diff --git "a/data/dm_maths/full_data_2/236_11255.jsonl" "b/data/dm_maths/full_data_2/236_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/236_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 202665041427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (0 - -48 - 23) - 39?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8121*v**3 + 15*v**2 + 13*v + 8.\nAnswer: 48726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1420 - 950. Let h = 468.7 - x. Which is the second smallest value? (a) h (b) -2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + 1*sqrt(1331) + 4 + sqrt(1331)*-1 - (2*sqrt(1331) + 4 + 2*(sqrt(1331) - (0 + sqrt(1331)))))*-4)**2.\nAnswer: -342336 - 14080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -5233?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97 + 1430?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2207707+-1.1425\nAnswer: -2207708.1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-269000)\/191250 - 7\/(-5) - (-8)\/68?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136996 or 0.1?\nAnswer: -136996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3 - 3. Suppose -2*h - w = -45. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q + 24*q**3 - 3 + 34*q - 23*q**3.\nAnswer: q**3 + 21*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2486066617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*h + 44. Suppose -5*t + 13 + h = 0. Solve 0 = 2*f - 2*u - 3*u + 19, 0 = t*f + u + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48177, -96359, -144541?\nAnswer: -192723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 1. Let d be j(3). Suppose 2*i - 21 = -5*z + 10*z, z - 1 = 3*i. Sort i, 1, d in descending order.\nAnswer: 1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 18*o**2 + 126*o - 833. Let z be c(6). Which is bigger: 1143\/2 or z?\nAnswer: 1143\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/20)\/((-9)\/(-1035)). Suppose 5*i = 0, -5*i + 15 = -4*y - 169. Let v = y + a. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435878 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0468851 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 greater than or equal to -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.56897116 to 3 decimal places.\nAnswer: -5.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3094 + -3091. Let o(m) = -3*m**2 - 4*m + 4. Let j(r) = -r + 1. What is u*j(b) - o(b)?\nAnswer: 3*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.842 - -49.812. Round z to 0 decimal places.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2783046 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056 is divided by 96.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111011011111101001 (base 2) in base 11?\nAnswer: 1518730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/71))\/i**(1\/35) assuming i is positive.\nAnswer: i**(2449\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 446922774*b\/5 + 49934991479963769\/5.\nAnswer: (b - 223461387)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - -5 - (-3 - (-3 - 4)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*n - 4. Let z(g) = g + 3. Let q be z(n). Let j(o) = -o + 1. Determine j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + -10 - 21 - (-6 - 5 - -3). Let a = -5 - -1. What is the closest to y in a, 2\/5, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4401187261.\nAnswer: 4401187261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) 0.5 (c) -4 (d) -387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. What is h in -2 + 3*h**4 - 3*h**4 - 2*h**m + 0*h**4 + 4*h**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiq. What is prob of picking 1 i and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*r**3 - 442*r**2 - 1144*r - 408.\nAnswer: 2*(r - 34)*(r + 2)*(7*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 294?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 4. Let b(p) = 3*p - 7. Let m(i) = 3*b(i) - 5*s(i). Let q(x) = x**2 - 5*x - 2. Calculate 4*m(c) - q(c).\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - -36. Suppose n + 3*i = 18, 2*i = -5*n + n + j. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/7, 1, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/99)\/((-1)\/(-102)). Is -23 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*a**3 - 18*a**3 + 6*a**2 + 5*a - 7*a**3 in the form h*a + r + i*a**3 + b*a**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p + 12. Suppose -y + 5*u + 35 = 0, -2*u + 110 = 2*y - p*u. What is the greatest common factor of y and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 4618?\nAnswer: -461b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 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: Calculate the remainder when 463 is divided by 215.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/65)\/((-67)\/((-5360)\/(-192)))?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f**2 + 4*f + 6. Let k(q) = 37*q**2 - 11*q - 17. Determine -6*k(m) - 17*t(m).\nAnswer: -18*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 143, 220, 315, 434, 583, 768?\n\"Answer: l**3 + 3*l**2 + 61*l + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2047328 divided by -4\nAnswer: -511832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + 13. Let f(s) = -5*s - 14. Let t(x) = 5*f(x) + 6*m(x). Suppose -290 = -444*n + 761 + 2057. Give t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 1, t: 3, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27 = -k, -2*k - 4*h + 2*h + 42 = 0. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -871434187*b + 832713892 wrt b.\nAnswer: -871434187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 28*n**2 + 31*n - 56. Let g be w(13). Suppose -2*s = g*s - 9240. List the prime factors of s.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/5535*-9 + ((-4)\/(-26) - (-6593)\/3198).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*l, 19*x = -5*l + 21*x + 1. Calculate the highest common divisor of 53 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 2*v**3 + 17*v**3 - v**3 + 13*v**3.\nAnswer: 27*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 791, 2671, 6389, 12557, 21787, 34691, 51881?\nAnswer: 73969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/25 - 85\/(-25)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18787 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*k - 56, -h + k = -2 - 6. Let c = h + 18. What is the greatest common factor of 56 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*h + 0*h - 27*h)*(5*h**4 + 2*h**4 - h**4).\nAnswer: -546*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7) + (0 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l, 0 = -2*j - 3*j + 3*l + 20. Suppose 386 = -j*t + 8*t + 5*p, 0 = -5*p + 10. Let d = t + -54. 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: Let i(k) = -3*k - 66. Let p be 49\/(-2) - (-580)\/232. Calculate i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154171 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 81, -5 in decreasing order.\nAnswer: 81, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23205 by 1.\nAnswer: -23205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) + (sqrt(20) + sqrt(180)\/sqrt(9))\/sqrt(10))*6)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -56*c. Let x(o) = 6*o. What is x(n(p))?\nAnswer: -336*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2148599619.\nAnswer: 3, 43, 5551937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -6*q - 194, -528*d + 31 = -q - 529*d for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6127031712 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 116*u**2 - 112*u + 31. Let x be y(59). Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*u - 10*u + 2*u)*(9*u**4 - 35*u**4 + 14*u**4).\nAnswer: 36*u**5 - 48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 936107 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (156\/16)\/((-1)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057 + 37 - (1 - -7)?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -479791, -959576, -1439361?\n\"Answer: -479785*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-1 - (-3)\/2). Let w(u) = 2*u**2 + 59*u + 173. Let t be w(-3). Solve -t*f = -19*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*a = 732*a - 754 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 28.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 5*g - 7, 2*p + 3*g + 14 = 0. Let n(f) be the third derivative of f**5\/60 + 5*f**4\/24 + 5*f**3\/3 - 4*f**2. Is n(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -13.9. Let m be (12\/56)\/((-9)\/24). Is f equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*s + 53313 = -160*s - 497*s for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 - -2) - (89 + -80).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34\/7 in 2\/13, -3, -0.0574, -42, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16537978 to the nearest integer?\nAnswer: 4067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/5 - 114*h**3\/5 + 192*h**2 + 480*h.\nAnswer: 3*h*(h - 20)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*h - 18, 5*k - 4*h + 6*h + 16 = 0. Let w(x) = x**2 - 12*x + 5. Let d be w(11). Let p = 2 + d. Sort p, -1, k in decreasing order.\nAnswer: -1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -14.\nAnswer: -23\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 21 = -12. What is the remainder when n\/12 + 2826\/24 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**4 + 36*g**2 + 13*g - 17384?\nAnswer: 16*g**3 + 72*g + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) - 2*sqrt(7)) - (sqrt(76)\/sqrt(4) + 4)) + -4.\nAnswer: -2*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085*x - 942 = 350*x + 1263 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 1652 + 2124 - 3117 + (-1 - 3 + 0)*(-7*n + 0 + 0) + 4*n - 3*n - 3*n.\nAnswer: 28*n + 659","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + ((-342)\/45 + 8)\/(4\/50).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -53*a + 6009. Let i be k(39). What is the highest common factor of 1168 and i?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*l - 1530 - 10430. Is 459 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 17, -2 in ascending order.\nAnswer: -4, -2, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l + 26 + 5 - 9 + 4*l. Let z(b) = b + 1. Let w(i) = 16*i - 52. Let s be w(6). Determine s*z(a) - 2*c(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + sqrt(204) + (1*sqrt(204) - sqrt(204)) - sqrt(204))*1 - sqrt(204))\/(sqrt(12) - ((sqrt(12) - sqrt(48)*4) + sqrt(12))).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375438789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 771 + -695. Let v(h) = 5*h + 1. Let m be v(1). Suppose -16 = m*a - l. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3*k*z - 159*b**3*z**2 + 4*b**2*k**2*z - 7*b**2*z**2 - 31*b**2 - 2*b*k**2 - b*k*z + 3*k**2*z**2 wrt z?\nAnswer: -318*b**3 - 14*b**2 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 288, 5, 2269?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*x + 3*j + 25, 5*x = -2*j + 32. Suppose 0 = 2*f - x*f + 60. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (88 - 49) - -83 - 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7623356618 to the power of 1\/4, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 10*b**2 + 99*b - 61. Let a be v(16). Sort 3, 29, a, -4 in descending order.\nAnswer: 29, 3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**4 + 143680*n**3 + 39909600*n**2 + 3679470080*n + 112956481280 = 0.\nAnswer: -92, 29012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -734170674 + -29271?\nAnswer: -734199945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202628853.\nAnswer: 3, 7, 3216331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 3*p**2 + 2*p**2)*(4*p - 8*p - 14*p**2 + 5*p).\nAnswer: 28*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:49 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-92)\/(-8))*(-35 + (-5016)\/(-168)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, v: 7}. Give prob of sequence pv.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2\/(-1))*(-9)\/(90\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 32*x**2 - x - 32.\nAnswer: (x - 1)*(x + 1)*(x + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06426160486 rounded to 5 dps?\nAnswer: 0.06426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0 + 0)*(-3 + 4 - 3 + (1 - 1 - 3)*(3 - 1 - 4) + 0 - 1 + 0).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002215362747 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 993, -2, -1, -9 in descending order.\nAnswer: 993, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 5*t - 68 + 28, -2 = t for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 278 = 214. Put u, 1, -16 in decreasing order.