 + 296707\nAnswer: 294581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12434 + 2?\nAnswer: 12441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from lell.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a**2 - 646*a - 3 + 3 + 646*a. Let p(y) = -27*y. What is p(l(d))?\nAnswer: 270*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 4, s: 1, a: 1, w: 2, x: 4}. Give prob of sequence cq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.8 * 0.6.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 9*h - 6. Let n be b(10). Suppose -43 = -2*r + i, n*i + i = -5*r + 145. Suppose r = f - 8. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 12*a**2 + 11*a**2 + 2*a**2.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 - 8407*c**2 + 26*c - 923.\nAnswer: 18*c - 16814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41811747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) + 1*sqrt(864))*-6)\/(sqrt(192)\/sqrt(4)*5).\nAnswer: -36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24c (base 13) to base 5\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -0.5, -0.04, -5482, 0.4 in increasing order.\nAnswer: -5482, -0.5, -0.04, 0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-8) - 1\/4. Differentiate -4*i**o - 3 + i**3 + 0*i**3 wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 1000?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 + 21*y**3 - 13*y**3)*(16 + 1 - 4) + (-1 - 5 + 4)*(0 - 2*y**3 + 0) + 2 - 2 - 2*y**3 + 5*y**3 - 2*y**3 - 2*y**3.\nAnswer: 172*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/17, -57, 2\/15, 946 in decreasing order.\nAnswer: 946, 2\/15, 2\/17, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 20 = 2*f. Calculate the least common multiple of f and (1\/11)\/(17\/(-34)) - 444\/(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 35, 52, 71, 92, 115, 140?\n\"Answer: k**2 + 12*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.10000209 - -11.1. Round p to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeo. Give prob of sequence oo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -73, -168, -313, -514, -777, -1108, -1513?\n\"Answer: -u**3 - 16*u**2 + 4*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + -2 + sqrt(11)) + ((sqrt(11) - sqrt(22)\/sqrt(2)) + 1)**2.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859227413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 0.3 (c) -24\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 150788038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8889 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4096 = 2*i - 2*s, 4*s = 3*i + 8*s - 6172. What is the remainder when i is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020 - 10?\nAnswer: 12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 1, h: 1, r: 1, t: 5}. What is prob of sequence rd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/5, 0.11, 0.08, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {i: 1, q: 1, t: 1, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 11*w + 14. Calculate j(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 95937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326540821 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3966437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*q - 15. Let w(g) = -g**3 + 3*g - 1. Let o be w(2). Let k = o - q. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/35 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353\/6 + 59. Let p = 1034 + -1028. Which is the nearest to p? (a) -1\/2 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.034, 0.2, -5 in descending order.\nAnswer: 0.2, 0.034, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11234963.\nAnswer: 83, 223, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329869 is divided by 464.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3435531 (base 6) to base 14.\nAnswer: 48327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-960)*4*8\/6?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.8, -14, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = -2*c, 0 = -z - 3*z - c - 5. Let y be ((-9)\/12)\/(3\/(-8) - 0). Sort y, z, 1, -4 in descending order.\nAnswer: y, 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7 - 11. Suppose -5*l = 5*y - 25, -3*l + 43 = -8*y + 4*y. Calculate the highest common divisor of r and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 56 - (-4 + -1). Solve 51 = -5*a + t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3223082 take away 2.4792641?\nAnswer: -2.8015723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1381, 2772, 4163, 5554, 6945, 8336?\n\"Answer: 1391*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -57*w**2 + 207*w + 4. Calculate z(3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -251*b + 318. Let t(d) = 254*d - 319. Let n(h) = 3*t(h) + 2*v(h). Differentiate n(c) wrt c.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 4*v. Let l be (6 - 0)\/(-4 + (11 - 5)). Let g be (-1 + 2\/l)\/((-2)\/30). Calculate q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j**2*n**2 + 76*j**2 - 3*j*n**3 - 2*n wrt n.\nAnswer: 12*j**2 - 18*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.19 - 0.19. Which is the closest to 0.2? (a) 6 (b) -8 (c) -3\/8 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45491200 by -142160.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143546193.\nAnswer: 397, 2880469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 - 126. Find the common denominator of -1 + 1 + (-17)\/4 and -5 - (-3 + (-31)\/r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juu when three letters picked without replacement from uujujjuuujjuj?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183\/6 + 2\/4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/20 - q**3\/2 - 2*q**2. Let h(v) = 3*v**2 + 3. Let b(j) = -2*h(j) - 3*k(j). Differentiate b(l) with respect to l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2877234*b*m*s**3 + 8*b*m*s**2 - 325*b*s**2 + b*s - 12*m*s**2 - 2*m*s + 3*s wrt s?\nAnswer: 17263404*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001100010100100 (base 2) in base 11?\nAnswer: -49a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:15 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/1740 and -55\/2436.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, k: 5, q: 1}. What is prob of sequence zzk?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 693, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 735 divided by -5\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3301\/11, 2\/7, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164983.\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + 40ca5?\nAnswer: 40cd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24045 minus -0.01304?\nAnswer: -24044.98696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.0241, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-5)\/(12 - -173)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, q: 1, s: 4, n: 3}. Give prob of sequence nshq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-42))\/((-4)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-32))\/((-15)\/(-4500)*25).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -554.5304 to the nearest integer.\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yffzfzyycyzyyzcfff. What is prob of picking 3 z and 1 y?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 50 = 44. Suppose -u*q + 3548 = 2*a, 4*q + 0*q = -5*a + 4733. Suppose 3*j = 2*z + q, -4*j + 0*z - 2*z + 1576 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(5*i**4 - 5*i**4 + 2*i**4) - 2*i + 2*i + 6*i**4 + (-i + 0*i - i)*(i**3 - i + i) in the form k*i**3 + t*i + o*i**2 + m + q*i**4 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + 0.26. Let f = y + 0.1. Let t = -8 - -3. Which is the third biggest value? (a) 2\/3 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a - 660 = -699 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5440, 10958, 16478, 22000, 27524, 33050?\nAnswer: 38578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14720 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12 and -3490.121.\nAnswer: -3490.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let k(z) be the second derivative of z**6\/720 + z**4\/3 - 3*z. Let n(r) be the third derivative of k(r). Calculate n(i(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weeweweweewwweeewew. Give prob of picking 3 e.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653 + 1136488*u - 653 - 1136708*u.\nAnswer: -220*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:01 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1*(1\/(-10) + 0)). Suppose -2*q + o = 4. Solve p + 1 = -q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhsstshss. What is prob of sequence htst?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 0*k)*(k - 2*k + 0*k) + 2*k**2 - 2*k + 2*k - 4*k**2 - k**2 + 3*k**2 - 2*k**2 + 0*k**2 + 2*k - 3*k + 4*k**2 - 3*k**2 + k**2.\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v = -4*m - 4, -1 = -m. Let p(c) = 4*c**3 - c - 3. Let g(k) = -5 + 4 + 4*k**3 - 3*k**3. Let f(b) = v*p(b) + 6*g(b). Find x such that f(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*m - 7*m + 50 = 0, 0 = -5*c - 6*m + 80 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -19. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31061b (base 12) to base 3.\nAnswer: 1110000122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 10*d. Let l(f) = -f**2 + f. Give -6*l(y) + q(y).\nAnswer: 5*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - 2. Let b = w - -30. Suppose -y - 5*l + 19 = 0, 0*y = 3*y - 5*l + b. Let u(z) = z**2 - 3*z - 4. What is u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l*l)\/l*l\/(l\/l**(3\/4))*((l**(-1\/7)*l)\/l)\/l*(l*l**(-1\/2))\/l assuming l is positive.\nAnswer: l**(-221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4925 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3290120 and 0.73131.\nAnswer: 3290120.73131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 14*z**2 + 11*z + 72. Calculate the least common multiple of 63 and f(-8).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 22. What is the least common multiple of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 21. Let a be y(21). Let u be -3503 + -1 + a + (3 - -1). Round u to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -30 (c) 4 (d) 16 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 3314151.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529 + 2*u + 290 - u**2 + 318.\nAnswer: -u**2 + 2*u + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6*p - 6180 = -11*p, 3*p + 6164 = 5*t. List the prime factors of t.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9 + 68\/6. Let i(t) = 95*t**2 - 16*t + 12. Let z be i(x). What is z rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10919986 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5001 (base 9) to base 2\nAnswer: 111000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 4*p**2 + 5*p - 3. Let d be y(3). Let h = -62 - d. Calculate the least common multiple of 102 and h.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/151873 and 11\/99503.\nAnswer: 2885587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*s = -6, 3*f - s = 5*f + 9. Let l(r) = -12*r + 68. Let i be l(6). Put i, -2, f in descending order.\nAnswer: -2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-17)*z*z)**(-11)*z**(-17\/3)\/(z\/z**(-5)) assuming z is positive.\nAnswer: z**(-728\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 215.7 + -210.7. What is the second smallest value in -1\/2, p, 5\/16?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226937.\nAnswer: 226937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a5725 - 6?\nAnswer: -1a572b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1618000 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 - 3*-2. Let w = c + -4. Let f(v) = -v**3 + 6*v**2 - 5*v + 3. Let i be f(5). Calculate the greatest common factor of i and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 2. What is the second derivative of -115*k + 2*k**2 + 6*k**2 + n*k wrt k?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 142*t**2 - 9*t + 67. Give n(-4).\nAnswer: 2375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5 + 440996*p**4 - 24317620188*p**3 + 874907415448*p**2 - 2454505519906*p + 1603915283652 = 0?\nAnswer: 1, 2, 33, 110231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**8\/10080 - q**7\/5040 - q**6\/144 - q**5\/15 + 9*q**2. Let x(r) be the third derivative of m(r). Is x(-7) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 3. Suppose 259*r - 20*r = 96*r + 1001. Let b(j) = -j + 4 + j + 0 + j. Give r*c(i) + 5*b(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103203231 - -133?\nAnswer: -103203032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = -2*p - 3*f + 1651, 3*p - 2*f = 1714. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Suppose -39*m - 177 = -42*m. Let g(q) = 186 - 378 + m*q + 192. Calculate g(v(r)).\nAnswer: -59*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43285149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4\/7 (c) -0.1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:50 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*2*3\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + r)*(-r + 2*r - 2*r)*(-3*r**2 + 4*r**2 + 3*r**2)*(-6 - 30 + 15).\nAnswer: -168*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 - ((-1)\/(-8) - 3948\/(-672)). Let f(u) = 109*u + 8. Let g be f(4). What is the greatest common factor of g and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -100760, -100744, -100704, -100628, -100504?\n\"Answer: 2*y**3 + 2*y - 100764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26418614 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 13) in base 3?\nAnswer: -11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from vvlpcvlpvpvlv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 16520807?\nAnswer: -16520807.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -2 - 64\/(-2). Let g = -3 + p. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -72*l - 2050. Let m(n) = -n**3 + 4*n**2 + 3*n + 4. What is the remainder when t(-29) is divided by m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.8 - 47. Let f = 0.4 + u. Suppose 2*p - 4*z = -z + 6, 0 = -5*p - z - 19. Which is the second smallest value? (a) p (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 40. Let p = t + 28. Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*m = 156, 2*m = -5*l - m + 260. Calculate the remainder when l is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -26 - ((-31 - -30) + -41)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*x = 35, -2*p - 27*x = -31*x + 30. Sort p, 8, 3, -3 in decreasing order.\nAnswer: 8, 3, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:10 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71.99999386 + -72. Round o to seven decimal places.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*x + 18*f*t**2 - 101*f*x + 3*t**2*x - 11666*t*x wrt f.\nAnswer: 3*f**2*x + 18*t**2 - 101*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -0.2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559, 2582, 6989, 14626, 26339, 42974?\nAnswer: 65377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6 (b) 2\/5 (c) -0.5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 51*b = 356. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17150, -22, -1 in ascending order.\nAnswer: -22, -1, 17150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -4\/67 (c) 3\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.7 from -170.7999.\nAnswer: -186.4999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 78265 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 o(y) = 4*y. Let s(z) = 11*z**3 + z**2 - 23*z - 12. What is -7*o(v) - s(v)?