\nAnswer: u, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Let z(h) = h - 8 + 4 + 0 + 13*h. Is 7 a factor of z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2\/209 (c) -8 (d) -3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3083 + -0.27828. Round o to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -720477.9 rounded to the nearest 1000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-39 - -24) + -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -248.2 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29659 divided by -428.\nAnswer: 29659\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**3\/6 + 515*p**2\/6 - 2525*p\/6 - 41195\/6 = 0. What is p?\nAnswer: -107, -7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -450?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -32024 and 0.6.\nAnswer: -32023.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/11 - 5746*v\/11 + 348564\/11 = 0 for v.\nAnswer: 62, 2811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-2\/17)*r)*r**(1\/6)*r\/(r*r*r*r\/((r*r**(-4\/9)*r)\/r)*r)*r**(-7) assuming r is positive.\nAnswer: r**(-3109\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 74*-8.238\nAnswer: -609.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293*r**2 - 153*r**2 - 141*r**2 + 466 to b*r**2 + p*r + y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/13 + 8432*j**2\/13 - 10977280*j\/13 + 4546625536\/13.\nAnswer: -2*(j - 2168)*(j - 1024)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + (sqrt(70) - 1*-4*sqrt(70)) + sqrt(70))\/(sqrt(10) + -2*-1*sqrt(10))*-1*-1)**2.\nAnswer: 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*v**3 + 39*v**3 + 0*v**3 + (1 - 2 + 2)*(-v**3 + 0 + 0))*(12*v**2 + 12*v**2 - 11*v**2).\nAnswer: 1677*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -907581, -1815167, -2722753, -3630339?\n\"Answer: -907586*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 2*x - 4. Let q be 1 - (-4 + 8) - 1. What is the tens digit of t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 50836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - y - 34 = -3*y, 3*m + 8 = -2*y. Let s be (-134)\/(-6)*44\/m. Let w = -164 - s. Which is the third biggest value? (a) -4 (b) w (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 28*k**2 + 112*k - 52. Is t(37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01751298 to four decimal places.\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13887 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -11\/6*z**3 + 0 + 2*z**2 + 0*z + 5\/12*z**4. What is the first derivative of l(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-6))\/(n*n**(1\/10)*n)*n**(2\/9)\/n*n**(-2\/3) assuming n is positive.\nAnswer: n**(-769\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*i = -76, -2*i - 8 = -4*l + 88. Let u = 102 - 4. Calculate the least common multiple of u and l.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -30\/7 - 62\/7*f - 4\/7*f**2 = 0?\nAnswer: -15, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2256417*u - 4512834. Give v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12553\/4114 - 12\/2057. What is the common denominator of 113\/108 and v?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-840))\/((-6)\/(-156)) - 6\/((-90)\/(-15))\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 3:22 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:30 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2\/298431, 2\/15, 0.2, 0.1?\nAnswer: -2\/298431","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289398 less than 1794484?\nAnswer: 3083882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (64\/12)\/((-1520)\/(-4845))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3227 in 2\/9, -652, 2\/15, -8?\nAnswer: -652","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/30 + 68*j**2 + 41*j + 1. Let a(y) = 66*y**2 + 25*y. Give a(i(p)).\nAnswer: 264*p**4 + 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 2. Let q be 12\/9 - 156\/9. Let n(u) = 6*u + 10. Suppose -4*f - f + 4*r - 3 = 0, 0 = -5*f - 3*r - 24. Determine f*n(c) + q*g(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3817*b + 610. Let d be p(-30). What is d rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + -34242324?\nAnswer: -34242256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**2\/2 + 2*c + 1. Let o be (-375)\/120 - 1\/(-8). Let x(p) = -p - 1. Calculate o*x(s) - r(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let w(h) = -28*h + 602. What is the remainder when w(21) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 - -0.13?\nAnswer: -600.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 2:02 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16307789, 16307790, 16307791?\n\"Answer: f + 16307788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*r + 662 = -5*s - 308, -9*r = -12*r - 3*s - 0 + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.649 + 1.719. Round o to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38972 bigger than -38972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-34)*(-37723)\/6657?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202263021 (base 7) in base 12?\nAnswer: 3b58950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - 3*b**2 + b**2)*(3*b**2 - 3*b**2 - 2*b**2) + 0*b**4 + 12*b**4 - 2*b**4 to the form g + w*b**3 + f*b + t*b**4 + k*b**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125826 - -4221?\nAnswer: -121605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -8. Let h be 5 - (-6)\/a - 1. Factor -3*o**h - 3*o**2 + 4*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56045993 less than or equal to -56045987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 6*f - 3*f)*(-6 + 1 + 3)*((-1 - 2 + 5)*(1 + 2 - 1) + (254 - 176 - 175)*(4 - 1 - 1)) in the form r + q*f and give q.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 6*t - 27. Calculate the remainder when y(9) is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**3 + 7550*g**2 - 7585*g - 45330 = 0.\nAnswer: -1511, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k**2 - 8*k + 10. Give q(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 18*u**2 - 3*u. Determine d(18).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6011 + 6011.4. Put -2, i, -4, -32 in ascending order.\nAnswer: -32, -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/10 + (-62)\/(-70) - 0. Put g, -0.4, 7, 6\/5 in descending order.\nAnswer: 7, 6\/5, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let x = -87 - -87. Suppose x = 5*i - 4*o + 5*o + 5, 0 = 4*o. Which is the closest to n? (a) i (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 42. What is the lowest common multiple of b and (-4)\/(-3)*6\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1168, -1172, -1176?\n\"Answer: -4*y - 1164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12 - 32 = -4*v, -32 = -4*a - 4*v. Let s(k) = -a*k - 7 + 7 - 97*k. Let z(n) = -2*n**2. Give z(s(y)).\nAnswer: -23762*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18*-15*(-4)\/40)\/(57\/(-95))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86438?\nAnswer: 2, 11, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3) - 33\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664400 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z - 6. What is the tens digit of b(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 7*m**2 - 13*m + 9. Let a be v(4). Suppose -a*d + 16*d = 5665. What are the prime factors of d?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3) + 2)\/(30\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 36, -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16536, -66106, -148722, -264390, -413116, -594906?\nAnswer: -809766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218 + 122. Let w = 4388 - 4483.9. Let k = w - m. Which is the biggest value? (a) -5 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-4))\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**3 - 1 + 7*z**3 + 1.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 72.2?\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z - 361. Let x be o(-24). Are x and -1\/3082 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*f**2*i**2 - f**2*r + 2*f*i**2*r - 48*i**2*r + 4*i**2 wrt f?\nAnswer: 450*i**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 640\/1120*(-7)\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -15 + 3. Suppose 2*w - 15 = -g*w. Calculate the remainder when 7 is divided by 2\/2 + (5 - w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94131904541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -25, -y = -3*w + 4*y - 343. Let m = 153 + w. What is the remainder when 138 is divided by m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**2 + j - 4. What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 40*y - 137*y - 1 + 102*y. Let s = -4 + 4. Let u(n) = 0*n + s*n + n. What is p(v) - 6*u(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4537 from 42347.\nAnswer: 42348.4537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -29\/2334 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-72)\/16)*4\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 1. Let y(z) = 6*z**3 - 3*z + 13. Give -5*k(o) - y(o).\nAnswer: -o**3 + 3*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 488252520 and 12600?\nAnswer: 2441262600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Let q = a - -5. Let n = 2 + q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1 + 203501\/(-34089)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13537, 13549, 13565, 13585?\nAnswer: 13609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - -26) + (8 - 25 - -10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39932, 79895, 119888, 159911, 199964, 240047, 280160?\n\"Answer: 15*f**2 + 39918*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33477488 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**3 + 18*a**2 - 14*a + 21. Let v(o) = 3*o**3 + 6*o**2 - 5*o + 7. Let n(g) = 4*k(g) - 11*v(g). What is the tens digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 8*w**2 - 4. Let k = 47 + -38. Is v(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 4. Let o(d) = -15*d - 21. Let g(y) = -4*o(y) + 21*v(y). Suppose 3*h - 2 = -2*j, -3*j + 0*h + h = -3. Determine g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 4862.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 266 = q. What is the lowest common multiple of 14 and q?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74331 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 3*b - 439, 3*i = b - 141. Suppose 2*a - 19 = b. Let h = a + -42. Calculate the remainder when h is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4734 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: Calculate the remainder when 4619815 is divided by 88.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0 + 8*s**2 + 34*s - 17\/6*s**3. Differentiate f(l) wrt l.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 7*h + 21. Calculate u(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -208, -383, -558, -733, -908, -1083?\n\"Answer: -175*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561916, 561916, 561918, 561922, 561928, 561936, 561946?\nAnswer: 561958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1395 + -20516?\nAnswer: -21911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -68, -101, -130, -155, -176?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112012212001 (base 3) in base 15?\nAnswer: 11059a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1290*54\/(-81)*(-23)\/(184\/(-48))?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z**(-1\/2))**(2\/133)\/(((z*z**3)\/z**5)\/(z**(-2\/9)\/((z\/(((z*z*z**(3\/2)*z)\/z)\/z)*z)\/z))) assuming z is positive.\nAnswer: z**(5507\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2. Let y(v) = -2*v - 4. Let g be y(-2). Let m(i) = -4*i + g*i - 3*i + i. What is s(m(l))?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*w**3 - 50*w**3 + w + 24*w**3 + 0*w + 6 in the form v + s*w**2 + d*w**3 + u*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112101000211221120 + -10?\nAnswer: 1112101000211221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from uuphhpphhuuhphpphn.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40909 is divided by 8138?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 10*h - 11. Let v be f(7). What is the highest common divisor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15525208.\nAnswer: 2, 29, 66919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 55 - 9 = -2*o, 0 = 2*o - 2*c + 36. Suppose v - 87 = -2*v - f, 5*f = 2*v - 41. Let w = v + o. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (11 - 0 - (836 + -815)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + (sqrt(320) - (sqrt(320) - (sqrt(320) - (sqrt(320) - (sqrt(320) - (0 + sqrt(320) - sqrt(320))))))))*-4*4)**2.\nAnswer: 12288*sqrt(5) + 84222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58881*m**3\/4 + 12070599*m**2\/4 - 8920164*m - 909 = 0. What is m?\nAnswer: -2\/19627, 3, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 + 8*n + 8. Calculate the least common multiple of 30 and o(-1).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-87)\/18 - (-20 - -15))*3126 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12871075\/51 or -252373?