\nAnswer: -11*v**3 - v**2 - 5*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20097 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(99)*-6 + sqrt(99) + sqrt(99))*1)\/(sqrt(45)\/(-2*sqrt(5)) + sqrt(36)*-1).\nAnswer: 32*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*p = -16, -5*s + 19*p - 39 = 15*p for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 0.05, -2\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*r - 6 = 0, -7*a + 5*r = -4*a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/4*(-11)\/(-1122)*17*16\/(-14)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -495 divided by 13112?\nAnswer: -45\/1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5921806468 + 0.1\nAnswer: -5921806467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2211101122001?\nAnswer: -2211101121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531629637?\nAnswer: 3, 7, 11, 167, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -74\/2905?\nAnswer: -74\/2905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343441 is divided by 13577.\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 85*g - 4. Let w(t) = -10*t**3 + 422*t + 21. Calculate 11*n(z) + 2*w(z).\nAnswer: 2*z**3 - 91*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -22. Suppose l - d + 8 = 0. Calculate the highest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674 = 4*g + 5*b, -5*b + 14 - 4 = 0. Suppose -5*h + 4*d + 109 = 0, g - 45 = 5*h - d. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 478, 3, -1553 in increasing order.\nAnswer: -1553, 3, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 83*i - 2355. What is h(29)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.420945228 to 3 decimal places.\nAnswer: 0.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, -3*n + 0 + 16 = -4*x. Which is the fourth smallest value? (a) 2 (b) 1\/2 (c) n (d) 73 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/336 + 7*i**6\/120 + i**5\/10 + 2*i**2. Factor n(q).\nAnswer: -q**2*(q - 3)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3 + 4*h**2 + 0*h**3 + 3*h - h**3 - 3*h**2 + 2*h**2. Let n be j(4). Let b(q) = -3*q**3. What is b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 3*t - 40, -2*t = -4*q + 32. Solve 0 = -5*r + 4*n + 2, 4*r + 3*n = q*n - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -480 - -477.47. Let t = 2.52753 + y. What is t rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 + 19*i**4 - 265*i**3 - 4063*i**2 + 15120*i + 44100 = 0.\nAnswer: -21, -15, -2, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllllllllllllp. Give prob of picking 1 p and 1 l.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 8*o**2 + 15*o + 78. Let y be v(-9). Solve -5*c = -5*u, y = -u - 2*c + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -163 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3660 and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:36 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1135 (base 9) to base 5\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1072 and -11174.82245.\nAnswer: -12246.82245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -25. What is the nearest to 0.1 in 0.4, 1\/2, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1851)\/(-2)*(-8 + 946\/33)?\nAnswer: 31, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 40*p + 1. Let j(r) = 2*r**2 + 2*r + 73227. Determine c(j(t)).\nAnswer: 80*t**2 + 80*t + 2929081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*l - 2*h, 5*h - 76 = -4*l + 8. Let m be 3 - (2\/6 + l\/(-9)). Suppose -g + 16 = -5*g. Which is the biggest value? (a) -2\/13 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 3*w - 2*w + 0*w)*(3*w - w - 4*w - 5)*(-w - 11*w + 2*w) to y*w**3 + r*w**2 + m + s*w**4 + l*w and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392196, 392197, 392198, 392199?\nAnswer: 392200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7654 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -32*o - 5. Let h(d) = -5*d. Let y(t) = -13*h(t) + 2*x(t). What is y(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 16.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 9*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14 + (-2 - 240\/(-56)))*(-121)\/(-8349)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7947, -14, 836 in ascending order.\nAnswer: -14, 836, 7947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (75 + -1)*(-1)\/2. Let c = i + 89. Let w be 9\/(-15) + c\/20. Solve 4*k - w - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 8*l - 9. Suppose -8 = 2*r + 2*h, 4*r - 3*h = 15 - 45. Let j be f(r). Let u(n) = n**3 - 3*n**2 + 3*n + 3. Calculate u(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, j: 3, y: 6, r: 3, a: 1}. Give prob of picking 1 y and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 462608, 462713, 462928, 463307, 463904, 464773, 465968, 467543?\n\"Answer: 9*h**3 + h**2 + 39*h + 462559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2736556.\nAnswer: 2, 29, 31, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104889 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11943 (b) 0.2 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 249, 295, 341?\n\"Answer: 46*u + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 12:14 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**3 + 1. Let m = -5 + 8. Let d(l) = l**3 - 3*l**3 + 1 - 2*l**m. Let a(n) = 5*d(n) - 3*h(n). Find the first derivative of a(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = -4*f + 14, 5*f = 5*r + 10. Let c(o) = -14*o - 22. Let h(z) = 2*z + 3. What is f*c(j) + 44*h(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -8\/316135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p - 502 = -2*v, -v - 1261 = -5*p. Suppose 438 = 3*w + 3*j, -176 - p = -3*w + 2*j. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 45*a**2 - 4*a + 5. Let d(o) = -68*o**2 + 6*o - 8. What is 5*d(j) + 8*u(j)?\nAnswer: 20*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 3. Let o(k) = -2*k - 6. Let s(u) = 3*u + 8. Let r(y) = -4*o(y) - 3*s(y). Determine r(m(l)).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -207*n + 211*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*d**2*g**2 + 6*d**2*v**3 + 38*d*g**2*v**3 - d*v**3 - g**2*v + 58*g - 3*v**3 wrt g.\nAnswer: 190*d**2 + 76*d*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8729 - -8735. Solve -w - 3*l - b = 0, 7*l - 7 = 4*w + 2*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-21)*((-1)\/11)\/((-82)\/820).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-8) - 22\/(-4). Suppose b*f - 305 = 3*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842033 is divided by 122.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + sqrt(50)\/(sqrt(20)\/sqrt(2))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 757 - 20. What are the prime factors of z?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007941 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/72732 and -82\/1683?\nAnswer: 3709332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21775, -37555, -53335?\n\"Answer: -15780*f - 5995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006401868913 to five decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12606 (base 7) in base 3?\nAnswer: -11122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 3. Let s be f(4). Let i(h) = h**3 - 6*h**2 - 3*h - 6. Let o(c) = c**3 - 6*c**2 - 2*c - 7. Let z(t) = s*i(t) - 4*o(t). Give z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 200, 2\/3, 1, -0.6, 2?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 26. Let w(h) = -294*h + 3 - 3 + 599*h - 295*h. What is o(w(q))?\nAnswer: 20*q - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -370 - -535. Suppose 3*b - 252 = -3*g, -6*b = 2*g - b - m. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 121 = 5*n - 84, 0 = -n - 3*j + 41. Suppose -2*m + 3*m = n. Suppose w = g - 8, -3*g + m = 5*w + 9. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 1 z when three letters picked without replacement from lcdzkqqclkqk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/31)\/(-2)*(-7776)\/13608.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 2 - 2 + (0 - 2 - 6)*((s**2 - 4*s + 4*s)*(1 - 4 + 2) - s**2 + s**2 + 2*s**2).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + sqrt(76)) + -1 - (sqrt(190)\/(sqrt(20)\/sqrt(2)) + (-2*sqrt(114))\/sqrt(6)).\nAnswer: -14*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(252) - (1 + sqrt(252))**2) - ((-5*sqrt(315) - sqrt(315)) + sqrt(35))\/sqrt(5).\nAnswer: -254 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462307719?\nAnswer: 3, 229, 672937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/13 and 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 880477392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27266489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 7*f**3\/6 - f**2 + 8557*f. Let w(k) = -13*k + 4. Give -5*i(u) - 2*w(u).\nAnswer: -9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(36)\/sqrt(2)*-4)\/(sqrt(30)\/(sqrt(5) - (sqrt(320)*-2 - sqrt(320) - sqrt(5)))))**2.\nAnswer: 292032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 26. Which is the nearest to 2\/3? (a) -0.2 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199842 >= -4796243\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 79002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*w + 46, v + 0*w - 18 = -3*w. What is the remainder when v is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -288, -378, -528, -738, -1008, -1338?\n\"Answer: -30*d**2 - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/5 + 4*k**4\/5 + 6*k**3\/5 - 16*k**2\/5 + 8*k\/5 = 0. Calculate k.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2440 - 10204?\nAnswer: -13144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*p + 78 = -249*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -9, 11113 in ascending order.\nAnswer: -56, -9, 11113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 0 + 0)*(-3*x**2 + 3*x - 2*x - 9*x**2) to l + g*x**2 + b*x + c*x**3 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:24 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(187) + 1*sqrt(187))\/sqrt(11) + (sqrt(187) + (sqrt(187) - sqrt(187)*3))\/sqrt(11)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 40. Suppose 3*i - s*i = -20. Factor 0*g + 1\/4*g**3 + 0 - 1\/4*g**i + 1\/2*g**2.\nAnswer: -g**2*(g - 2)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000100 (base 2) to base 8.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4281611484*f**3 - 2140805743*f**3 - 2140805740*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 1940 = 63*q. What is the lowest common multiple of 1960 and q?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 156*f**3 + 180*f**2 + 24. Let g(n) = -n**2 + 2. Let b(k) = d(k) - 12*g(k). What is the third derivative of b(a) wrt a?\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -38. Solve -5*o + 12 = -13, 0 = s - z*o + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 2*c**2 + 4*c**2. Let a(f) = f**3 - 11*f**2 + 2. Let m be a(11). Let y(v) = -m*v**2 + 6*v**2 - 4*v + 4*v. Determine o(y(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*-6*6*(2*sqrt(1539)*6 + 4)**2*-3.\nAnswer: -239362560 - 933120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36177578?\nAnswer: 2, 18088789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5539552 and 101\/18.\nAnswer: 49855968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17606, -17635, -17664, -17693, -17722?\nAnswer: -17751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 - 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -695 - -693. Put r, -1.9, -0.01 in descending order.\nAnswer: -0.01, -1.9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 184*s - 22475. Calculate x(-84).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12544, -100312, -338508, -802336, -1567000, -2707704?\nAnswer: -4299652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/9 and 7\/123.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*4*(-1)\/(-16). Is u > 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11506 + -57864\/5. Let m = -326\/5 - g. Determine u so that -m*u**2 - 8\/5*u**3 - 2\/5*u**4 + 0 + 0*u = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 1 - 2 + 10 - z - 3. Let d be a(-3). Solve 4*c + c - n + 12 = 0, d = c + 3*n - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -121 + 1. Suppose 14*z = -62*z + 304. Solve -d + 4*d - 14 = 2*f, 4*d - p = z*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q + 5 = -g, 4*q - 10 = 2*g. Which is the third smallest value? (a) g (b) 2 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -491 - -548.2. Let p = 57 - m. Which is the nearest to -1\/4? (a) p (b) -3 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-28)\/(-294))*(-360)\/70?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1625 + -1529. Calculate the least common multiple of q and 1992.\nAnswer: 7968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (11 - (-6 - -22))) + 14 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*q**2 - 3)*(-8 - 5 + 5).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2))**(-8)\/(f**(-1)*f*f*f**9) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13050 (base 6) in base 5?\nAnswer: 30344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 23*u + 30. Let s(x) = -207*x - 276. Let m(n) = 46*a(n) + 5*s(n). Let o(h) = 20*h**2 + 1. Determine m(o(i)).\nAnswer: 460*i**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*((sqrt(162) + 0 + 4 - sqrt(162))**2 - sqrt(162)).\nAnswer: -36*sqrt(2) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822266 is divided by 30452?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401374 (base 15) to base 6.\nAnswer: -145105431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 0.1, -4, -5\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*v - 22, -2*b + 1 = -3*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4\/3 + 36*r**3 + 700*r**2\/3 - 36*r - 704\/3 = 0.\nAnswer: -16, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = 16*c + 315 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 26 + -39\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(13) + (sqrt(325) + 3)**2) + 6*-5*(2 + sqrt(13)).\nAnswer: 125*sqrt(13) + 1605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 - 247105*v**3 + 123512*v**3 + 123592*v**3 - 7*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -54\/1751 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-1\/5))**(-1\/74) assuming s is positive.\nAnswer: s**(1\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggl when four letters picked without replacement from kggxlggglxgg?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 0. Solve -15 = -3*u - x*u, -4*y - u + 13 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290439 and 4332312.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -31d931?\nAnswer: 31d92b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*x = 6, -2*x - 15 = g + 3*x. Let r be (6*((-4)\/6 + g))\/(-2). Suppose -3*s + 2041 = 2*s - m, r*s - 814 = m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -z - 2229, p = -5*z - 5691 - 5496. Suppose 7*d = 2*d - 4*v + 7901, 0 = d - 4*v - 1561. Let b = d + z. What is b rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3893.539 milligrams?\nAnswer: 3893539000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 - 3*p**2)*(154*p**2 + 2*p**3 - 3 - 154*p**2).\nAnswer: -4*p**5 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -816000 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 78623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31931 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a - 47. Let z be h(8). Put -2\/7, z, 0 in descending order.\nAnswer: z, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6063133*r**2 - 14145678*r wrt r.\nAnswer: 12126266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0823*29.5.\nAnswer: -2.42785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**8\/168 - g**7\/105 + g**6\/60 + g**5\/30 + 15*g**2\/2 + 13*g. Let n(u) be the first derivative of t(u). Factor n(v).\nAnswer: -2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/9769?\nAnswer: -2\/9769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0*o + 2*o)*(-4 + 6 - 15).\nAnswer: -26*o + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**6\/24 + 5*q**4\/24 + q**2 - 4. Let z(l) be the second derivative of m(l). What is the second derivative of z(c) wrt c?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o - 28 = -41*o. Round o to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 + 64 = -2*y. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 + d1c9?\nAnswer: d198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 - 13*o**3 + 3*o**2 + 16*o - 4 = 0. Calculate o.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 11*f + 8. Let a be r(11). Suppose -a + 4 = -2*n. Put 4, 5, n in descending order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 72\/(-5)*(-960)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865711.\nAnswer: 1865711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-10 + (11 - 17) - -2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69439 + 69471. Let c(m) be the first derivative of m**4\/4 - 2*m**3 + 7*m**2\/2 - 7*m - 1. Let f be c(5). Solve x + 8 = f*r - 0, -5*x = 3*r - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108364500 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 780264480 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**8\/1512 + d**7\/945 - d**6\/270 - 25*d**2\/2 - 35. Let t(v) be the second derivative of w(v). Factor t(y).\nAnswer: 2*y**3*(y - 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(264) + (sqrt(264) + 1*sqrt(264) - sqrt(264))) - sqrt(264))\/sqrt(11))\/(-2*sqrt(48)\/sqrt(4)*-5).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/110 and 21\/8042?\nAnswer: 442310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*v + 6 - 53, 11 = v + b. Let w(m) = m + 28. What is the remainder when w(v) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1187889 - -1187891. Suppose 5\/6*r**x - 35\/3*r + 245\/6 = 0. Calculate r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (-1 - -8) - 2) + 0 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q**3 + 2*q**2 - 3*q + 1. Let h be m(1). Suppose -15*o + h = -10*o. Let u(l) = o + 5*l - 3 - 4*l. What is u(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4363 or -5696?\nAnswer: -4363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 6. Let h(a) = 0 - 1 + 1 + a + 2 + 3. Calculate 6*h(f) - 5*t(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.011? (a) 17\/794 (b) 2\/7 (c) -7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 60 = 5*b. Find h, given that 61*h - 4*h**3 - b*h**4 - 61*h = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.143 + -0.143. Which is the nearest to 0.1? (a) 7 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-3) - (0 + 1). Factor -37*t**3 - 5*t**2 - 43*t**3 + 2*t**2 + 3 + 81*t**r - t.\nAnswer: (t - 3)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 4*s**2 - 8*s + 6. Let c(w) = w**3 + 18*w**2 + w + 19. Let q(n) = 1. Let h(a) = c(a) + 5*q(a). Let l be h(-18). Suppose 1 = -x + l. Give d(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 23*z - 23324 = -23772 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let r(b) = -b - 5. Let f(j) = 7 + 10 + 0*j - 11 + j. Let k(t) = -5*f(t) - 6*r(t). Give k(l(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - (-11 - -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 676 - 237. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1016555 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 y when three letters picked without replacement from fyuydfynddddafd.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-3 + 3 - 0). Suppose g*j + 198 = -2*y + 4*y, -2*j - 203 = -3*y. Round j to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2*u**3\/3 + 20*u**2 + 138*u - 227. Solve v(z) = 0 for z.\nAnswer: -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 3, l: 1, e: 2, x: 2, t: 9}. What is prob of picking 1 t, 1 x, and 1 n?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 d when four letters picked without replacement from {d: 2, j: 3, i: 7}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmmwom. Give prob of picking 1 m, 1 o, and 2 w.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {r: 1, v: 1, t: 2, c: 1, o: 3, y: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2559 (c) 3.2 (d) -3\/16 (e) 0 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15)\/((-64)\/80)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdadprosdaas. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 1. Let m be b(3). Suppose 0 = 2*z + 5*c - 7, -m*z = -3*z + 2*c + 17. Solve 3*n = -4*x - 0*x - z, 2*n + 15 = 5*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1)\/((-16)\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z - 9*z)*(-z**3 - 3*z**3 + 6*z**3) + (0*z**3 + z**3 - 2*z**3)*(3 - 3 - z).\nAnswer: -21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*o - 11, -31*n = 3*o - 32*n - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1276992, 1276995, 1276998, 1277001, 1277004, 1277007?\n\"Answer: 3*n + 1276989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o + 2*o)*(2 - 3*o - 2) - 4*o**2 + 6*o**2 - 3*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**4 + 126*u**3 + 2*u**2 - 41*u - 2.\nAnswer: -48*u**2 + 756*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001523008 rounded to 7 dps?\nAnswer: 0.0001523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 430.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7368, -7333, -7296, -7257?\nAnswer: -7216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627 + 564 - 2677 = 137*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319.3 - 4.755.\nAnswer: -324.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -210 + -6 + 3 - (3 - 6). Does -211 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6322\/174 - (60\/40 - 26\/12)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 54351053 (base 6) to base 15\nAnswer: 21ddc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100001 - -11000?\nAnswer: -1001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 1209 = 2*i, b - 5*b - 3014 = -5*i. Suppose -2177 = -7*y - i. Is y a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/16 of a hour?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413877?\nAnswer: 3, 19, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 11*i = 4. Let q(b) = 2*b**i - 25 + 27 - 10*b + b. Give q(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62425)\/(-681))\/((-325)\/(-26)*3\/45).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (108\/(-16))\/9*-4. Suppose 4*c = -l*f + 8691, -4*f - c = -f - 8691. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 230.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 275 and 5975?\nAnswer: 65725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0*y + 9*y**2 + 0*y**4 + 1\/30*y**6 + 0 + 0*y**5 - 7\/6*y**3. Differentiate d(x) with respect to x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23422009*-13\nAnswer: -304486117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-325)\/325*(1 + 13)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1383 and 63\/2.\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 12 - (-1260)\/(-110). Which is bigger: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2973.625 rounded to the nearest 10?\nAnswer: -2970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.561424\nAnswer: 0.561424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(5\/3)*(s**3*s)\/s*((s*s\/s**4)\/s)\/s*s*s assuming s is positive.\nAnswer: s**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 8 = 44. Solve 0 = -k*p + 11*p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.34 - -1.38. What is the smallest value in 0.5, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4) + 27\/(-6) + 0. Sort -2, p, 4, -31.\nAnswer: -31, p, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 169*k**7\/525 - 221*k**6\/150 - 283*k**5\/150 + 14*k**4\/3 - 16*k**3\/5 + 4729*k**2. What is o in z(o) = 0?\nAnswer: -1, 4\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Let o be (-2 - 2\/(-1))\/(-1). Let x(i) = i**3 - 22*i**2 + 27*i - 127. Let q be x(21). Sort o, q, l in decreasing order.\nAnswer: l, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:52 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -3*g**5\/8 + 23*g**4\/8 - 27*g**3\/4 + 27*g**2\/4 + 378*g. Solve j(x) = 0 for x.\nAnswer: 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/88*14\/1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56434, 56427, 56408, 56371, 56310, 56219, 56092, 55923?\nAnswer: 55706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242317 is divided by 14640?\nAnswer: 8077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.5, 17, 6687 in ascending order.\nAnswer: -0.5, -0.2, 17, 6687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) -44.56 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2981749207 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(3\/20)*f))\/(f*f**(-1\/8)))**(-38) assuming f is positive.\nAnswer: f**(779\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4557 or -4554?\nAnswer: -4554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 29*q + 45. Let a be 108\/q + (-1)\/5 + 0. Solve 0 = 5*u - l + 12, 3*l + 17 = -5*u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/151843 and -8\/4311.\nAnswer: 1366587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 7, p: 1, n: 2, q: 9, y: 1}.\nAnswer: 63\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -2, 0.3, -161.611?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2*o**2 - 2*o + 1. Let n be c(1). Suppose 0 = -3*a + 7*a + 5*i - 32, -i + 4 = n. Suppose -a*g + 9 + 24 = 0. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 14750793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 74 - 453 + 136 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 174 = -0*t. Let v be 1\/5 - t\/(-10). Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 2 + 3 - 2*b. Let v(m) = 2*m + 2. Let s(l) = -3*p(l) + 3*v(l). What are the prime factors of s(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0604 + 0.22.\nAnswer: 0.2804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5572 (base 8) in base 6?\nAnswer: 21334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2101 = 5*h, 0 = -4*z + 1 + 7. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5\/2, 0.4, 263, 6958, 2, 4 in decreasing order.\nAnswer: 6958, 263, 4, 2, 1, 0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 632?\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcczcczccc. Give prob of sequence cc.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.8. Let f = d - 0.7. Which is the second smallest value? (a) 3 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33665.6m to nanometers.\nAnswer: 33665600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174459?\nAnswer: 3, 58153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 658, 2, 5, 0.3, 1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9) + (-506)\/(-90). Let j = -50\/9 + l. Put -9, j, 4 in decreasing order.\nAnswer: 4, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - 1195?\nAnswer: -1194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233100 (base 5) to base 10.\nAnswer: -24150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -2 + (4 - -6). Suppose 2*f + 2 + z = 0. Let g be (4 - (-104)\/(-24)) + (-17)\/3. Put f, -1, g, 5 in decreasing order.\nAnswer: 5, -1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 + 2*u - 2. Let i(n) = 5*n**2 - n + 1. Let k(t) = -7*i(t) - 4*l(t). Determine k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let j(m) = -3*m + 2*m**2 + m + 3 + m - 2. Suppose 3*b - 4 = -1. What is b*l(t) - j(t)?\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1473 - -1468\/7365. Which is bigger: 11.28 or x?\nAnswer: 11.28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 1190*c - 71 = -1189*c, 14*c = -2*v - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*l - 88*l = -270*l + 4060260. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from trhtrrtttrt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161628 (base 11) to base 16.\nAnswer: 3d468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from nmmnccccnckmccmcmc?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 23*m + 5*t = 5625, 5*m = 4*t + 6980. Calculate the lowest common multiple of m and 22.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {t: 3, x: 3, c: 4, q: 1, y: 7}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32295, 44910, 57525?\n\"Answer: 12615*h + 19680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 0.5 (b) 2\/27 (c) 4 (d) 2296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -296, -290, -284, -278, -272, -266?\n\"Answer: 6*s - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -435\/7654456?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44242)\/(-154847)*1*14\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 361 = -5*q, 4*q - 5*b = 256. Let r = 83 - q. Suppose 15*f - 43 = r*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 22. Let p(k) be the first derivative of -3\/7*k**4 + 8\/21*k**3 + 0*k + 8\/35*k**5 - 1\/21*k**6 - 1 - 1\/7*k**f. Factor p(g).\nAnswer: -2*g*(g - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -284 - -282.17. Let j = -0.17 + v. Suppose -3*l - 12 = -4*l - 5*k, 4*k = 12. Sort -1, l, j in increasing order.\nAnswer: l, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 737 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2. Let z(o) = 1223330*o. Determine z(r(l)).\nAnswer: -2446660*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 676*r**3 + 655*r**3 - 1308*r**3 + 14*r**2 + (-4*r**3 + 2*r**3 + 0*r**3)*(3 + 2 - 7).\nAnswer: 27*r**3 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115901 is divided by 316.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.4 take away -33?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -420034.\nAnswer: 1\/210017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 9628*n + 4819*n - 11 = -4813*n + 9, 0 = 3*g + n - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -325 - 4?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*d - 47*d - 76*d**2 + (4 + 1 - 1)*(2*d**2 + 0*d**2 + d**2).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 - (-38 + 42) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1114441442 (base 5) to base 10\nAnswer: -2499622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200211 + -100101?\nAnswer: 11100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 20*u - u**2 - 5*u**2.\nAnswer: -2*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 + 100. What is the closest to 14 in 4, 0.1, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -172*a - 500. Calculate the lowest common multiple of 436 and m(-3).\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:43 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -4*k + 2*k - 2*v, -4*k + 4*v - 148 = 0. Let d be (2\/10)\/((-28)\/k). What is the nearest to d in 4, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 22. Let o be m(5). Suppose -o*d + 32*d + 525 = 0. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -15. Let s(p) = 5 + 5 - 4*p + 6 - 15. Let v(z) = 6*z - 2. Let u(d) = 3*d - 4. Let r be u(3). What is r*v(f) + w*s(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2 + 44710*d*n*q**2 - 5*d*n + 35338*n*q**2 - 2*n*q + 4*q**2 - 14*q wrt d?