\nAnswer: -252373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 0*m + (-4 + 1 + 1)*(5 - 2*m - 5))*(3*m**2 - 4*m**2 - 6*m**2).\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300101012 + 23?\nAnswer: -2300100323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5734, -11587, -17448, -23317?\n\"Answer: -4*o**2 - 5841*o + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2057 and 14641?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*l - 1312 + 19*l + 1316)*(-9 + 4 + 0 + 2*l**4).\nAnswer: 84*l**5 + 8*l**4 - 210*l - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**3 - 29*z - 21*z + 43*z. Let c(y) = -3*y**3 - 10*y. Let x(t) = -5*c(t) + 7*q(t). Let o(n) be the second derivative of x(n). Give o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 18. Let j be 2\/(-9)*18\/h. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {n: 1, p: 1, h: 2, w: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*m - 385 + 385 to r + v*m and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718455.19 take away -5003?\nAnswer: 1723458.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 2*w**2 - 3*w - 2. Suppose 2*x + 8 = -2*x. List the prime factors of v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7009 + -7008.9. Which is the closest to -2\/7? (a) -11\/15 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(16)\/sqrt(72) - sqrt(2)).\nAnswer: -4 - 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 - 190448*v**4 - 952340*v**3.\nAnswer: 4*v**3*(v - 47617)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1537374*y + 933634?\nAnswer: 1537374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*l + 45 = 0, -2*t - 87 = 253*l - 240*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 467927488 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:04 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252419 is divided by 278?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) - (sqrt(17)*2 + -2) - sqrt(17) - 3*2*sqrt(17)) + (sqrt(272)*-2*-4*-1)**2.\nAnswer: -8*sqrt(17) + 17406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 128, 305, 544, 839, 1184, 1573, 2000?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 51. Suppose z*q + 10*q = 690. Let x = q - 62. Calculate the lowest common multiple of x and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let d(q) = -5*q + 16. Let z(u) = -d(u) + s(u). Let p be z(13). Suppose 67 = -p*m + 49*m. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 + 28*r**3\/3 - 25*r**2\/3 - 18*r.\nAnswer: -r*(r - 27)*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/202 - -333\/404. Determine c so that 3\/2*c**2 - 3\/8*c**3 - 15\/8*c + g = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + x. Let f(z) = -9*z**2 + 8*z + 32. Let s(r) = -f(r) + 4*t(r). Factor s(d).\nAnswer: (d - 8)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k - 16*k + 34*k - 1326 - 361 - 9*k to the form x*k + g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21*u. What is the tens digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33527?\nAnswer: 13, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.997 - -0.347. Let h = -1.1 - -22.1. Let u = g + h. Round u to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 1. Let t(f) = f**2 + 4*f + 31. Let d(b) = -5*q(b) + t(b). Let a be d(-8). Calculate the highest common divisor of 70 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 2 y when four letters picked without replacement from {r: 3, k: 1, y: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 269444 <= 269450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 25. Let h = 0 + 14. Let a be i(h). Solve 3 = a*p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 40*k**3 - 16*k**2 - 630. Let m(s) = -27*s**3 + 11*s**2 + 420. Let w be (4 - -1) + -2 + -8. Let d(h) = w*f(h) - 7*m(h). Differentiate d(q) wrt q.\nAnswer: -33*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - (0 - 0 - -5) - -15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 57*t + 33*t - 71*t + 59*t. Let k(x) = x. Calculate r(k(i)).\nAnswer: 78*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 - 6*o - 4. Let n be r(7). Suppose 339 = -0*d + n*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.78 - -24. Let v = -0.08 + 0. Let d = n - v. What is the nearest to 0.1 in -0.4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -65456629.8755.\nAnswer: -65456629.8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {m: 1, j: 3, p: 1, x: 4, c: 7, q: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 131. Let y(l) = -30*l**2. Calculate y(q(r)).\nAnswer: -270*r**2 - 23580*r - 514830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 10011120212200210?\nAnswer: -10011120212200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*o + 1906 - 5452 = 5100 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150968489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4666 - -10187. Suppose -6*i = -z + 355. Suppose -6*d - d = -i. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 - 14.4. Let t = v - -8. Let j = -3.7 - -4. Which is the nearest to -1? (a) t (b) 1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 2*y - 13. Let o be r(7). Let m = o + 1377\/11. What is the closest to -1 in 0, 0.2, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37803 and 189017\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187745.\nAnswer: 5, 37549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -18. Let n = -23 - -37. Calculate the lowest common multiple of n and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -4. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 163, 157, 151, 145, 139?\n\"Answer: -6*x + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0325412 rounded to five dps?\nAnswer: -0.03254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50526.713 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {i: 2, o: 8, v: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -1682?\nAnswer: -52\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:03 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 1674578.082.\nAnswer: 1674578.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2 + 2*m - 3 + 2 + m. Let t be b(2). Let f(x) = 11 - t - 4 - 3 + x. Determine f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = i - 6, -5*f + 2*i + 10 = 0. Suppose 0 = w + f. List the prime factors of 0\/(-3 - w) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*h + 221*h + 192*h = 28160 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(3\/19)\/(m**(-10)*m**5))**25 assuming m is positive.\nAnswer: m**(2400\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y + 2. Let g(s) = s**2 + s + 3. Calculate the remainder when g(-4) is divided by a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306 - -3?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.49 times -13591?\nAnswer: 183342.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -272212, -544324, -816436?\n\"Answer: -272112*a - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 50*i - 218. Give y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.7 + -36. Let a = -26 - n. What is the smallest value in a, 2\/15, 0.5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*x + 5 = 0, 2*x + 24 = -3*i + 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 5117\nAnswer: 20468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1540 = -2*r + 13*r. Let c = r - -573. List the prime factors of c.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.4. Let o be ((-3)\/22)\/((-3)\/4). Let k be (-12)\/(-8)*24\/126. Which is the smallest value? (a) k (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a1998 - 3?\nAnswer: a1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4811, -4851, -4891?\n\"Answer: -40*x - 4771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 5*c**2 - 3*c - 12. What is the remainder when 14 is divided by o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2378 - 23781\/10. What is the third smallest value in -31\/4, -5, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.603284 micrograms in tonnes?\nAnswer: 0.000000000006603284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4740854 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -126*y**5 - 498*y**2 + 462*y. Differentiate k(a) with respect to a.\nAnswer: -7560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104))\/(6*sqrt(4)\/sqrt(2)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.0642, 1\/2, 3, -5, -4, 0.17, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7923693 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**6\/160 + h**5\/40 + h**4\/32 - h**3\/4 - h**2 - 2. Let y(g) be the second derivative of j(g). Factor y(w).\nAnswer: -3*(w - 2)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, -7, -46.\nAnswer: -46, -7, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/120 + m**4\/24 + 11*m**3\/3 + m**2. Calculate the least common multiple of v(0) and (-37)\/(-3) - (-2)\/(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/4 - 53*x\/2 - 2665\/4 = 0 for x.\nAnswer: -65, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 3281110?\nAnswer: 3281110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117385 is divided by 1011?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) -5\/2 (c) -0.4 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 1625.\nAnswer: 59\/1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 i when three letters picked without replacement from ytitiaytytiyy?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/120 + b**5\/60 - b**3\/3 + 3*b**2. Let j be c(-2). Let y = 10 + j. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/11 + 228*r**4\/11.\nAnswer: -2*r**4*(r - 114)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 18. Solve 2*k - 4*v = 0, -3*v = -3*k - j*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/33)\/(-3) - (-144)\/66. Suppose -4*g + x*g = 454. Let k = -47 - g. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3\/33) - (-25 - -25). Suppose -p + 836 = 5*q, -z*q - 3248 = -4*p - 7*q. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -5 - (-5 + 6). Let z(m) be the third derivative of -m**5\/60 + m**4\/8 - m**3\/2 - m**2. Determine z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -465337 + 125?\nAnswer: -465212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 315, 701, 1449, 2679, 4511, 7065, 10461?\nAnswer: 14819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*d**2 + 41850942887 - 41850942887.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5933 - -5931. Put 1, 3, -3, n, 6 in increasing order.\nAnswer: -3, n, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -359287.61\nAnswer: -179643.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*z - 84 = 216*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x = 4. Let i(r) = 6*r**2 + 5*r**2 - 7*r**2 - 1 - 4*r + 4 + 0*r - r**3. Calculate i(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 3*s + 4*n, 15*n - 25 = 10*n for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.5 + 20. Let r = u + -9. Let p = 0.4 + 1.6. What is the closest to -0.1 in p, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4 - 1.6. Let j = v - -3. Let f = 18 - 16. Which is the biggest value? (a) f (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 3*sqrt(77))*5 + (sqrt(77) - (sqrt(77) - -3*4*sqrt(77) - sqrt(77))))\/(sqrt(77)\/(sqrt(49)\/sqrt(28))*-1).\nAnswer: 21*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129380, 258760, 388140, 517520?\nAnswer: 646900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*r, -4*g - 8 + 3 = 5*r. Solve 2*o - g = 7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 k when four letters picked without replacement from {z: 5, k: 5, y: 2, g: 1, s: 1, d: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*t + 1190 = 1084*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 11756?\nAnswer: -11771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*l + 6*l - 520, 0 = -2*v. Suppose 0 = 9*p - 7*p - l. Let m = 49 - 16. Calculate the remainder when p is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 17. Let b = -0.8 + 1. What is the closest to 2\/3 in o, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-116) + 9\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483228975 divided by 296645795?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10104848179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*r = 142*r + 4*y - 161, 3 = -3*y. Is r smaller than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 - 7128*l**3\/5 + 9948*l**2\/5 - 568*l = 0. What is l?\nAnswer: 0, 2\/5, 1, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 252 = 10*c. Let n = c - -108. Round n to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10523.137 and -10.\nAnswer: 105231.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 62, 136, 240, 374?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - l**2 + 165. Let i be a(0). Let q = -30 + 39. Let c(m) = m + 6. Let n be c(q). What is the highest common divisor of n and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 + -5)) + -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**3 - q**2 - 3*q + 3. Let c(d) = -40*d**3 - 6*d**2 - 16*d + 16. Determine 3*c(s) - 16*r(s).