\nAnswer: 2*d + 44710*n*q**2 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 19943*b - 159547. Give d(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + 17 + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 - (-63)\/6. Let n = u - 265\/22. Which is bigger: 1\/13 or n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1 - 8*t + 9*t - t**3 + 1. Give m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, e: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.9 - 74.1. Let x = 85.136 + i. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2832005 less than or equal to 2832005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 11:23 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l = -18*l - 8. Suppose 0 = -2*h + t - 5*t + 148, l*t - 370 = -5*h. Suppose 4*x - h = -38. Solve x*b = 4*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 18, 4, -1.\nAnswer: -14, -1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 8067 - 17651 = 0. Calculate the highest common factor of 668 and s.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36251216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638104801 to the power of 1\/2, to the nearest integer?\nAnswer: 40474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.557 and 17656.2421.\nAnswer: 17656.7991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100122 + 10212?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30496 and 41208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89068 and 229032?\nAnswer: 1603224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885439 is divided by 2460?\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 293391 (base 10) to base 7\nAnswer: 2331240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224 - 217. Let j = -7.4 + n. Which is the nearest to -2\/13? (a) 2\/17 (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*m + 2*h + 182, -5*h - 215 = -5*m. Suppose -5*u + 10*u - 20 = 0. Suppose 2*o + u - 194 = 0. Calculate the greatest common factor of o and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*u + 9*u - 13*u)*(-1 - 1 + 0)*(u**3 + 0*u - 3*u + 2*u).\nAnswer: 98*u**4 - 98*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/2 of a litre?\nAnswer: 26500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6946 = -6*c + 4*c. Suppose c = -4*z + 881. Let s = 1751 + z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21)\/126*117\/(-20) and 1\/(0 - (-120)\/(-172)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17558707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*r)*(-3 + 0 + 1) - 1 + 1 + 10*r + (5 - 2 - 5)*(31*r + 193 - 193) in the form j + v*r and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.03 (b) -1822 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114183218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24471\/8 + -3059. Sort o, 7, -5, 0.5 in increasing order.\nAnswer: -5, o, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 24, -5 in ascending order.\nAnswer: -16, -5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/855820 and 89\/1050.\nAnswer: 12837300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -503*y**2 - 94*y. Let b(t) = 1007*t**2 + 178*t - 1. Let h(p) = -2*b(p) - 5*n(p). Find the second derivative of h(r) wrt r.\nAnswer: 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b**2 - 19. Let q(l) = -11*l**2 - 9. Let j(o) = 13*q(o) - 6*w(o). Let x(p) = -175 - 170 - 165 + 40*p**2 + 535. What is -25*j(m) - 3*x(m)?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(162)\/sqrt(3))\/(sqrt(24)\/(-1*sqrt(12))).\nAnswer: -3*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87031 is divided by 362.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 12*k - 58. Solve 3*f - k = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3313998 to the nearest ten thousand.\nAnswer: -3310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3d2f05 (base 16) to base 2\nAnswer: 1111010010111100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25755 or -25758?\nAnswer: -25758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/1493 and 25\/6.\nAnswer: 8958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:32 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 5, q: 9, n: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017148858 to five dps.\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12351, -24716, -37081?\n\"Answer: -12365*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = 52. Suppose -4*f + m = -f. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14874 and 11745502.\nAnswer: 35236506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 496*o - 483*o - 260. Suppose -2*a - 2*i + 20 = 0, 5 = -4*a + 5*i - 0*i. Calculate the greatest common factor of a and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1 - 3*z + 1. Let x(o) = -o. Let n(c) = c**2 + 15*c + 47. Let m be n(-9). Calculate m*x(b) + 2*k(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 392 - 670. Let y = -551 + 116. Let x = b - y. Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 136. Let u be v(0). Is (-17202)\/(-8) - (-170)\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0835723 from 59398606.\nAnswer: 59398606.0835723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(-5 + 18 + 11)*((0 + 0 - 1)*(0*b - b**2 + 0*b) - 8*b**2 + 52*b**2 - 4*b**2) to y*b + x + a*b**2 and give a.\nAnswer: -2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -1043, -2028, -3027, -4040?\nAnswer: -5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369101.\nAnswer: 83, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -22 - (4 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 55*l = 18*l + 66. Let k(m) be the first derivative of -3 - 5\/2*m**2 - 3*m. Calculate k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*42\/126\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1350693 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2\/7 + 1257*s\/7 - 3582 = 0.\nAnswer: 21, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/198 and -139\/1939630.\nAnswer: 17456670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 3, -1, 72, 85 in ascending order.\nAnswer: -1, 3, 30, 72, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 2)*(-2*g**2 + 5*g**2 - 4*g**2) + (-1 + 0 + 0)*(-83 - 133*g + 83 + (g + 0 + 0)*(-5 + 3 + 1))*(2*g - 2*g - 2*g).\nAnswer: -265*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283 by -47.\nAnswer: 283\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. Suppose 2*n + 0*n - 26 = -5*w, -5*w + 80 = 5*n. What is the least common multiple of n and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5975*i - 263*i + 1064*i.\nAnswer: -5174*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 5283784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f + 66. What is a(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1156*-0.3\nAnswer: 346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.5025kg in milligrams?\nAnswer: 725502500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 95. Suppose -4*x + 26 = 2*u, -x + 4*u = 3*x + 4. Let a(s) = 3 - x*s - 7 + 2*s. Give a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 12*c**2 - 3*c + 67. Let q(f) = -2*f**3 - 23*f**2 - 7*f + 145. Let v(o) = -4*q(o) + 9*s(o). Let u be -2 + -5*3 + 1. Calculate v(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 454 = 559 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -43. Let v be 1348\/l + 1\/(-3). What is the remainder when 81 is divided by ((-33)\/22)\/((-6)\/v)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 4*z**2 - 22 + 2*z**3 + 2*z - 5*z**2 as a*z**2 + u*z**3 + l + v*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + (26 - 18) - 2) + -33?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 691.558 + 0.039768605.\nAnswer: 691.597768605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0 (c) 65124 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 586965270 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide (5 + 12376 - (-2 + 7)) + 0\/(-53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 789406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*j + 834 + 409 = 0, 0 = -u + 3*j + 292. Let v = 2147\/7 - u. Let t be 2\/(-7) - 6\/28. Which is the closest to t? (a) v (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.58 + -1.581. Let k = 5.189 - h. What is k rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*u - 32*u + 612 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4496 and 107\/32436.\nAnswer: 36458064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 19*j**3 + 11*j**2 + 11*j - 66. Let q(o) = -7*o**3 - 4*o**2 - 4*o + 23. Calculate -4*i(z) - 11*q(z).\nAnswer: z**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 6. Let c be i(2). Suppose -5*r - 4*a = -370 - c, 0 = -2*r + 3*a + 169. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8967506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -425*f**3*t**3 - f**3*t**2 + 2*f**3 - 10088*t wrt t?\nAnswer: -2550*f**3*t - 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 8 + 12. What is the smallest value in f, -5, -1\/3, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 8*g - 11. Let k be (-4 + 4)\/2 + 0 + -11. Let v be u(k). What is the greatest common divisor of 77 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*m. Suppose 3*t = -t - 2*r + 42, -r = 4*t - 41. Solve 0 = g + 2*i - 2, -5*g + m - t = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:48 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9535757kg?\nAnswer: 953575.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1788204 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 64*b**2 + 5*b - 44. Calculate the remainder when w(-3) is divided by 39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -563 or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 18*o**3 - o**2 - o + 2. Let t be y(1). Calculate the highest common divisor of 234 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 45 = 15. Suppose -7*k - 4*a + 8 = -3*k, p = 3*k - 5*a. Factor 7 - 7 + 4*w**4 + 4*w - 4*w**3 - 6*w**4 + k*w**2.\nAnswer: -2*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q. Suppose 4*o - 2*n - 34 = q, 27 = -4*o - 5*n + 82. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 2 w when four letters picked without replacement from orxwoxwf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5121 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 26*u + 100. Determine p(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328 by -2.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (38\/(-7) - -1) + 6\/14. Let x = 2 - z. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 4, -0.05, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*h = -18, -5*h + 22 = s - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 28 = -2*g. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-996)\/(-2739)*(-6)\/8.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 19*g**2 - 24*g + 34. What is the tens digit of u(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -127 + 37 - -17?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/52 - (-2 - -3). Let h(o) = o + 2. Let g be h(-1). Is b at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, -0.2, 0.1, -10 in descending order.\nAnswer: 0.1, 1\/17, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 4*o + 22. What is g(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56325431831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 121 = 7*q. Let y = -10 - -16. Solve q = -y*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -10. Let m = 0.2 + -0.4. Is m less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*u - j, -5*j = u + 10 - 38. Find the second derivative of -33*y**3 + 28 - 17*y - 25 - 32*y**u wrt y.\nAnswer: -390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2 and 7\/15*1*198\/24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 - c + 0*c**4 + 2*c**2 + 4*c**4 + 0*c**2 - 6*c**4 to z*c**3 + o*c + f*c**4 + x*c**2 + u and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1431, -2872, -4337, -5826, -7339, -8876, -10437?\nAnswer: -12022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -4, 4, -146, 1, -11 in descending order.\nAnswer: 4, 1, -4, -11, -37, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008135 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*j + 518*j = -8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/280 - 89*q**5\/140 + 43*q**4\/7 - 170*q**3\/7 - 697*q**2. Factor b(j).\nAnswer: 3*(j - 85)*(j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2005, 4020, 6035?\nAnswer: 8050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 22. Let v be w(-29). Suppose 4*a = -v*a + 66. What is the highest common factor of 14 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10) + (-246)\/(-30). Suppose i - 5 = c. Solve w + 4*y + 9 = y, 3 = c*w - y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19606500 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -225.024509 to zero dps.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 = -1. Suppose -k*s + 8 + 8 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*w + 8271 = 74391. What is the highest common factor of 116 and w?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11 + 12 + 10667*a - 10728*a. Let z(n) = -6*n. Give v(z(h)).\nAnswer: 366*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(-8))*g**7*(g*g\/(g**(2\/3)*g))**(-23) assuming g is positive.\nAnswer: g**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10203 + -33?\nAnswer: -10236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*v + 15902 - 1107 = -7101 + 728 for v.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2685)\/358)\/(105\/(-12))*(-7)\/(-26).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -249?\nAnswer: 124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from nsjosynjonsjfjn?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2257\/(-3) + -5. Let i be 1535\/(-2) - 2\/(-4). Let q = k - i. Are 11 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1354\/10 + ((-126)\/15 - 270\/(-30)). What is the greatest common divisor of 119 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:27 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4 and -52\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36744*m*t**2 + 29*m*t + 3*m - 2*t wrt t?\nAnswer: -73488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2. Let n(g) = 60*g**2 + 6*g - 17. Let y(z) = 10*z**2 + z - 3. Let w(a) = -6*n(a) + 34*y(a). Give t(w(b)).\nAnswer: -800*b**4 - 160*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c - 65 = 199*c - 951 - 960 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31946?\nAnswer: 2, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*b - 125 = 0, -z + 2*b + 0*b + 28 = 0. Let i = 50 - z. Suppose j + 18 = 2*r + 4*j, 5*r - j = i. Solve u = 3*p + 7 + r, 2*p - 2*u = -10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37099513 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16015447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/23547800 and -139\/50280.\nAnswer: 70643400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 + 0 - (-3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {n: 4, w: 7, m: 3, h: 3, z: 1}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 2*c + 2. Let u(m) = -m**2 + 7*m - 10. Let v be u(3). What is k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2442442 + 14?\nAnswer: 2442500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12.8 times 0.5\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.8 (b) 0.2 (c) 2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.236 - -57. Let q = -0.136 - c. Is -0.17 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105186\/(-18650)*85\/51.\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 56*r**2 - 57*r + 107. Let m be s(55). Which is the closest to -2\/5? (a) 16 (b) m (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 49*j**2 + 510*j + 16612. What is y(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**4 + g**3 - g**2 + 1. Let s(c) = -60*c**4 - 13 - 15*c - 110*c**3 - 98*c**2 + 10 + 4 - 17*c. Let k(u) = -s(u) + 5*t(u). Factor k(y).\nAnswer: (y + 1)*(2*y + 1)*(5*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.785 and -0.11?\nAnswer: -0.19635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32648, -65298, -97950, -130598, -163236, -195858?\nAnswer: -228458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4192755.\nAnswer: 3, 5, 7, 73, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + -113 - (4 + 20 + -3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*a + 105277 - 25582 = -337*a - 252*a for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 20. Let w(k) = i*k + k - k - 4*k - 5. Determine w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 617*z + 474. Is t(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7.1. Let d = -26 - -13. Let k = d - -11. Which is the third smallest value? (a) k (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 4*m**3 + 0*m**2 + 2*m**2 + 3 as u + y*m**3 + v*m + p*m**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 652.\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 16) to base 3.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63769 - 36669. Let s = j - 459. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (141\/1598)\/(6\/(-32)). Which is the third smallest value? (a) 0.05 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 150?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o - 28 = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 36999*m**3 - 152065872*m**2 - 208127268096*m + 625751396352.\nAnswer: -3*(m - 3)*(m + 4112)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -5a?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**2*r**2 + 4*i**2 - 113*i*r**2 + 2 wrt r.\nAnswer: 6*i**2*r - 226*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:58 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(4\/9)*l*l**(3\/5)*l*(l\/(l**(-11)\/l))\/(l**(-13)*l))**(-47) assuming l is positive.\nAnswer: l**(-61429\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -11, 8, 4, 2 in decreasing order.\nAnswer: 8, 4, 2, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3 - -4)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-512)\/4480)\/((-12)\/(-14))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-45)*((-8)\/(-10) - 18\/36)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*q - q + 11, 4*n + 2*q = 24. Solve n = 2*u - 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(1 + 7)*(-1 - -150)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8127 - 16*h + 8127.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1) - 168\/24) + (-3658)\/(-558).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -49*v**2 + 1. Let d(l) = -29*l**2 - 6*l. Let b(o) = -19*o**2 - 4*o. Let j(g) = 3*b(g) - 2*d(g). Determine u(j(a)).\nAnswer: -49*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58230*c - 58093*c + 1233 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 137 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -3. Let g(c) = -c**2 + 12*c - 22. Let d be g(f). Suppose 0 = -9*o + 4*o - d. Let i(x) = -5*x**2 - 2*x - 1. Calculate i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/3 - 50702*u**3\/3 - 142804998*u**2 - 402091227630*u + 804753810468.\nAnswer: -2*(u - 2)*(u + 8451)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 255 = -9048. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 16. Let b be w - 0*5\/25. Suppose 4*z = -3*f + 41, b*z - 3*f + 1 = -z. Calculate the remainder when 20 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 798\/665*(-2)\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*n + 155*n - 164*n)*(6*n**4 - 63*n**4 - 55*n**4).\nAnswer: -11984*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:46 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -8*b**4 + 290*b**3 + 536*b**2 - 152*b = 0.\nAnswer: -2, 0, 1\/4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 508*j**2 + 87936*j + 182628 = 0.\nAnswer: -171, -267\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 6*x + 3*x)*(-x + 3*x + x - 6*x + 5*x + 3*x - 2*x - 2 + 2 + (-x - 3*x + 3*x)*(2 - 3 + 2) + 2 + x - 2 - x + x + x - 2*x - 4 + 4).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49269, 98569, 147903, 197271, 246673, 296109, 345579?\n\"Answer: 17*a**2 + 49249*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k**2\/2 + 10623*k\/4 - 33327\/4 = 0 for k.\nAnswer: -3703\/54, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1804914 and 126.\nAnswer: 12634398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 5, m: 2, u: 2, j: 2}. Give prob of picking 2 m.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)\/((-1)\/(-5)). Suppose -k + 5*k = 8. Let q(l) = -3*l**3 - l**2 - l. Let d be q(-1). Sort k, b, d in decreasing order.\nAnswer: d, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p. Let j(d) be the first derivative of -11*d**2 + 11. Determine j(q(k)).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 789273.614 - -35.\nAnswer: 789308.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1380*f - 1380*f - 832*f**2)*(-4 + 4 + 2 + 3 - 5 + 4 + (1 - 4 + 1)*(1 + 0 - 3) - 1 - 1 + 4 - 5 + 3 + 3 + 3 - 5 + 1).\nAnswer: -8320*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - 11540\/140 - -40.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2 + 4*y + 1 + y**2 - 5 + y. Let f be v(-6). Find j such that -4\/5*j**f + 0*j + 0*j**2 - 2\/5*j**3 + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*25\/250)\/((-2)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500139 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 43*f**2 + 26*f + 126. Give q(-22).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + 2*w**2. Suppose -11*c = -13*c + 8. Suppose -3*q = -c*y + 16, -y = -2*q + 7 - 16. Let u(x) = x**2 - x + 1. Determine y*i(s) - 2*u(s).\nAnswer: 2*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5675*z**3 - 16*z**2 + 16*z + 10. Let o(v) = -5676*v**3 - 18*v**2 + 18*v + 11. Give -9*h(b) + 8*o(b).\nAnswer: 5667*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(153) + 1)**2 - (1 + sqrt(425) + sqrt(425)*2)**2*3.\nAnswer: -11325 - 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136586678 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjwwjwjwjjcwwwwwc. What is prob of picking 1 j and 1 c?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22022687 by -29.\nAnswer: 759403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237.036 + -2778.\nAnswer: -2540.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 33. Let g = 24 + -4. Calculate the smallest common multiple of g and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 7*r + 8*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, g: 4, z: 2, l: 1, a: 7}. What is prob of sequence lgag?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l + 9. Let w = 9 + l. What is the lowest common multiple of w and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 1. Let a = -253 + 364. Let t = a + n. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000136539 to 6 decimal places.\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - 3*a**3\/2 - 4*a**2 + 11*a. Let w be b(-8). Let 0*y**2 - 2\/11*y**3 + 2\/11*y + w = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3580*p - 1457*p - 1925*p - 1742*p + 1524*p to t + s*p and give s.\nAnswer: -7180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (-16137)\/(-660))*(5*-1 - 2460\/(-504)).\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 4*x**2 + 5*x. Let s be k(5). Let i(z) be the second derivative of -z**3\/6 + 2*z**2 + 13*z. Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23 less than or equal to 418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 16. Let k be -5*-2*(-2)\/5. Let p = k - j. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 16*l**2 - 4*l - 6. Suppose 19*c = -2*c - 147. Let v be y(c). Let z = -8 - -23. What is the highest common divisor of z and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(-1\/6))\/x)\/(x*x*x\/(x\/(x*x\/x**25*x))*x*x) assuming x is positive.\nAnswer: x**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -302720*q**2 - 7*q - 25749553 wrt q.\nAnswer: -605440*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40258 is divided by 1482.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-477)\/36)\/(1136\/64 + -18).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14332*c**3 + 108*c + 14330*c**3 + 11*c - 4 in the form g + f*c**3 + h*c + d*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 7 + 1. Let z be (-472)\/(-12) - y\/6. Let o = z - 118\/3. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 7*v + 6*v - 12*v + 4*v.\nAnswer: -2*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-51)\/(-6))\/((-1)\/(-2)). Suppose -8*q - 54 = -510. Suppose 0 = 60*i - q*i - 6. Solve i*o - 9 = -3*y - 2*o, -5*o + d = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4999684 is divided by 1116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71837.\nAnswer: 71837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55, 56, 57, 58, 59?\n\"Answer: t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 1.6.\nAnswer: -68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9167 is divided by 1575.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 935 = 5*m - 958, -1 = 3*m - 5*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*w - 2047 + 483 = 0, 4*y = 2*w + 1594. Does 44 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143889.\nAnswer: 3, 47963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41062 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/295 or 732\/7?\nAnswer: 732\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 5\/207 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6767?\nAnswer: 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - 4*h)*(-5 + 2 + 0)*(215 - 580 + 223 + 241).\nAnswer: 297*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.031 - -0.071. Let l = x - 4.04. Is 0.05 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-344)\/(-1032))\/(0 + (-2)\/(-258786)).\nAnswer: 3, 11, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 14) in base 3?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 3. What is the units digit of 6\/o - 25\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2040505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*d - 16615 = -1264 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 49*y - 46*y = 1314, -h - 2*y = -658. What is the remainder when h is divided by 160?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62637636448 minus -3677?\nAnswer: -62637632771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkk when four letters picked without replacement from {m: 4, v: 1, j: 1, d: 8, k: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215 - 74 - 72 + 7*u**3 - 68 - 2*u to m*u**2 + q*u**3 + c + b*u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.2, 30, -4 in decreasing order.\nAnswer: 30, 0.2, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 7*v + 5. Let u be h(-7). Suppose -u*b = -g - 13, g = -b - 0 + 5. What are the prime factors of (20\/(-1))\/(b - 5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374307 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -403*h**6\/5 - 19*h**3\/6 - 39*h**2\/2 + 6171*h. What is the second derivative of m(q) wrt q?\nAnswer: -29016*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a + 2*a**2 + a**2 + 0*a**2 - 2*a.\nAnswer: 3*a**2 - 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 + 1576 = 4*r. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 94*z**2 - 610*z - 102. Calculate b(-87).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1373 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -207553? (a) -1\/3 (b) 0 (c) -1\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306251992?\nAnswer: 2, 23, 137, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921, 2259, 3597, 4935, 6273, 7611?\nAnswer: 8949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 386329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -3)*(1 + -2). Let d be h\/(-4) - (-36)\/(-16). Is -4\/7 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 482790 and 2178.\nAnswer: 1448370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 10*o**2 - 10*o - 7. Let i be j(-9). Let h = 2 + -2. Factor 0 + h*n + 2\/5*n**3 - 2\/5*n**i.\nAnswer: 2*n**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406312 = 4511*o - 441*o + 1820*o + 88252 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 221315.\nAnswer: 1\/44263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143100, 2, 6, -5, 13, -3.\nAnswer: -5, -3, 2, 6, 13, 143100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931 divided by 9060.\nAnswer: 931\/9060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000011712 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 748548606 and -50596.\nAnswer: 748498010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110320 - 12300301?\nAnswer: -13011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/49)\/(((-1)\/(-7))\/(-1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -8. Suppose 5*f = -5*i + 2*i + 9, -3*i + 9 = -f. Suppose p - 9 + 2 = f. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - 1 - (11 + -10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 10746868*q**3 + 19249202466144*q**2 + 11492723499580972800*q + 22985370002438055936.\nAnswer: 2*(q + 2)*(q + 1791144)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86861295*t**2 + 263599015?\nAnswer: 173722590*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let u(w) = -2*w - 9. Let x be u(-6). Solve b + 3 = -x*p - 0*b, 4 = -4*p + s*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 23. Let q be y(0). Suppose 2*o + 7 = q. Which is bigger: o or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 7*d - 3. Calculate the remainder when 24 is divided by s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + t**2 + 3. Let l be d(0). Let x = 2 + l. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9. Let p(z) = 1217*z - 4327. Let b(v) = p(v) + 6*t(v). What is the first derivative of b(l) wrt l?\nAnswer: 1217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479645 equal to 25421150\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-6) - 16 - (0 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*c**2 - 7 + 8 - c in the form d*c + a*c**2 + k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.01257 rounded to zero decimal places?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-20))\/(-1))\/((-714)\/510)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5237 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 2. Let d be n(-2). Suppose -2*u + d = -110. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997702086.\nAnswer: 2, 73, 13682891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2242085 micrometers?\nAnswer: 0.0000000002242085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 832930069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056322297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 + 5*p + 2. Determine y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**5\/20 - 11*j**4\/12 + 5*j**3\/3 + 2*j**2 - 3*j + 3. Let u(k) be the first derivative of i(k). Does 14 divide u(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 43*o**2 - 22*o - 8. Give l(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Let f = l - 3. Suppose 5*z - 18 = -q, f = 7*q - 2*q - 4*z - 90. Solve -10 = -0*g - 4*g - 2*u, -2*u = -3*g + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652 smaller than 1648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/27680 and -19\/1600.\nAnswer: 276800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-340))\/(14\/105).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (7 + -13) - 31.