\nAnswer: 8*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 9*z - 8. Let t be (-1)\/3 + (-42)\/9. Let n = 1 - t. What is b(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -1.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -98, -199, -350, -557, -826, -1163, -1574?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 + -247. What are the prime factors of q?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, 21708, 4.8, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 11*j + 2. Let q(k) = -2*k**2 + 10*k + 2. Determine -6*l(a) + 7*q(a).\nAnswer: -2*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i - 8. Let l = i - -5. Let j be 2 + (-4 - (l - -1)). Solve -2*s + j - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74.872 + -74.954847. What is f rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642219?\nAnswer: 3, 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from ojoooposssphpi?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2177*f**2 - 16*f - 16. List the prime factors of r(-1).\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22506204 by 803793.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.304 * -417\nAnswer: -543.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 2*b - 2. Let r(q) = 5*q**3 - 13*q**2 - 19*q - 34. Let z(i) = -r(i) - 4*u(i). Let d be z(15). Sort -3\/2, 1, d.\nAnswer: d, -3\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-732)\/((-3782)\/62)*(-56)\/21\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/4867, 2.\nAnswer: -2\/4867, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 102.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 3*g**2. Let r be m(-2). Is (622\/8 - 1)*r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-75)\/(-9) - 8 - (-32316)\/9. Suppose 0 = 6*r + 3*r - j. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e0c (base 16) to base 7.\nAnswer: 13325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, e: 5}. Give prob of sequence ee.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 7 + 8)*(-f - 2*f**4 + f) as i*f**2 + k + x*f**3 + u*f + q*f**4 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1930\/153, -0.1, -5, 3 in ascending order.\nAnswer: -5, -4, -0.1, 3, 1930\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*4 + sqrt(51)\/sqrt(75))**2.\nAnswer: 7497\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -2083*r**5\/60 + 1835*r**3\/6 + 475*r**2. What is the derivative of p(o) wrt o?\nAnswer: -4166*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533612 (base 7) to base 15\nAnswer: 1c665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 5. Let n be h(-4). Let d be (-44)\/126 - 2\/n. Let x(y) = -y - 1. Let t be x(-3). What is the second smallest value in d, t, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 732 and 549.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111 = 160*c - 4560 - 1689 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43019604 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -247\/68?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2\/(-4)*(-8066 + 0\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 13*z + 64, -i + 19*z + 20 = 17*z. Calculate the lowest common multiple of 446 and i.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -65, 2, -4 in decreasing order.\nAnswer: 2, 1, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 10*x - 5. Let o be l(-11). Calculate the greatest common factor of 48 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*x**2 - 28 + 28)*(-4 + 4 + 2*x**3) - 2*x**5 + 2*x**5 - x**5.\nAnswer: 125*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -2 + 0*z - 1\/2*z**2. Let n(u) = -u + 2*u + 3*u - 3*u. Give n(h(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(11\/2)*y*y)\/y**(2\/3))**(-4\/21))**(-37) assuming y is positive.\nAnswer: y**(3034\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-61 - (86 + -228)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*l - 8*l + 3*l)*(48 + l - 87 + 45) as k + v*l**2 + q*l and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/9 + -66*19\/6669\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14249251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2821791*c + 13 - 2821818*c - 6 + (-1 + 1 - 2*c)*(1 + 2 - 2))*(-c - c + 3*c).\nAnswer: -29*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g - 2*g. Let p be (g + 0)*(-1 - 4). Find the third derivative of 3*i - 3*i + 4*i**2 - 2*i**5 - i**p wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91619 is divided by 2082?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2334 - 1.\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.42158 rounded to 1 decimal place?\nAnswer: 95.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81648?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = 4*n, 20 = w + 3*n + n. Solve -u + 3*q - 12 = w, -3 = -3*u - u - 5*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 9*h + 17. Let m be r(2). Suppose 5*v + 4*g + 40 = 0, -g = -3*v + 2*g + m. Let t(j) = -j - 1. Let i be t(-2). Sort v, 3, i in decreasing order.\nAnswer: 3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -512*i + 755*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215*d*l + 55*d + 3 with respect to l.\nAnswer: 215*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -71100 divided by 237\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w*w**(-1))\/w*w*w*w)**(6\/7)*(w*w**(-1\/4))**(8\/5)*w**1*w**2*w*(w\/w**(-3))\/(w*w*w**(3\/8)) assuming w is positive.\nAnswer: w**(3111\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -23*v**4\/4 + 4*v + 31. What is the derivative of r(k) wrt k?\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**3 + 115*g**2 - 21*g + 263. Calculate the remainder when 1495 is divided by y(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (1\/(-7) - (-39)\/(-21)). Suppose -2*l + 206 = 2*a, 4*l - t*a = 3*l + 109. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(8) - sqrt(96)\/(sqrt(12)*-1)))\/(sqrt(72)\/((sqrt(210)\/sqrt(5))\/sqrt(7))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + ((-77)\/22 - (-2)\/4). Let s(b) = -62*b**2 - 14*b - 7. Let m(i) = -32*i**2 - 6*i - 3. Let c(t) = p*s(t) - 5*m(t). Determine c(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290)\/116*(-25)\/(16500\/(-72))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 4*v**4 + v**2 + 3969*v**3 - 2*v**4 - 3968*v**3 to l*v + s*v**4 + r*v**3 + f*v**2 + b and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 78. Let v be d\/(-8) - ((-116)\/(-32) - 4). Solve 0 = -4*m + 3*w - 24, 5*m = -4*w - v + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 48. Let h = 41 - p. Suppose 2*c + 25 = 7*c - 3*m, h = 5*m. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 - 11330*p**3 + 168955*p**2 - 292630*p = 0. What is p?\nAnswer: 0, 2, 13, 2251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22895792567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15*u. Let p(r) = -7*r. Let s(t) = 12*t - 98 - 15*t + 98. Let a(w) = -4*p(w) + 9*s(w). Calculate o(a(i)).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.81748 milliseconds in hours?\nAnswer: 0.0001249493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 19*u**2 + 94*u - 985. Determine j(17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43369488 and 292744044?\nAnswer: 1170976176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (13\/1)\/(4 + -3) - 7144875\/547500\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 divided by -79?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 1, l: 2, r: 2, p: 1}. What is prob of sequence lg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 3*f + 4. Let k be g(2). Solve 0 = 4*v - 1 - 7, 4*d - v = k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202011837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110172 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174302 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (629\/68 - 11) + (-1)\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(5*v + 3*v - 6*v) - v + 0*v - v - 10*v - 2*v - 2*v)*((-5*v + 4*v + 8*v)*(1 - 5 + 0) - 3*v + 2*v - v).\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 149 - 219 = -3*o, -102 = -3*q + 3*o. Solve 54*a - q*a = 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2. Let z be i(-5). Suppose z = -2*f + f + 18. What is the remainder when 28\/(-21) - (-489)\/9 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4043.61 - -4063. Let d = g + -22.1. Round d to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3574796 is divided by 397116.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*h - 2*h = 10, 0 = -z - 4*h - 8. Let g be ((-2)\/12)\/((-12)\/54) + z. Which is the second biggest value? (a) g (b) 0.3 (c) -0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220671455.\nAnswer: 5, 6353, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 24.6666kg?\nAnswer: 24666600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11441, -22821, -34169, -45467, -56697?\nAnswer: -67841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**5 - 17*q**4 - 59*q**3 - 117*q**2 - 108*q - 38. Let c(r) = 2*r**5 + 2*r**4 - r**2 + 1. Let x(i) = 10*c(i) + 5*v(i). Let x(k) = 0. Calculate k.\nAnswer: -6, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -385.81 + 617.615. Let d = c - 231. Round d to two dps.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l - 8*l - l + 12*l. Let b(y) be the first derivative of -y**5\/20 + 19*y**3\/3 + 9. Let q(m) be the third derivative of b(m). Calculate z(q(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**3 + 17*g**2 - 6*g + 3. Let c(x) = 6*x**3 - 16*x**2 + 5*x - 2. Let j(s) = 6*c(s) + 5*k(s). What is the smallest common multiple of j(11) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l**3 + 4*l - 1. Let f(k) = 12*k**3 - 3*k. What is 3*f(d) + 2*n(d)?\nAnswer: 10*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s = 29638 + 35135. List the prime factors of s.\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r**2 + 3. Let d = 1 + -1. Let t be u(d). Let k(f) = -850*f + 1. Let b be k(0). Sort 0, b, t in increasing order.\nAnswer: 0, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4714 or -4766?\nAnswer: -4766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*((0*t + 0*t - 4*t)*(4 - 1 + 5) + (0 - 3 + 1)*(2 - t - 2) - 3*t + 6*t - 2*t).\nAnswer: 87*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrrrkrzrzrzzr. Give prob of picking 3 r.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66138*v**3 - 4653*v**2 wrt v.\nAnswer: 396828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 21*s + 420. What is the highest common factor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -16)*((-14)\/(-6) + -3). Let k be ((-4)\/n)\/(3\/(-15)). Let c(i) = 3 + 427*i - k + i**2 - 424*i. Calculate c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18))**(-26)\/(l*l**(-1\/4)*l**(3\/28)) assuming l is positive.\nAnswer: l**(3270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 7169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 343590 and 6?\nAnswer: 343590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-198) + ((-73)\/(-44) - 3)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.28 + 0.78. Which is the second biggest value? (a) 8 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1.5969868, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 507420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9920453 or 9920425?\nAnswer: 9920453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8570\/(-12) - (-34)\/204. Is 6 a factor of 4 - y\/2 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbb when three letters picked without replacement from bazaaabzzuzxhbuzbhz?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 48 = -2*j. Is 1706\/18 + j\/(-117) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5190 = -4*a - 6*m, -4*a = -5*m + 1089 + 4134. Calculate the remainder when 30 is divided by (-2)\/5 + a\/(-155).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 + -149. What is the nearest to -0.1 in r, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 1 + 5. Suppose 0 = 2*q - 5*c - 6, -2*q = l*q + 3*c - 38. Calculate the least common multiple of q and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2388 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 0 + 1)*(-2*s**2 - 3*s + 3*s + (3 + 0 - 5)*(2*s**2 - 2*s**2 - s**2) + 2*s**2 - 2 + 2) in the form g + z*s + o*s**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -5, -1, 7, 19, 35?\n\"Answer: 2*p**2 - 6*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (5 - 1) + -12 + 21.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019775 rounded to 4 decimal places?\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/13*-2)\/(29*408\/(-12818))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 2}. What is prob of sequence bb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*n**3 + 498*n**3 - 120*n**3 - 128*n**3 - 122*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77192859, 154385717, 231578575, 308771433, 385964291, 463157149?\n\"Answer: 77192858*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 11*n + 6. What is k(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -322, 17, 767, 2 in decreasing order.