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14995 is divided by 1545?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1490 - 1042. 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 comes next: 14, 33, 78, 161, 294, 489?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l**2 + 10*l**2 - l**2. Let m(v) = 10*v**2 + 4*v - 8. Let b(w) = 12*w**2 + 5*w - 10. Let k(n) = -4*b(n) + 5*m(n). What is k(y(j))?\nAnswer: 1250*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 7*l**2 - l + 56. Calculate j(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(15\/2)*k**(3\/5)*k*(k**4)**20 assuming k is positive.\nAnswer: k**(761\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 11, -3\/5, -1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3321275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 112*j**2 - 1674*j + 2916.\nAnswer: -2*(j - 27)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*p = 321*p - 160*p - 4. What is the third biggest value in p, -25, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129874 is divided by 325.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**5 - 1368*b**4 - 25668*b**3 + 29792*b**2 + 54096*b = 0.\nAnswer: -322, -21, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 1, l: 2, u: 1, a: 2}. What is prob of sequence uam?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 110 = -s - 22, -5*z + 135 = -5*s. Suppose 4*m - 7 + z = 0. Which is smaller: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/33 + (-24)\/(-11). Let t be 4 + c + 108\/(-32). Is 4 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 95, 145, 197, 251, 307?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*r + 9158081, r - 2*a = 2741798 + 310901. Let m be 222\/((-67132)\/67124 - -1). Let n = m + r. Round n to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-2550) + (-91586)\/(-2346)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 4*v + 1. Let k be m(3). Solve 2*g = 5*t, -g + 2*g = -t - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -206066\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46\/(-138) + (-3032)\/(-6) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -646092.\nAnswer: 1\/161523","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57879 is divided by 749?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3205170 to the nearest ten thousand.\nAnswer: 3210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -1, -5\/3, 403.7, 4.3 in ascending order.\nAnswer: -6, -2, -5\/3, -1, 4.3, 403.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -439 - -1184. Let o = 765 - g. What is the biggest value in o, 0.1, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -997 or -1012?\nAnswer: -1012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*(7 + -1). Let f = c + 1. Solve 4*n = n - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021661 rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*1 + (sqrt(10) - -3*(sqrt(30)\/sqrt(3) - sqrt(10)) - sqrt(10)))\/(2*sqrt(500)*-3).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2645*p = 1059*p - 7684*p + 176130 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 72*y**2 + 21*y - 26. Let v(n) = 48*n**2 + 13*n - 17. Determine -5*c(x) + 8*v(x).\nAnswer: 24*x**2 - x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*f = -155, -5*f = -3*z - 7*f - 431. Is 29\/z - 30432\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 5)*(0 + 0). Solve 2*h + 3*h = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 592 and 139392.\nAnswer: 5157504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -806, -485, -164, 157?\n\"Answer: 321*t - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000208 to seven decimal places.\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b + 3*k - 2, 2*b = -4*k - 2. Solve 0 = 2*s + b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 12. Suppose 3*i - 4 + 3 = y, f*i = 3*y - 2. Suppose -3*k + 3 + 2 = 2*c, y*k - 5*c + 22 = 0. Is 2\/13 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1367674208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -3*x. Let w be 2*1\/(x\/2). Let c = 6 - 10. Sort c, 3, w.\nAnswer: c, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/56*(-10)\/8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 794, 1177, 1558, 1937, 2314?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n. Let r be h(-2). Let k = r + 3. Calculate the remainder when (3 - -3) + (-90)\/(-3) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.35+973435715\nAnswer: 973435708.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**3. Let w be o(-1). Let u = -3 + w. Find the third derivative of -3*q**3 + 17 - 2*q**u - 17 + 5*q**3 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**2\/f))\/f*f)\/f**(-2\/5)*f*f\/(f\/(f\/(f**(-4)*f)))*f\/f**(3\/7) assuming f is positive.\nAnswer: f**(209\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160015 is divided by 399?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6919\/85 - 37) + -72 + 28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10*z**2\/z*(z**(-1))**(1\/41))**(-2\/3) assuming z is positive.\nAnswer: z**(-300\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*c**2*i**2 + c**2*i*o - 10*c**2*i - c**2 + 2*c*i*o + 1247*c*i + 6039*i**3*o wrt i?\nAnswer: 140*c**2 + 36234*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 113, 3\/5, 2.\nAnswer: -1, 3\/5, 2, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, 30 in decreasing order.\nAnswer: 30, 8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1260346 (base 7) to base 16\nAnswer: -287da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(-8)))**(-7\/2) assuming j is positive.\nAnswer: j**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -574, -564, -556?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 61. Find the common denominator of (3\/(-4))\/(j\/((-1056)\/(-14))) and -81\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 26*h + 41. Let y be j(-24). Suppose 0*d - 24 = 6*d. Is y >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256696873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/428 and 93\/10.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (4 + -5)*5. Let l(d) be the second derivative of 1\/4*d**k - d + 0 - 3\/8*d**2 - 1\/16*d**4. Determine s so that l(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 40464200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a meter in millimeters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29450921 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6167 + -3498. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535058043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:04 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((714\/(-35))\/17)\/((-4)\/(-5))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, s: 2, n: 1, c: 2}. What is prob of sequence nxc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -20*((7 - 4) + -5). Let o(x) = -23*x - 21*x + w*x. Let v(m) = 8*m**2 - 1 + 1. Give o(v(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 - z - 3. Let j(g) = 22*g**2 + g. What is the remainder when j(1) is divided by q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 8991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90877697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:11 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h - 2. Let w be t(-1). Let j be (-50)\/33 - 148\/(-814). Which is the nearest to 0? (a) 0.4 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (12 + -42 + 22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10607801325.00000017 - 10607801277. Let o = 48 - q. What is o rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1971.691 - 1973. Let s = 0.3 - 0.289. Let h = s - k. Round h to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1421 (base 10) to base 5\nAnswer: 21141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 32*y**2 + 1655*y + 122. What is i(-50)?\nAnswer: -2628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-734.\nAnswer: -29.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 168 = 5*a. Calculate the remainder when a is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - 76307?\nAnswer: -76299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -173.\nAnswer: -69.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, 26397, -1.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 7. Determine u(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*t + 483 - 157 - 166 - 162 - 15*t**3 to the form b*t**3 + w*t + s + x*t**2 and give w.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)\/((7 + 0)\/(-35)). Let t be -4 - (54\/(-6) + m). Let d(u) = 2*u - 8. Calculate d(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000096497 rounded to six dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*d + 41, 9 = -3*d + 69*x - 66*x for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 272 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43294398 to the nearest integer?\nAnswer: 6580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -125*g**4 + 10*g**3 = 0.\nAnswer: 0, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/l)\/l**(2\/5)*l\/l**(-2\/15)*(l\/l**25)\/l*l assuming l is positive.\nAnswer: l**(-229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054550 divided by -3?\nAnswer: -684850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y + 3. Let r be v(6). Let g be (-58)\/(-6) - 6\/(-18). Calculate the highest common divisor of g and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 1305*g**2 + 4*g - g - 1351*g**2.\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05521 and -3174.5?\nAnswer: 175.264145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 2*i + 1. Let r(p) = 20*p**2 + 14*p - 1835. Calculate -r(j) + 6*z(j).\nAnswer: -2*j**2 - 2*j + 1841","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9394 - 0.0606. Let x = 0.26 + -16.26. Let k = x + 17. Which is the nearest to k? (a) l (b) 0.8 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (13 - 3) - (-138)\/(-21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1632 = -o, 1379 = 3*x - 4*o - 1079. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -600412 divided by -600412?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2626\/(-104))\/((3\/24)\/(8\/16))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5150118 is divided by 8849?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbkfkkkfkffkfkfkbkf. Give prob of picking 1 k, 1 f, and 2 b.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s**3 + 8*s**2 - 8*s + 12. Let q(n) = -4*n**3 + 3*n**2 - 3*n + 4. Let a(b) = 8*q(b) - 3*y(b). What is the first derivative of a(w) wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1435, 2, 30, -5 in increasing order.\nAnswer: -5, -3, 2, 30, 1435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 + 25*s)*(-16*s**2 + 19*s**2 - 35*s**2) + s**2 - s**2 + 2*s**3 + 3*s**3 + 0*s**3 + 0*s**3.\nAnswer: -795*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/(-615))\/((-2)\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-4)*(-4)\/(-6). Let r = 9 - z. Suppose n + 3*n = j + 1012, r*j = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t + 13 - 13 - 152*t in the form n + y*t and give y.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 761100 and 1680?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2501781 litres to millilitres.\nAnswer: 250.1781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:24 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:26 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 33*x + 14. What is d(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5699, 48583, 164979, 391643, 765331?\nAnswer: 1322799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4236482 is divided by 13197?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397571*h**6 - h**2 + 4*h + 35599 wrt h?\nAnswer: -47708520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*z = -2*z - 84, -b + 3*z + 8 = 0. What is the remainder when 117 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:45 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9730770611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-300)\/(-16)*35\/24. Let o = w + -717\/32. What is the common denominator of 30\/(-16)*138\/27 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 + 3)*(1 + 0 + 0)*(-4*f**3 + 5*f**3 - 2*f**3) + 7*f**3 - 8*f + 8*f to the form a + o*f**2 + b*f**3 + p*f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 3*m - 21. Let r be a(-9). Factor 27*n**2 - r*n + 8*n - 22*n**2 + 4 - 4.\nAnswer: 5*n*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 17\/(-7) + 1005997\/161. Let x = f - 4355. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) - sqrt(20))*-1)**2 - (4 + sqrt(45)\/(sqrt(81)\/sqrt(9))).\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2, b: 10, t: 1, f: 2}. Give prob of picking 1 x and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/120 - n**5\/12 + n**4\/24 + n**3 - n**2. Let v be o(-6). Let h = v + -25. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4820 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25509, -25512, -25517, -25524, -25533, -25544?\nAnswer: -25557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3364, -3363, -3360, -3355, -3348, -3339?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*h + 38*h - 1824429 = 46*h. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyffyyyyyufydyf. What is prob of picking 1 d and 1 u?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from vzsrzererle.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 + -6 + 5 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1879 - 1874. Solve -a*v - 18 = 4*u, 5*v + 8 = -8*u + 9*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.6 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 520396260 rounded to the nearest one million?\nAnswer: 520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192185.\nAnswer: 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133.7 - 133.7971. Let i = -0.1 - h. Round i to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32113001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60597121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000463214 to seven dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365679974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(1232\/(-11)))\/(5\/40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let m(f) = -97*f + 21*f + 24*f + 26*f + 32*f. Let c = -5 - -3. Determine c*m(x) - 11*n(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20485184.\nAnswer: 2, 320081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4 + 12*h**3 + 18*h**2 + 12*h + 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - -10. Calculate the smallest common multiple of q and ((-42)\/35)\/(12\/(-180)).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -511, -510, -509, -508, -507?\n\"Answer: z - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2 - 12*f - 50 wrt f.\nAnswer: 12*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -126?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 64\/11 (c) 0.0634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/300 + 91*w**4\/30 - 16562*w**3\/15 + 852*w**2. Factor x(t).\nAnswer: -(t - 182)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.9942 - -59. Round p to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/4 (b) 1\/3 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**3\/3 + 63*f. Let y(z) be the second derivative of 0*z**3 - 2\/3*z**4 + 0*z**2 + 0 + 2*z. Give y(v(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*a = 1070, -a + 3*a - 2122 = 4*b. Let k = b - -336. What is k rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 + -424. Let i = y - -333. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/3*3\/(-2). Solve 4*q - f = 2*m, 2 = -2*m + 4*m - q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.2, -101\/7, -2\/5 in decreasing order.