\nAnswer: 767, 17, 3, 2, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + o = 6*x - 8, -2*o = -5*x + 10. Solve c + x*c + 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 865 and 38104461?\nAnswer: 190522305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758770843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 5480?\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 17217.\nAnswer: -4\/17217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*m - 18. Let g be (-4 - (-148)\/m)*-3. Suppose 5*r + 5*j + 26 - 661 = 0, -r + 121 = 4*j. Calculate the greatest common factor of g and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 658\/3619*6\/(-9)*3\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/100)\/(-8 + 68\/10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*q - 8913 = -14625 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k**(-1\/3)*k)\/(k**(-5)*k*k*(k**(-12)\/k)\/k*k*k*k) assuming k is positive.\nAnswer: k**(173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*a = 12, 2*s - 4*a = -s - 10. Suppose 2*d + s*d = -p + 12, -d + 36 = 3*p. Suppose 0 = 2*f - 4*f + p. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 - 54 = -4*z, -z = f - 21. Let c(k) be the second derivative of 5*k**4\/12 + 3*k**3 + 24*k**2 - 139*k + 2. Is c(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/((-50)\/(-5))*(329 + -3) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1825711 = -3*c + 2*v - 62415, 2*v + 2938828 = 5*c. Let o = -77766 + c. What is o rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1422?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 95403785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28690852, 57381704, 86072556, 114763408, 143454260?\nAnswer: 172145112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8604.75863 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/40 + 91\/84. Which is the nearest to 1? (a) 1 (b) 0.37 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 2. Let x(i) = 5*i**3 - 3*i**2 - 4*i - 3. Let f(b) = 2*h(b) - x(b). Suppose -3*t + 6 = -3*p, 22 = p + 3*t + 4. Calculate f(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*2*-4)\/(-4*sqrt(36)\/sqrt(3) - 2*sqrt(768))*2.\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-2)\/(-2)*-1721. Let c = o + 13667\/8. Calculate the common denominator of 1 + 9\/(-2)*-3 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: a718b (base 15) to base 3\nAnswer: 222221100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 61. Let l be f(-8). Let g(i) = -10*i - 4. Let m(z) = -1. Determine l*m(j) + g(j).\nAnswer: -10*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4356 and 12150776?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-205)\/(-210)*-2 + 4\/14. What is the second smallest value in y, -10, 6\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/7 - 4*i**3 - 806*i**2\/7 - 632*i - 840 = 0. Calculate i.\nAnswer: -7, -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(5\/1)*698\/(-122150)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.839 + 0.161. Let j = -6 - -4. What is the nearest to -1 in 1, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9339b0 (base 14) to base 15\nAnswer: -681544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 1. Suppose -4*b = -2 - 2. Let g be w(b). Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*f = 22309, -7*i - 7408 = -8*i - 4*f. Suppose 9*l + 1119 = i. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -8, 10\/7, -2\/9, 0.4 in descending order.\nAnswer: 10\/7, 0.4, 1\/7, -2\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/(6\/4))\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Let z(x) = -5*x + 4*x**2 + 5*x + 0*x. Calculate z(j(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -128614*c - 76396718. What is d(-594)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17896304.\nAnswer: 2, 1118519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -26?\nAnswer: 55\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6301710793?\nAnswer: 7, 137, 6571127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1816 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24797 and 5430.\nAnswer: 743910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2463851904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*8.72.\nAnswer: 444.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 8*l**2 + 7. Calculate b(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let r(u) = -63*u**2 + 21 - 68*u**2 - 23*u + 128*u**2 + 23*u. Give p(r(d)).\nAnswer: -9*d**4 + 126*d**2 - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 21*q + 2 - 2*q**2 - 2 - 23*q. Let t be j(-7). Let n = t + -54. Round n to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 657471?\nAnswer: 657475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/26119 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6.04. Let y = 3.04 + m. Let v be (2\/6)\/((-14)\/(-21)). What is the nearest to v in 4\/7, y, 2\/11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 17*u**2 + 17*u + 38. Let r be i(20). Round r to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:38 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 2*t + 4. Let r be v(-2). Suppose -a = 2*k + 17, -57 = -0*a + 5*a - r*k. What is the closest to 0.1 in a, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 = 4*j - b, -2*j - 2*j + 5*b = -860. What is the highest common divisor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841521 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/8 and 107\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**2 - d + 8. Let z(k) = -8*k**2 + 2*k - 9. Determine -5*o(s) - 4*z(s).\nAnswer: -3*s**2 - 3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3 + 58. Suppose -7*v + h*v - 116 = 0. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t - 26*t - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**3 - 2*k**3 - 1188 - 21*k**3 + 603 + 585.\nAnswer: -38*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 33*r**2. Let b(n) be the second derivative of 38 + 0*n**2 - 1\/2*n**3 + 2*n. Determine k(b(l)).\nAnswer: 297*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558165.\nAnswer: 5, 511633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 181681, 364925, 548169, 731413, 914657, 1097901?\n\"Answer: 183244*p - 1563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -421, -627, -833, -1039?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 15) + (-1 - 1). Let u = -50\/3 - o. Which is the closest to u? (a) -0.4 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 10*v - 7. Which is bigger: 37 or v?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74.6 - 43.7. Let q = 18.9 - f. What is the biggest value in 2, -1\/4, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82761471 - 560*v - 82761471.\nAnswer: -560*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/6 + 5*n. Let l(v) = v**3 - 6*v**2 + v - 4. Let b be l(6). Let q(d) = -d - b*d + 4*d. Calculate q(y(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -11, -37, -77?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a - a)*(93*a - 93*a + 16*a**2) + 74*a - 74*a + 10*a**3.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -s. Let o be s + (94\/8 - (-2)\/8). What is the greatest common divisor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4257 to two dps.\nAnswer: 2.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105308 or -105309?\nAnswer: -105308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 42200496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least as big as -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5430*p + 124913. Give f(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2 + 98*n + 202. What is j(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -13.64, 2, -6\/11, -11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 1\/3*h**3 + 17 - 1\/2*h**2 + 0*h. Let b be s(1). Solve 0 = -z - b - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and -336.\nAnswer: -335.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/12 - (1 + -1). Let h(a) be the third derivative of 0 - 1\/8*a**4 + 0*a + 2*a**2 + v*a**3. What is the derivative of h(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**7\/7 + 108*c**5\/5 - 329*c**3\/3 - 370. Find the third derivative of q(z) wrt z.\nAnswer: -120*z**3 + 2592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 134?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150867 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igiiwwziiiiiizgiizw. What is prob of sequence izw?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 11:28 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 1 + 1\/12*d**4 - d + 0*d**3 + 0*d**2. Let i(c) = 26*c - 5. Let h(l) = 13*l - 2. Let t(z) = 5*h(z) - 2*i(z). What is t(s(y))?\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -58*a + 228. Give g(6).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/18 + 1708\/72*8 and 50.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440032488*o**2 - 440032698*o**2 - 2*o + 2*o.\nAnswer: -210*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.03778 (b) -1 (c) -1\/4 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 6021.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39494.8 - -39495. Let j = 0.5 - 1. Which is the third biggest value? (a) g (b) -3 (c) -4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1148 = -404. Suppose -3*m + 5*z = -k, 1287 = 5*m - 2*z - 0*z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -25. Let h = w + 9. Let c = 19.99981 + h. What is c rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -1\/120*s**6 + 0*s**4 + 0 - 7\/60*s**5 + 5\/6*s**3 + 3*s**2 + 0*s. Calculate the lowest common multiple of 3 and a(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42937607*l**3 + 2*l**2 + 184755738 wrt l?\nAnswer: -128812821*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-20))\/(3\/(-2)))\/(-11*10\/(-220))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from {e: 1, q: 11}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.1 (b) 1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 18, 30*i - 103 = -b - 40*i + 52*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 z when three letters picked without replacement from {r: 2, l: 1, s: 1, z: 4, c: 9}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 2*f**2 + 3*f + 2. Let w(t) = -2*t**3 - 3*t**2 + 4*t + 3. Determine 3*q(z) - 2*w(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z - 63*z - 54*z - 53*z - 5 + 233*z.\nAnswer: 15*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13355 is divided by 403.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8146247l in millilitres?\nAnswer: 814.6247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + 2*b**3)*(98*b**2 + 97*b**2 - 100*b**2).\nAnswer: 190*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 241807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -407*q - 17. Let z be m(-3). Let j be -3 + z\/4 + 2. Suppose -t = 0, -2*v - 3*t = t - j. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*i - 22, -4*i = -0*d - 2*d - 14. Solve 2*f - 6 = -2*q + 4, 13 = -d*q + 4*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39694113 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 2*d**5\/25 + 9*d**4\/10 + 2*d**3 - 5*d**2 + 2315. Factor h(b).\nAnswer: 2*b*(b - 1)*(b + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68870539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 45 + 44 = -n, n - y + 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + 334\/3. Suppose 0 = -6*x + 3*x + s. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/13 + -81\/130. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107285893?\nAnswer: 11, 13, 439, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6163 - -67795\/11. Let i = 22 - 15. Which is the closest to t? (a) i (b) 1\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007327472 to six decimal places.\nAnswer: 0.007327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(252))**2 - sqrt(7)) - sqrt(14)\/(sqrt(128)*-1 - sqrt(128) - sqrt(128)).\nAnswer: 265*sqrt(7)\/24 + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 12*h + 2624 = 0 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2. Suppose 2*k + 0*p - 3*p = 22, -32 = -5*k - 4*p. Let y(m) = m**2. Let x(c) = k*y(c) - w(c). Let b(z) = -4*z**2. Determine b(x(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = 2*k. Let y = k - 0. Let c be ((-6)\/(-15)*y)\/(-2). Is -1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 86\/5 (c) 2 (d) -3.2 (e) 0.1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 2*f - 3*f)*(-4 + 603*f - 614*f + 44)*(5 - 1 - 5) as n*f**2 + u + o*f and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 7*v = -2*z - 30, 0 = -4*z - 3*v - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -240*q**2 + 119*q**2 + 121*q**2 + 2*q**3 - 54 to the form m*q**3 + h + l*q + d*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 15*k**2 + 5*k - 46. Calculate a(-14).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from {e: 4, i: 7, c: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/119 + 9\/51. Do -14\/561 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.6944 rounded to zero dps?