\nAnswer: -0.2, -2\/5, -3\/7, -101\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -30. Suppose 4*l - y = -j, -2*j + l = -l - 6. Suppose -s = -j*s + 64. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85490 is divided by 320.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 11 = 0. Let c be 22\/(-121) - (-145)\/l. Let w(v) = -399*v**2 + 1210*v. Let d be w(3). What is the greatest common divisor of d and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32672880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2502.1 + -2632. Let v = -130 - r. Which is the nearest to 3? (a) -3\/4 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/2 - -4. Let l = 1.11 + -0.11. Let b(v) = -v - 13. Let q be b(-10). What is the nearest to i in q, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9105491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -501 - -583.6. Let x = m + -98. What is x rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i**2 - 62*i**2 + 109*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -859816 divided by 124.\nAnswer: -6934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5758?\nAnswer: 2, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 1. Let c be i(-1). Let d(f) = -f + 5. What is the remainder when 20 is divided by d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 4*n**2 + n - 4. Suppose 2*f - 3*f - 2*d + 15 = 0, 4*f - d = 15. Suppose f*w = -t - 23, -t = w - 5 + 12. Let k be 6\/(6*1\/w). Determine r(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14*i**2 - 43*i - 1301. Let b(u) = 9*u**2 + 27*u + 868. Determine 8*b(q) + 5*r(q).\nAnswer: 2*q**2 + q + 439","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.77 - -10.7. Let d = -0.9146 + a. Round d to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -5*((sqrt(119)*-3 + sqrt(119) - sqrt(119) - sqrt(119)) + sqrt(119)) - sqrt(119))\/(sqrt(175) - sqrt(175)*3))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 - -189.2. Let x = -16.2008 + z. Round x to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/269497 or 10?\nAnswer: 2\/269497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, -26, -60, -94, -128?\n\"Answer: -34*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16235 (base 11) in base 2?\nAnswer: -101100101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(((p*(p\/p**(-6)*p)\/p*p)\/p)\/p))\/p)\/p*p*p*p*p*p**(-13)\/p*p*p)\/(p\/p**5*p)**(2\/57) assuming p is positive.\nAnswer: p**(-302\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 22*w**2 + 20*w - 17. Let q be z(19). Is q\/5 - 12\/60 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqdidxfddd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {u: 2, d: 2, w: 1, i: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.09 - 12.79. Sort -3, -0.01, j, -6\/13, 0.4 in descending order.\nAnswer: 0.4, j, -0.01, -6\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -892 or -0.0094?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**3 - 9*c**2 + 7*c - 1. Let l(a) be the second derivative of a**5\/20 + a**4\/12 + a**2\/2 + 53*a. Let x(g) = -6*l(g) - w(g). Determine x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*k - 1496*k + 83556 = 407*k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Let p = -10 + 16. Let b(v) be the second derivative of v**5\/20 - 5*v**4\/12 - v**3 + v**2 + 2*v. Let z be b(p). Give c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Suppose s*b = -0*b + 64. What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 + 1.5. Sort f, 0.4, 0.3 in descending order.\nAnswer: 0.4, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -4. Let r be (-80)\/(-12)*l\/10. Suppose -r*s + 50 = -3*s. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/1)\/((-3140)\/(-1256)))\/((-2)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1635695936 - 1.306.\nAnswer: -1.4695695936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -886.36.\nAnswer: -883.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78345 divided by 15669.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 18*a + 2. What is w(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 85\/34*(-196)\/(-10). Calculate the greatest common factor of h and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1503845, -3007726, -4511625, -6015542, -7519477, -9023430, -10527401?\nAnswer: -12031390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 0*x - 3\/5*x**4 + 9\/5*x**5 + 0 + 3\/5*x**2 - 9\/5*x**3 = 0?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26251 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 98 * -0.6\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**3 - 144*v**2 - 8. Let b(h) = 2*h**3 + 49*h**2 + 3. Calculate -8*b(s) - 3*m(s).\nAnswer: -s**3 + 40*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6\/7))\/(b**(1\/26)\/b) assuming b is positive.\nAnswer: b**(513\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 160. What is the remainder when ((-61680)\/75)\/(-8) - (-18)\/15 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.079.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7357 and 168.\nAnswer: 176568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**8\/336 - d**7\/7 - 67*d**5\/30 - d**4\/12 - 122*d**2. What is the third derivative of k(w) wrt w?\nAnswer: 60*w**2 - 720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 3 + -322 + -3 + 3. Let g = x + 573. What is the third derivative of -g*w**3 + 4*w**4 + 251*w**3 - 16*w**4 - 15*w**2 wrt w?\nAnswer: -288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25815 + -3?\nAnswer: -25818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 300*w + 3*u - 2*u - 1205, w + 4*u - 1067 = -1043 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.8245 millennia in decades?\nAnswer: 16482.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 0*a - 43 = 6*a - 209, 0 = 5*g - a - 165 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4588*n**2 + 3620*n**2 - 5919*n**2 to w*n + h*n**2 + g and give h.\nAnswer: 2289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 7) + 15\/(-3) + 284 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {t: 2, d: 1, o: 2, i: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70787839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:30 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 21*q**2 + 311*q - 65. Let k(z) = 10*z**2 + 156*z - 34. Let j(y) = 5*k(y) - 2*o(y). Let j(x) = 0. Calculate x.\nAnswer: -20, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-476)\/(-935))\/((-1)\/11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d**2 + 1 + 0*d - 1\/3*d**3. Let h(m) = m. What is h(k(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 207581329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 26*p = 22*p - 22, 5*p = 4*f - 17. What is the nearest to -23 in f, -3\/5, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 18509 - 7501. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2 + 1 - 6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 95.89141 days?\nAnswer: 8285017824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 544 = 21. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2652 - 2653. Let a = 1 + -1. What is the nearest to 2 in 0.3, a, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*k + 4*j, -3*j - 35 = -k + 1. Solve u - k = 9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/3 + 15*g**2\/2 + 7*g - 7. List the prime factors of v(-18).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 169 = 14*r + r, 0*j - 27*r = -j - 26*r - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4174923, 16699648, 37574191, 66798552, 104372731, 150296728?\n\"Answer: 4174909*y**2 - 2*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2899 * -4484.\nAnswer: -12999116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2\/4 + 1833*p\/4 - 1368 = 0. What is p?\nAnswer: 3, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.3 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 + 2*t - 5. Let h(y) = -743 + 2*y - y + 739 - 2086*y**2 + 2081*y**2. Determine -4*h(q) + 3*j(q).\nAnswer: 8*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 6755227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 69 = 18*x. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 162526 - -355?\nAnswer: 162881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(5)*-3 - sqrt(20)\/((sqrt(4) - sqrt(64)) + sqrt(4))) + -1 + (sqrt(50)\/(-6*sqrt(10)*-3))**2 + 4).\nAnswer: -7*sqrt(5) - 977\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.7. Let d(r) = r**2 - r. Let o be d(2). Let f be 2\/o*(4 + -1). What is the nearest to 1\/4 in h, 1, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 10*c - 9. Let d(b) = 6*b**2 - 5*b + c - 5*b**3 + 4*b**3 - 3. Calculate d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 17416*i**2 - 17416*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.9. Let u = 6.627 + -6.527. Which is the nearest to y? (a) 3 (b) -0.03 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3877531\/9 or 430836?\nAnswer: 430836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, 2, 9?\n\"Answer: 7*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 20. Let l be v(16). Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2363, -4729, -7095, -9461, -11827, -14193?\nAnswer: -16559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10210 divided by 5.\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-6)*-2*(-8)\/(-4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14)\/t*t)\/t**(-2\/11) assuming t is positive.\nAnswer: t**(-152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 21. Let i be k(-11). Suppose 257*n - 15236 = -3671. Calculate the greatest common factor of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -12\/11 in descending order.\nAnswer: 11, 5, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-4) - -22)*3. Let y = s - 39. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/(1445\/2890*(-99)\/(-30)*-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -522299 < -522373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 2395795 - 6*a - 2395825.\nAnswer: -5*a - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 621, 1271, 1921, 2571?\n\"Answer: 650*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*d + 231*d - 3984 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 + 3 + 102 - 27 + 98)*(40 - 4*d - 40).\nAnswer: -1056*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.98. Let z = o - -0.25. Let s = z - -0.02. What is s rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 x when four letters picked without replacement from xbbxx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24401393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -12 + 2. Let k be ((-3)\/2)\/(2\/4). Let f be -2*3*k\/(-45). Which is the nearest to f? (a) 0.3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 210 = 5*w, -1786*f = 7*w - 1791*f + 246 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-261)\/(-36) - (-2)\/(-8). Solve -2*c - 3 = w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 4 (c) -0.0804\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1437*q - 14160 = 1950*q + 1113*q - 90660 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or 0.05?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956258.97208 plus 0.5?\nAnswer: 1956259.47208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4372128 by 16.\nAnswer: 273258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = 0. Let m = 0 + w. Let v(q) = 0*q - 3 - 3*q + m*q. What is v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -46. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.21 + -0.21. Let b = 18.71 - 0.11. Let a = b - x. What is the nearest to 1 in -4\/7, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 3*v - 2. Let i(f) be the first derivative of 4*f**3\/3 - 3*f**2\/2 + 3*f - 1398. Give -5*d(h) - 4*i(h).\nAnswer: -h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - ((14 - -8) + (-19 + -12 + 14 - -1))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*n - 53*n + 1296. What are the prime factors of 3245\/2 + n\/144?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313434412 (base 5) in base 7?\nAnswer: -14102441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = -4*l + 57, 5*w - 5*l = -55. Let y be 1\/(2*1\/w). Let t(s) = s**2 + 3*s - 7. Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/7 + 11\/(539\/(-14)). Suppose 2 = y, q*c - y = 6 + 8. Solve 0 = 5*i - c*l - 9, 5*l = 2*i - 8 + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11238 (base 11) to base 2.\nAnswer: 11111101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 1900 = 4*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215)\/(-19) - (-32 + 8 - -35).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x + 4. Determine z(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 17*n**3 - 2415*n**2 + 141*n - 378. Calculate z(142).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1536) + sqrt(1536) + 2*sqrt(1536) + sqrt(1536) + sqrt(1536))\/(sqrt(96)\/(sqrt(12)*-3)).\nAnswer: -144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-3))\/(48 - 49). What is the closest to -2\/5 in 5, 0.1, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65474 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(-2)\/(-2))\/((-2)\/28). Let d = q + -26. Suppose d*a - 17 = 15. Calculate the remainder when 62 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 + q + 6. Let x = -22 + 27. What is a(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 0.17, -2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3436*l**3 - 5458*l**2 + 2*l - 1 wrt l.\nAnswer: 20616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2. Let f = 17180 + -17177. Let c(l) be the third derivative of 0*l**f + 34*l**2 + 0 + 1\/24*l**4 + 0*l. Give c(g(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 16*q - 37 = 21*q, 0 = q - 4*q - 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 35*c**2 - 34*c + 77. Let t be w(-34). Let y(g) = g + 4. Let m be y(3). What is the greatest common factor of m and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*n = 6, 3 = 3*h + 3*n - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792 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: Simplify sqrt(18)\/(sqrt(24)*2) + -2.\nAnswer: -2 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.07999997 - -2.08. Let f = u + 0. What is f rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 140117 = 182183. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 438 + -437.6. Let y = 0.4 - -0.6. What is the closest to -1 in y, h, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54105255 (base 6) in base 5?\nAnswer: 402022032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 1\/120*m**6 + 3*m**2 + 0*m + 1\/15*m**5 - 1\/6*m**4 + 0 + 7\/6*m**3. What is w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = 6*n + 351. Let m be (1 - 4\/(-4)) + n\/(-2). What is the third biggest value in 9, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -2.02. Let n = 14.606 - 15.006. Which is the second smallest value? (a) -0.2 (b) -0.19 (c) f (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7152539*y**3 - 38*y**2 - 31987 wrt y.\nAnswer: -42915234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/20 - d**4\/3 - 2*d**3\/3 - d**2 - d. Let p be 4\/1 + (-3)\/(-15)*5. Determine m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(15)\/sqrt(3) + sqrt(5) - sqrt(5))*-5 + (1*sqrt(136)\/sqrt(8)*3)**2.\nAnswer: -5*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6852 - -27271\/4. Let u(y) = 6*y**2 + 253*y + 9. Let w be u(-42). Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 30\/9)*3375\/50. Let k(s) = 2*s + 1. Let i be 104\/24 + (-2)\/6. Let y be k(i). Calculate the greatest common factor of y and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 1, o: 2}. What is prob of sequence go?