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbf. Give prob of sequence ffb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1395 or 4?\nAnswer: 1395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) -2 (c) 1 (d) -5 (e) 3\/44 (f) 4 (g) -14\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 936496.1 years in months?\nAnswer: 11237953.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.078, 0.6, 17, 83?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*j**2*s - j**2*z**2 - 301*j*z**2 - j + 9*s*z**2 wrt s?\nAnswer: 41*j**2 + 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r**2 + 46*r**3 - 255*r**2 + 88*r**2 + 16*r**2 + 78*r**2.\nAnswer: 46*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.2. Let t = i - -0.20004. Let x = 0 + t. What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -227\/4 - -56. Let h = -6 - -10. Let q = -6 - -4. Which is the nearest to 0? (a) h (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/57 + 68\/(-76) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 1\/40*b**6 + 1\/20*b**5 + 0*b + 3*b**2 + 0 - 1\/8*b**4 - 1\/2*b**3. Suppose q(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 - 7*t + 13. Let d be g(3). Let a = 57 - d. Differentiate -2 + 4*s + 6*s + a*s - 3 wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 2\/7, -7, 4, 15, 1\/2, 1843?\nAnswer: 1843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 393, 36 in ascending order.\nAnswer: 1, 36, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-90)\/108*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:39 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yluluelrkllyy. What is prob of picking 1 k and 1 l?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 1243.572\nAnswer: -1119.2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13761309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.0527 * 15.9\nAnswer: 16.73793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -573 divided by 191\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 64412978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:29 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 + 29*g + 50*g**2 - 29*g + 46*g**2.\nAnswer: 61*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*y - 39 + 35*y + 11*y - 3270*y**2 + 3273*y**2 = 0. Calculate y.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 0.14 (b) 13629\/8 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/(-6)*6\/(-10). Suppose -4*m + 4*g = -8, -4*m + 3*g = -x + 1. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268672?\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/2 in -0.1, 1\/8, -44, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglhpgwgplgwpp. What is prob of picking 2 l and 1 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-13 - 4) + (31 - -16 - -89)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 + 11*m - 9. Let z be i(8). Find the second derivative of -15*u + 569*u**3 - 595*u**3 - 2*u**4 - z*u wrt u.\nAnswer: -24*u**2 - 156*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85305765 to the nearest 1000000.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + n - 7. What is the remainder when k(-5) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) 3.36 (c) -13 (d) -1159\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 1\/6*g**4 - 7\/120*g**5 + 4\/3*g**3 + 0*g + 1\/240*g**6 + 0 + 12*g**2. Factor v(k).\nAnswer: (k - 4)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/16 - 12*56\/(-63).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1\/6, 0.3, 5, 875, -6 in increasing order.\nAnswer: -6, -1\/6, 2\/17, 0.3, 5, 875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38129 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -1354, -4389, -10254, -19891, -34242, -54249, -80854?\nAnswer: -114999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 3\/5*h**5 + 3 + 0*h**4 + 0*h**2 + 0*h - h**3. What is the third derivative of m(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 48 = -2*z, 3*i = -2*z + 606 - 260 - 298 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 328, 491, 654, 817, 980?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgkp when four letters picked without replacement from {g: 1, k: 3, h: 1, p: 3, w: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Let c = -652 - -649. Let s = 2274 - 2274.17. What is the smallest value in d, s, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 25635828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.053 - -6.947. What is the smallest value in -2\/5, a, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(3*(sqrt(4) + sqrt(16))).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-1)\/(-3))*3 + 0. Let t be -1 - (j - ((-2)\/(-2) - -2)). Suppose 9*x - t*x = 4*n - 2808, 2*n - 1406 = 2*x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-56)*-8)\/((-12)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0692301 - 0.69?\nAnswer: -0.7592301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -24636403 in descending order.\nAnswer: 5, -5, -24636403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*m = 11 + 164, 0 = 2*f - 2*m - 350. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/15 (b) 306\/11 (c) -3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -3\/91 (b) 1 (c) -2\/5 (d) 137\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14267 (base 9) in base 2?\nAnswer: -10010111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzszszszssszszss. What is prob of picking 3 s?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, z: 6, o: 1, k: 3}. Give prob of picking 2 k, 1 o, and 1 b.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/(-2*sqrt(2)*-1))\/((sqrt(40) - sqrt(80)\/sqrt(2)*-3)\/sqrt(5)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 1. Let l = 118 - 117. Calculate g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:13 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*i**3*x**2 - 3*i**3 + 5*i**2*x + 14*i*x**4 - 2*i*x**2 + 3*x + 8 wrt x?\nAnswer: -44*i**3 + 168*i*x**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3134 - -2637. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -110, -196, -298, -422, -574?\n\"Answer: -v**3 + v**2 - 72*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/14235, 2\/21, 0.1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r + 13. Let p(c) = -c + 1. Let k be p(14). Let g(f) = 0*f + 13*f - 4*f - 2*f + 6. Let w(x) = k*g(x) + 6*n(x). Let t(q) = 25*q. Calculate w(t(s)).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g + 1. Let d(b) = 30*b**2 + 4*b + 4. Let i(w) = 3*d(w) - 12*x(w). Let r(u) be the first derivative of 3*u**2\/2 + 5978. Calculate r(i(c)).\nAnswer: 234*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/3 (b) 0.6 (c) -6\/17 (d) -4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - 1)*-1)\/(-1). Suppose -3*s + d + 0*d - 4 = 0, 2*s - 3*d + 12 = y. Suppose l = -s*l + 8. What is the highest common divisor of 72 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910226215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-4 - -8) - -18. Suppose -b + 4*y = 8, y + n = 4*b + 3*y. Solve 2*l - w - 9 = 0, -2*l - b*w - 1 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(396) - (sqrt(396) - 2*sqrt(396))**2 - ((sqrt(99) + -4)**2 + (-2 + sqrt(66)\/sqrt(6))**2))*6.\nAnswer: -3168 + 204*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*v - 53*v + 295 - 2253. Calculate the greatest common factor of v and 6319.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 3 + 0*s**2 - 5*s**2 + 5*s**2 - 14*s. Let u be q(-7). Is u < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 1, j: 2, p: 1, g: 1, h: 1}. What is prob of sequence jth?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 28*v - 65. Let u be x(-5). What is the second smallest value in u, 65, -13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 49*u + 353, 499*l + 4*u + 58 = 505*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8724 rounded to the nearest 100?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4336939?\nAnswer: 41, 139, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -114.7, 4, -3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - h + 304 = h, -250 = -4*w - 5*h. Let t = w + -57. Find the first derivative of 2 + 5*a**t + 5*a**3 + 2*a**3 wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*o**3 + 1580*o**3 + 6042*o**3.\nAnswer: 6787*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q + 15. Suppose q*d - 29 = 226. Suppose j - d = -0*j. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:21 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) 3.36 (c) -3\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i + 5667 = 2157. Calculate the remainder when i is divided by 65.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1872752 * -0.21\nAnswer: 393277.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 38*z**2 - 1379*z + 403. What is q(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 12*n**3 + 27\/2*n**2 + 0 - 3\/2*n**4 + 0*n = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/7, 6\/7, -2\/3, -46?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 18 = o. Let r(m) = m**3 + 7*m**2 + 5*m - 6. Let d be r(o). Let j be (-14)\/(-10) - (-2)\/(-5). Solve d = 4*h - 13 + j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-7 - (0 + -4)) - (-13 + 8) - 52.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1643 + 1656. Let q(c) = 3*c - 2*c - 2*c + 12. Calculate q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from zmqiivzizsvzzzqqsiv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 328468444 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 63, 104, 171, 270, 407, 588?\n\"Answer: t**3 + 4*t**2 + 2*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 4, o: 2}. Give prob of picking 1 o and 2 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -93.08. What is the nearest to -4 in 0.4, 1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 14 = -3*p, 21 - 3 = 5*v - p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -30. Let p(q) be the second derivative of -5*q**3 + 7*q**2\/2 - 7*q - 6. Is p(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 778937063 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151047567.3 + -151151452.202158. Let t = 103885 + r. Let v = t - 0.098. Round v to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 1\/6*s**3 + 0 - 3\/20*s**5 + 0*s**2 - s + 0*s**4. Find the second derivative of n(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = 1. Let t = d + 7. Suppose -t*b + 9*b = 84. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 35 = -11*j. Let k be 3\/(j + 1) - 1. What is the closest to 1\/4 in 1\/4, -1\/7, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i + 20. Determine r(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 15*b - 2*n + 9 = 0, 5*b - n = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*b + 67 - 67)*(2858 + 49*b**3 - 2858 - b**2) to d*b**3 + u + i*b**2 + y*b + z*b**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 304\/3101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 15 (b) 0 (c) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -2, -4, -6, -8, -10?\n\"Answer: -2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h = 2*a - 4, -2*h + 3*a + 13 = 0. Suppose -t = 5*d + 13 - 38, 2*d = -3*t + 23. Calculate the remainder when d is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*d - 557, -3*w - 6*d = -8*d + 547. Let h = w + 188. Let l = 9 - 6. Solve -17 = 4*m - 5, -l*i = -m + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 38. Let p be l\/15 + 4\/(-6). Let b = -2 + 4. Solve p = n - b*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1561*s**3 + 892*s**2 + 892. Let m(c) = 2*c**3 + c**2 + 1. Calculate 4460*m(a) - 5*u(a).\nAnswer: 1115*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1581*m**3 - 3160*m**3 + 36*m + 21*m**2 + 1582*m**3.\nAnswer: 3*m*(m + 3)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436431942 is divided by 4966?\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/20 - l**4\/12 - l**3\/2 + 86*l. Let n = -3 - -5. Suppose n*b + 0 - 6 = 0. Determine h(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.3 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*s**4*t**2 + 305*s**4 - 5*s**2*t - s**2 - 2*s*t**2 + 29*t**2 wrt s?\nAnswer: -648*s*t**2 + 7320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 481 + -7213\/15. Sort -2\/5, 1\/7, w, 0.3 in decreasing order.\nAnswer: 0.3, 1\/7, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -12*q**5\/5 - 71*q**4\/5 + 18*q**3\/5 + 71*q**2\/5 - 6*q\/5 = 0.\nAnswer: -6, -1, 0, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 + 338*w + 427. Determine r(-55).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 230 - 2826. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82110724 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + x - 97, -d + 0*d = 3*x + 29. Find the common denominator of 34\/16 - (-1)\/(-1) and 25\/2 + (-5)\/d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5350, 3835, 2318, 799?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttcttcctctc. What is prob of sequence ccct?