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 20.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + 2*z)*(-294*z - 104*z - 120*z - 205*z).\nAnswer: -1446*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12663359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 3*m**2 - 2*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*g + 53. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*n + 2*x, 3*n = x - 3*x + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-110))\/((-140)\/112)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and 0.4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 2*i**2 + 4 - 2*i - 12*i. Let m be o(-6). Suppose -44 = 5*v - 144. Solve 0 = m*d + d + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 times 0.051\nAnswer: 2.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98427 is divided by 386.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 - 2) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 46. Let k(j) = -j**2. Let g be k(-1). Let p be (g\/l)\/((-39)\/(-12)). Is p equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 93. Let y be (91\/o - 3) + (-2)\/10. Calculate the greatest common divisor of 45 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, -12, 5 in decreasing order.\nAnswer: 5, 1, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27978 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417.09 + -414. Let b = 3 - q. Let t = -0.01 + b. What is the nearest to 3 in 0.5, t, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 848522, 848419, 848316, 848213, 848110, 848007?\nAnswer: 847904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let r(k) = k**2 + 2*k**j - k + k**3 + 0*k + 3. Suppose -11 = -i - 14. Give r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1559.8 + -1560. Let k = 2 - 3. What is the nearest to k in 0.2, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1676457, -3352918, -5029379?\n\"Answer: -1676461*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110110001 + -11101000?\nAnswer: -100101010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(0*v + 2*v + v) + (3 + 6 - 2)*(-3*v - 2*v - 5*v) + 2*v + 3 - 3.\nAnswer: -77*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -503, 0, 2, -19, -1.\nAnswer: -503, -19, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -240?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w + 4*w - 2*w + (5*w + w - 4*w)*(3 + 0 - 2) to u + c*w and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -29. Let d(u) = -3*u - 62. Let t be d(b). What is q in 3\/2*q - 1\/2*q**4 + t - 1\/2*q**2 - 3\/2*q**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/35 - (-416)\/252)\/((-4)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdll when four letters picked without replacement from xxdldxdxdlxxxxd?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a33 (base 13) in base 11?\nAnswer: -1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -210406 and 3435.\nAnswer: -206971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -129*s**2 + 198*s - 205. Let k(x) = 26*x**2 - 36*x + 41. Determine 11*k(t) + 2*q(t).\nAnswer: 28*t**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54340208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h + 4. Suppose 3*j + 23 - 8 = -4*g, -3*j - 15 = g. Let v be k(g). Is (-211)\/v*4\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a hour in minutes?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(20\/(-15)))\/(57\/19)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -412 + 398. Let r be 5\/2 + (-483)\/q. Suppose -s + 51 = -60. What is the highest common factor of s and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5853*p**2 - 6*p*r**3 - 371*r**3 - 2*r**2 - 7*r wrt p.\nAnswer: 11706*p - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 193645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/135 and -14\/117?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-861)\/3280*(-24)\/42?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(-1\/5))**(-39) assuming o is positive.\nAnswer: o**(-546\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42.373 - -0.127. Let x = 40.5 - c. What is the fourth smallest value in 0.2, -0.2, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 8*k**3 - 2*k**2)*(222*k + 115 - 40*k - 117).\nAnswer: -1456*k**4 + 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:58 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 28*y**2 + 4*y + 2. List the prime factors of b(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015718 to 4 decimal places.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o - 5*o**2 + o + 8*o**2 + o**2 + 3*o**2 - 6*o**2 + (-3*o + 3*o + o)*(-2 + o + 2).\nAnswer: 2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 276299*s + 0 - 276301*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 1)*(-5 + 1 + 5)*(-13*r + 0*r - 22*r) in the form h*r + o and give h.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, -14.\nAnswer: -14, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 18*v - 17. Let o be z(8). What is the greatest common divisor of 105 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -103 times 9767\nAnswer: -1006001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39668 divided by -211?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 8*w**2 - 19*w - 4. Let a be k(-5). Let l(f) = -18*f + f**2 - 15*f + a + 39*f. Is l(-14) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 21*q**2 - 26*q + 27. Let c be m(-20). Let y be -7*(-13)\/((-91)\/(-147)). Is y greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772291?\nAnswer: 13, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 16*v**2 - 66*v - 118. Determine d(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = -22*i + 3*s - 5, -6*i = -7*i - 6*s + 38 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 40531320?\nAnswer: -40531333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119047*j**3 - 33*j**2 + 32411483.\nAnswer: -357141*j**2 - 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/105248 and 3\/352.\nAnswer: 105248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y - 12. Let v be (-2 - y\/3)*1. Suppose -2*h + 4 = v*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(68)*-1 + sqrt(68))*1*-1)\/(-1*sqrt(64)*-4 + sqrt(64) + 4*sqrt(64)*2 + sqrt(64)).\nAnswer: 5*sqrt(17)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -480, -1062, -1876?\nAnswer: -2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h**2 + 0*h**2)*(5 - 3 + 0) + 3*h - 3*h + h**2 - 307 + 307 + 52*h**2.\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(33\/12) + 6. Suppose -9*k + 18 = -4*k - 2*f, 0 = 3*k + i*f - 14. Solve 0 = k*a + 19 - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 1, -5, 3\/2, 105\/197, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 5*k**2 - 5*k. Let d be n(-4). Let i = 14 + -10. Solve 3*p - 3*s = d*p - 5, 4*s = 4*p - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 31*v = 6, a - 233 = -5*v. What is the highest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.059? (a) -7.3 (b) 2\/5 (c) -414\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.550017 millilitres to litres.\nAnswer: 0.005550017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/3*(1 - -2). Let c be (-1 + 4)\/((-27)\/(-99)). Suppose c*y - z*y + 108 = 0. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 169*r**2 + 1131*r - 1. What is t(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d**2 - 5*d**2 - 2*d**3 + (-d**2 + 3*d**2 - 3*d**2)*(2*d + 2*d - 2*d))*(134*d - 83*d - 68*d) to k*d + g*d**2 + m*d**4 + x + p*d**3 and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44074, 43970, 43866, 43762?\n\"Answer: -104*h + 44178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 15. Let c(j) = 384994 - 128333 + 0*j - 128329 - 128329 + j. What is c(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6 - 3. Suppose q - 3 = z, -f*q - z - 23 = 4*z. Let k = 3 + q. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/10808 and -113\/2702?\nAnswer: 10808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:18 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/((-4)\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2. Suppose 11 = -7*k - 10. What is a(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*x - 102*x + 4*p - 32468, 3*x = 3*p + 24351. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0 - 1\/4*i**4 - 1\/60*i**5 - 36*i**2 + 5\/6*i**3 + 0*i. Calculate b(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = a + 20, -2 = -5*o - 17. Let c(u) = u**3 + 6*u**2 + 5*u + 5. Give c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 6:11 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzztzjjjwzbtjzz. Give prob of sequence ww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 6*k - 2. Is b(7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9610 greater than or equal to -1259071\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134\/23 + -10042\/1771. Let z = 2019\/1595 + 1\/145. Let v = z + y. Does v = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -212f7c?\nAnswer: -212f81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -49*z**3 + 2*z - 1. Let w be s(1). Let h = w + 80. Let i be 1\/(1\/(-1))*-8. What is the highest common factor of h and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**6\/720 - b**5\/12 - b**4\/6 - 4*b**2. Let l(m) be the second derivative of c(m). Suppose -2*v = -7*v - 25. Give l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18608467 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(13)*4*-1 + sqrt(13))**2)*2 - (-5 + sqrt(208)\/sqrt(4) + sqrt(52) + 1).\nAnswer: -4*sqrt(13) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828824 is divided by 956.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -1084, -1473, -1760, -1945, -2028, -2009?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122320, 489273, 1100862, 1957087, 3057948, 4403445, 5993578?\nAnswer: 7828347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 2681870.\nAnswer: 804561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1082, -1197, -1330, -1487, -1674, -1897, -2162, -2475?\n\"Answer: -w**3 - 3*w**2 - 99*w - 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**3 + 4*m**2 - 8*m - 5. Is x(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 2*k**3 - 3*k**2 + k**2 + 3*k - k**4 - 3*k - 2 in the form h*k**3 + m*k**4 + q*k**2 + t*k + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-6))\/(30\/(-4)). What is the closest to 0.5 in r, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 66. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*z + 45. Suppose 5*x = -5*n + 35, z*x = 4*x + 3*n - 6. Solve r + o - x = 1, -3*r = -2*o - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20758979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/(-3)*9\/(-3). Suppose 0 = -5*j - 0*j + h. Suppose 213*n - 590 = 262. Solve z + n = -5*k, -z - 4*k - j = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112033 (base 9) in base 2?\nAnswer: 10000011000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 27\/(-5))*-5. Let v(s) = -10 + s**2 + 0*s**2 + 2*s + 1 - i*s. What is v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/60 + 11*y**4\/24 + 9*y**3\/2 - 57*y**2. Let v be a(13). What is the smallest value in 0.2, 21, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (120\/36)\/(2\/69). Let p = -68 + u. Suppose -2*r + 3*m + p = 8*m, 12 = 4*m. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-13 - (-7 + (-112)\/21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3221470131?\nAnswer: 3, 11, 17, 5742371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*i = -20*i + 1876. Which is greater: i or -75?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170479\/223722 - -72\/1381. What is the common denominator of -19\/18 and b?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5738, 11452, 17166, 22880, 28594?\nAnswer: 34308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 11116.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d**4 + 54789*d - 8328297 wrt d.\nAnswer: -40*d**3 + 54789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*l + 805*l - 3281 = 333*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/1040*4)\/(-2*(-3)\/24).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*p = -95 - 15, 3*a - 375 = 3*p. Let r = 182 - a. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2 (b) 1.8 (c) -1\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001210011211 (base 3) in base 13?\nAnswer: -2c5a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 879 = -687. Solve -t*k = -145 - 179 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i - 56*i + 234 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 9*p**2 + p - 5. Let o be y(-9). Calculate the lowest common multiple of ((-8)\/28)\/(2\/o) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(9)\/sqrt(3)))**2*-5 - (sqrt(13) + -1*sqrt(13) + -5)*-2 - ((-1 + sqrt(637))*4 + 1 + (sqrt(637) - (sqrt(637) - 1*sqrt(637))) + 5)**2.\nAnswer: -16004 - 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1228, 1556, 2104, 2872?\nAnswer: 3860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 11172?\nAnswer: 11172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 23 - 6)*(-3 - 3*w + 3) + (2*w - 3 + 3)*(39 + 3 + 8).\nAnswer: 76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 585 and 1170?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (118\/4425)\/(2\/(-10)). What is the smallest value in 10, q, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.88 + 105.88. Let h = r + -104. Which is the smallest value? (a) h (b) 0.03 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - (5 + 84\/(-15)). Which is the third biggest value? (a) z (b) -0.05 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 4, 1203 = 3*y + 3*v. Let q = y + -398. Let j = 23\/20 + -7\/5. What is the nearest to j in -2\/5, 2\/3, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 14*r**2 - 3*r + 12. Let d be w(-14). Let o be (-1)\/(-2) + d\/12. Let b(a) = a - 2. Let u be b(6). Solve -u*v - 17 = -o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4093639262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/424 and -55\/4614392?\nAnswer: 4614392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102120201221100211 + -11?\nAnswer: -102120201221100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4. Let q be u + (-4 - -3)*-5. Let h be (1 - 3) + (-1 + q)\/1. Which is smaller: h or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176621, 353227, 529837, 706451, 883069?\nAnswer: 1059691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/4514865 and 26\/4815.\nAnswer: 13544595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -25035 (b) -3 (c) 2\/9 (d) -47 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 116*n - 2. Let w = 48 - 46. Is z(w) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 11*p - 20. Is z(-10) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than 530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + (139 - 129).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1030 + -114?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353 is divided by 343.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -91*(-8)\/(-6)*-3. Let c = n - 173. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - ((sqrt(832) - sqrt(832)*2 - sqrt(832)) + 4))*4*6 + 5)**2 + -1.\nAnswer: -104832*sqrt(13) + 4321368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5250121?\nAnswer: 5250121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919 = -8*x + 847 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/39*2*(-1)\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*c = 107*c - 1717. Calculate the remainder when 6160 is divided by c.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}