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*m + 25, 0*m = -4*m + 2*z + 14. Is 30 a factor of (m\/(-4))\/((-1)\/108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 10. Suppose 0 = -w - u*h - 7980, 30640 = -4*w + h - 1238. Is (w\/(-50))\/((-1)\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 12*u**2 - 11*u - 1. Let j be w(11). Let x be j\/(-6) - 145\/(-30). Put x, 0, -3 in ascending order.\nAnswer: -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356044 + 356061. Let s(p) = 21*p**2 + 2*p - 2. Let g be s(-4). Let u = g - 142. What is the remainder when u is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f851 - 17?\nAnswer: 1f83a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4088640 rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 19. Let o be l(16). Suppose 597 = 3*m - o*a, 3*m - 614 = 4*a - 13. Let s = m - 115. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(1\/24). Let h be 12\/(-63)*(-14)\/j. Let q be 4 - 3 - 4 - -2. Which is bigger: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*g - 56, 0*g + 2*d + 56 = -4*g. Let c = 27 + g. Let h = 89 + -47. What is the remainder when h is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 (base 9) in base 8?\nAnswer: -1714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*n - 16. Suppose 2*g - 4 = g. Suppose y = r + 3*r - 478, -2*r + 232 = -g*y. Calculate the greatest common divisor of n and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*u**2 + 382*u**2 + 3 - 191*u**2)*(-21*u**3 + 21*u**2 - 21*u**2).\nAnswer: -42*u**5 - 63*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 2.8. Let v = 1099\/65 + -264\/13. Which is the third biggest value? (a) v (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -136.999978. What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-15)\/2)*1800\/72\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z - z + 0*z**3 + z**3 + 4*z to k + m*z**3 + s*z + n*z**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - -13. Suppose -5*v - 4*f + 684 = -516, -2*f = 0. Suppose -228 = v*d - 243*d. What is the greatest common factor of b and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.9498 to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 4*g**2 - 40 + 10*g + 4*g**2 + 9*g**2 + 5*g**3 + 6*g**2.\nAnswer: 5*(g - 1)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13e6d8 + -4?\nAnswer: 13e6d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*n - 13, 3*n + 558*x - 556*x - 6 = 0. Solve 10*v = n*v + 36 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:10 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 20*t**3 - 16*t**2 + 20*t + 18.\nAnswer: -2*(t - 1)*(t + 1)**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -202225 - 65?\nAnswer: -202312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210 + 206. Sort w, -2, 1\/15, -1\/4 in descending order.\nAnswer: 1\/15, -1\/4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 2 - (3 - 6). Suppose -2*a + r*a + 6 = 0. Let c be (a - -3) + 0 - -3. Solve 2*v - 6*v - c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4277, 4360, 4625, 5168, 6085?\nAnswer: 7472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 500\/60 - (-4956)\/(-126)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - ((-49 - -31) + 59).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b + 95*b + 2497 = 467 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-148)*5*1*15\/(-25). What is the second biggest value in l, -1, 3.4, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112381 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5034 = -51*t - 3810. What is the highest common factor of 150 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let m be (-2 + 2)\/((-3)\/6*4). Find the second derivative of -5*g**2 - 4*g + 2*g + m*g**w - 4*g**2 wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (1 + -6 - -12)) + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43348, -85743, -127186, -167677, -207216, -245803?\n\"Answer: 476*m**2 - 43823*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/38, -4\/7, 0.24, 33\/4 in decreasing order.\nAnswer: 33\/4, 0.24, -1\/38, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 574261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 22*o**2 - 20*o + 456. Determine v(22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-168) - (0\/(-2) - (-625)\/(-2100)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 37*n + 1816. What is o(-51)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erekrerueeri. What is prob of sequence ku?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 + 5*m. Let h(g) = -14*g**3 + 11*g. Let f(b) = -9*d(b) + 4*h(b). What is the second derivative of f(x) wrt x?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3391794 and 0.157.\nAnswer: -532511.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*390519\/6 + (-52)\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**4 - 171284*k**3 - 248*k**2 + 223 wrt k?\nAnswer: -24*k - 1027704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 4. Let w be v(-3). Let j = w - 5. What is the highest common factor of 24 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35236, 34126, 33016, 31906?\n\"Answer: -1110*j + 36346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*f - 26, 4*a + 17 = 5*f - 21. Let v = -282 + 280. Put f, 3, v, 4 in increasing order.\nAnswer: v, 3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1300)*-3 + 5*sqrt(1300) + 3.\nAnswer: -40*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 3. Let k = -223 - -220. Let h(c) = -c - 7. Let d(r) = 3*r + 29. Let n(l) = 2*d(l) + 9*h(l). Calculate k*n(o) + 5*t(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27890 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 888748 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or -489?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134789066735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 9*n**2 + 17*n + 3. Let p be a(-14). Suppose -8*o + 5*o = -p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*h - 627*h + 41 = -f - 301*h, -f - 28 - 22 = -5*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k - 12. Let c be 28\/16 - 9\/k. What is the tens digit of (-3 + (3 - c))*-13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 116. What is the remainder when p(13) is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/63 in 0.05, 1\/11, -55?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10586507 and -0.07.\nAnswer: -741055.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 470011040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/210 + b**6\/72 - b**5\/2 - 25*b**2. Let n(q) be the third derivative of y(q). Find the first derivative of n(v) wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-11) + (-12)\/(-4). Is 0 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -137. Let t = g - 25. Let u = t + -5. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:18 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 588 = -23*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 5 - (6 + -26)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/210 + f**4\/42 + 5*f**2. Find q, given that g(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**4 + 0*b**4 + 4*b**4 + (-1 + 1 - 2*b**2)*(-3*b**2 + 2*b**2 + 2*b**2) + (-9*b**2 + b**2 - 4*b**2)*(2*b**2 - 4*b**2 - 4*b**2).\nAnswer: 68*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 18*j + 174. Let f be u(-10). Sort 0, 3, f, 2 in decreasing order.\nAnswer: 3, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 495123\/87056 - -1\/10882. Find the common denominator of n and 37\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -2. Suppose 24 = 3*x + v. Suppose 56 = -3*a + x*w, 5*a - w = 3*a - 35. Is a < -35\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -31, -59, -105, -175, -275?\n\"Answer: -k**3 - 9*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5033*h**2 - 8. Let m(l) = -113987384*l**2 - 181188. What is 2*m(d) - 45297*t(d)?\nAnswer: 5033*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - -2c?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 85. Let t(f) = -5*f**2 + 6936. Calculate t(u(r)).\nAnswer: -5*r**4 + 850*r**2 - 29189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 12) to base 10\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801996 divided by -53.\nAnswer: 15132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3084 - 3060. What is the greatest common divisor of c and 8328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -217\/156 + 82\/13. Find the common denominator of b and 2 + 29*(-25)\/120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5963.8219 rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - 1273*q - 2546. Let f be r(-2). Let x(a) = 4*a - 51. Give x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oao when three letters picked without replacement from {l: 5, t: 1, o: 3, i: 1, j: 1, a: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 1225025700?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-5) - 9\/15. Suppose -6*v = -v - n - 32, 3*n + 12 = u*v. Solve -a = -5, -3*a = -4*x - 4*a - v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037391 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*w + 42501, 5*w = -404*n + 402*n + 16992. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677211 is divided by 103?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 26. What is the greatest common factor of q and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2537195.1 and 0.3.\nAnswer: 761158.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(0 + -2)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2. Let z be p(4). Let r be z\/2 - (2 + -3). Suppose 0 = -8*g + 1 + 95. Solve -4*y - 4*t - g = -r, 22 = y - 4*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**2. Let u be 2\/3 + -8 + (-148)\/(-12). Suppose 9*f = 14 - u. Determine m(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 420?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - ((-174)\/198 + 24\/44). Factor -c*o**2 + 1\/3 + 0*o.\nAnswer: -(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -5*c**6\/2 - c**3\/3 + 1877*c**2 - 1352*c. What is the first derivative of x(h) wrt h?\nAnswer: -300*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2\/5, -23 in ascending order.\nAnswer: -23, -1, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 4*n)*(1 - 1 + 2*n**4) - 904*n**4 - 9*n**5 + 903*n**4 + 2 + 10*n**5 - 566*n**3.\nAnswer: -n**5 - n**4 - 566*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**5\/60 + g**4\/6 + g**3\/2 - 4*g**2. Suppose -5*v - 15 + 40 = 0. Let x be w(v). What is the highest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h + 24. Let m be n(6). Let l = 119 + m. Let k be (-1)\/(-4) - 38\/(-8). Put l, 4, k in ascending order.\nAnswer: l, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -8. Calculate the remainder when 27 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 269 - 118. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/8)\/(9\/(-408)). Let d = -36 - g. Let w be (3 + (-18 - 1))\/(-1). What is the highest common factor of d and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.649479 and -5?\nAnswer: 3.247395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b1 + 31b316?\nAnswer: 31b155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -321.21 and 0.06.\nAnswer: -321.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 581802900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -0*b - 4*b. Let l = 22 - b. Calculate the remainder when 10 is divided by 2\/((-4)\/l) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1012\/7, 13112.\nAnswer: -2\/7, 1012\/7, 13112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -38*c - 11. Let x(k) = 3*k - 48. Let y(l) = -7*l + 104. Let j(u) = 13*x(u) + 6*y(u). Determine o(j(m)).\nAnswer: 114*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226909 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from ntrnrcrrrrtrtcttrcr.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -49, -0.06.\nAnswer: -49, -0.06, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 20*y - 63. Calculate h(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - w**3 + 5*w**3 + (3*w**2 - w**2 - 4*w**2)*(-2 + 2*w + 2) + 2 - 2 - 2*w**3 + 12*w**3 - 12*w**3 + 16*w**3 - w + 2*w**3 + w.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07863 (b) -0.5 (c) -1.1 (d) -1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 2*n**2 + 13*n - 5. Give j(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 13 = 4*g, -46*g + 45*g - 1 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 84 = u. Solve -3*a = -l + 7, -3*l + 9 = -u*a + 3*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 28. Let v be t(-12). Let f(h) = h**2 + 7*h + 5. What is f(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54a - -dd?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:44 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(115 + (130 - 244)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 3?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 5, p: 1}. What is prob of picking 2 n, 1 p, and 1 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2095080*-0.0481.\nAnswer: -100773.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 318232211 a multiple of 1877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by -4678.\nAnswer: -82\/2339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 - 584 = -31*k + 939 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o. Let b(h) = 681*h. What is t(b(a))?\nAnswer: -9534*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 4. Let x be n(-4). Suppose d + 2*d = o + x, 0 = -o - 2*d + 9. Let a be 0\/(2\/(-1))*o. Solve 5 = 5*q - a, 0 = -3*f + 2*q + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q - l + 34 = -24*q, -4*l - 8 = -4*q. Sort q, 0, 56 in descending order.\nAnswer: 56, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 1 + 1 + (z**2 - 4*z**2 + 4*z**2)*(-2*z**2 + 3*z**2 - 2*z**2) - z**4 - 2*z**4 + z**4 + 8*z**4 - 3*z**4 - z**4 - 25*z**4 + 2 - 26*z**4 + 35*z**4.\nAnswer: -13*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1969 and -0.2?\nAnswer: -393.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-152)\/(-228) - (-739900)\/12?\nAnswer: 3, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.069 + -2.169. Let z = 1\/10 - 8\/5. Which is the nearest to -1? (a) o (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence off when three letters picked without replacement from fffooooofoffofffoo?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 64*a**2 + 16*a + 3. Suppose -5*f + y - 3*y = -45, 0 = 5*y. Is n(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 47 = -0*r + r, -6 = 3*r. Calculate the remainder when 38 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25409.81 to the nearest one hundred.\nAnswer: -25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382240397.\nAnswer: 3, 97, 4749967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 701.593993 + -0.013993. Let q = a + -699. What is q rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 10*h - 9. Let m = -1 - -4. Suppose 26 = -m*c + 2. What is the remainder when 20 is divided by u(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 0, 3*i + i = 5*x - 105. Suppose 2*p - x = 31. Let h = 26 + -17. Calculate the remainder when p is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 2, l: 1, s: 1, r: 6}. Give prob of sequence rl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 7, 8, 7, 4?\n\"Answer: -r**2 + 6*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83692 is divided by 1902.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9 + (-64)\/(-126). Let c = 2 + 5. Let l = c - 10. What is the closest to -1 in l, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15390 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-49))\/((-20)\/7). Let g = 0 + 0.2. Sort 0.5, c, g in descending order.\nAnswer: 0.5, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 + 15*h**4 - 2 - 2*h**3 - 5*h**3 to o + p*h + z*h**3 + x*h**4 + d*h**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 53*k + 2. Is 13 a factor of i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830566251?\nAnswer: 3, 30761713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 42. Let m be a(21). Suppose -3*i = -r - 1, -i - 2*r - 2*r + 9 = m. What is the lowest common multiple of 28\/8 - i\/2 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -0*n. Let j = -5 - n. Suppose 1 + j = -4*h. Sort -1\/4, h, 3 in decreasing order.\nAnswer: 3, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1726319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 150, 2, 1.\nAnswer: -1, 1, 2, 4, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-350)\/(-84))\/(35\/(-63))*4\/40*48?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/37? (a) 1\/3 (b) -0.1 (c) -2\/11 (d) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1810 and 19\/82443328.\nAnswer: 412216640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 17. Let l(s) = -s**3 + 6*s**2 - 7*s + 16. Let o be l(5). Let m be g(o). What is the greatest common factor of 66 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/4 + 995*z**4\/12 - 1475*z**3\/3 + 980*z**2 + 4434*z - 1. Find w such that v(w) = 0.\nAnswer: 1, 2, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -72. Let n be (-63)\/d*7\/((-21)\/(-184)). Let t be 6\/2 - n\/42. What is the nearest to 1 in -1, t, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 545, 563, 571, 569, 557, 535, 503?\n\"Answer: -5*c**2 + 33*c + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49490 divided by 14.\nAnswer: -3535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, d: 5, k: 2}. What is prob of sequence dkrd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (142\/7)\/(9\/63). Let i = x + -702\/5. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, x: 2, q: 2, m: 1}. What is prob of sequence qqpx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1527\nAnswer: 7\/1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12448001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 26*d - 21. Let w(q) = 5*q - 4. Let m(p) = -2*h(p) + 11*w(p). Let a(k) = -12*k + 290. Let v be a(24). Calculate m(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 222932 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: Express -64*c + 1 - 253*c - 1 as y*c + h and give y.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000503034714 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/25))**(-1\/11))**(-18) assuming q is positive.\nAnswer: q**(486\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 1. Let n be a(2). Suppose 8 = n*v - 5*v. Let l(q) = q**2 - 1 + 0*q - q**3 - 4*q**2 + 4*q. Determine l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 4*d**2 - 2*d**2 - 3 + 2*d**2 as f*d + j*d**3 + w*d**2 + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 1)*(1 - 3). Suppose -22*h - 5*h + 245 = 22*h. Suppose 12 + 2 = 2*m. Solve -s*b - h = 3*z + 26, 3*b = z - m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 48*i**5 + 11*i**2 + 28*i + 11. Let u(b) = -16*b**5 - 4*b**2 - 9*b - 4. Let g(j) = -4*s(j) - 11*u(j). What is the second derivative of g(n) wrt n?\nAnswer: -320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 4, 24, -5, 140, 5 in decreasing order.\nAnswer: 140, 86, 24, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(28 + 16)\/(-1320))\/(1\/(-183))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -6 - (-7 - -10 - (-7 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 5*y**2 + 3*y - 2. Let c be s(-3). Suppose -4*a - 6 = -c*a. Let f = 4 + a. Solve p = 3*p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 12*b**2 - 3*b - 1. Let l be (-81)\/7 + 15\/(-35). Is a(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - 2*l**2 + 7*l + 2. Let h(q) = 3*q**3 + 2*q**2 - 8*q - 3. Give -5*h(w) - 6*m(w).\nAnswer: 3*w**3 + 2*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-755)\/13 - 22\/(-26)*108\/1188?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 28 + 4. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/8 - 4*s**3 + 48*s**2 + 8*s. Factor x(t).\nAnswer: 3*(t - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 13*x - 6 = 2*f, 2*x = 6. Factor 1\/4 + 0*o**2 + 1\/2*o - 1\/4*o**4 - 1\/2*o**f.\nAnswer: -(o - 1)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 7 + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.4. Let r be 7\/3 + (-1)\/3. Let x be 2\/4*(1 - r\/6). Which is the second biggest value? (a) 5 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40174.365 days to weeks.\nAnswer: 5739.195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2. Suppose -3*w - 5 = -s + 2*w, -1 = -4*s + w. Let l(c) = s*c**2 - 3*c**2 + 4*c**2 + c**2. Give n(l(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 782, 691, 516, 257?\n\"Answer: -42*t**2 + 35*t + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0290107 rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*r - 550*d**2 + 38*r wrt r.\nAnswer: 2*d**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -6*y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + n - 70 = 0, 2*x - 48 - 30 = n. Let o = x - 26. Let s = 46 - 45. Solve s = -5*v + a, -o = -3*v + 6*v + 2*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 1 - 1)*(-19*p**2 - 15*p + 15*p) + (3*p - p - 3*p)*(-4*p**2 - 10*p**2 + 6*p**2).\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**2\/2 + 6. Let s(r) = 2*r - 2. Let k(q) = -11*q + 14. Let n(a) = 3*k(a) + 21*s(a). Determine l(n(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14623759465 and -107.\nAnswer: 14623759358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6865, 6860, 6853, 6844, 6833, 6820, 6805?\nAnswer: 6788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -87*d + 18*d. Solve 5*b + 5*i - 6*i = -9, 5*b + d*i = 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*g - 7, -4*w - 4*g + 24 + 32 = 0. Solve -3*o - 8*o - w = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.397549 rounded to the nearest integer?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:51 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sslw when four letters picked without replacement from slwstln?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 1498036?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b672 - b?\nAnswer: -b681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = q - 38. Let t = q - 1. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2889 + -863. Let r(u) = 2063*u**2 - h*u**2 + 6*u + 2*u - 43 - u. Is r(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49978960 divided by 4.\nAnswer: 12494740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1995\/342 + 4 + -9\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 302*j*p**2*r**2 + 354*j*p**2*r - 148360*j*p*r**2 + 25*j*p + j*r + j + 2*p**2*r - 25*p*r wrt r.\nAnswer: 604*j*p**2 - 296720*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2551667 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 39016*g**3 - 128903040*g**2 - 150695607896*g - 21304703995196.\nAnswer: -4*(g + 163)*(g + 3197)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-475)\/(-1330))\/((-225)\/105).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011 - 101?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/19))**(-21)\/(k*k**(-6\/11)*k*k**14) assuming k is positive.\nAnswer: k**(-3461\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 3*d, 3*d = -j - 12 + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 7*o. Suppose -6*u + 1736 - 404 = o. What are the prime factors of u?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2\/3 - 5088*a - 30544\/3 = 0.\nAnswer: -2, 3818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2701589\/156 - 17317. What is the common denominator of 79\/64 and w?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11*u**(-16))\/(u**(1\/11)\/(u\/(u**8\/u*u))) assuming u is positive.\nAnswer: u**(-133\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 3089 + 1164 = -0*n. Put -2, n, 2 in ascending order.\nAnswer: n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -523077 - -523079. Find f, given that -24\/7*f**t - 2\/7*f**3 - 96\/7*f - 128\/7 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.586448 nanograms to grams.\nAnswer: 0.000000005586448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 34, 88, 180, 322, 526, 804, 1168?\nAnswer: 1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:37 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {m: 1, i: 1, o: 1, e: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5264 and 17603192?\nAnswer: 246444688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 - 60741\/1578. Let h = b - 2\/263. Find the common denominator of h and 10\/(-20)*183\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b, -b - 2 = -p + b. Suppose -m + 4*v = -0*m + 14, 0 = -m + v - p. Let l = 3 + m. Solve -3*j = 2*t + t + 3, -l*j + 4*t - 41 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546*v - 42 = -547*v - 5*c, 0 = c - 3. What is the remainder when 3096 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -41 (c) 3\/113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) + 58\/261. Put 0.05, n, -5 in descending order.\nAnswer: 0.05, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142505 divided by -1142505?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 4 + 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 14. Let y(w) be the third derivative of -5*w**4\/12 - w**3\/6 + 4*w**2. What are the prime factors of y(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*4\/6192*10*5. Let q = 3\/43 - p. Which is the second smallest value? (a) 0.5 (b) 1 (c) 2\/7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(75) - sqrt(3)))*3.\nAnswer: 9 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9356084, -9356078, -9356072, -9356066, -9356060, -9356054?\nAnswer: -9356048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/4973 (b) -0.4 (c) -1561\/2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.562 and -5.\nAnswer: 32.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 + 38*a**2 + 23*a - 139. Give z(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - (sqrt(224) + sqrt(224)*-2))*1)\/sqrt(8).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*x - 7, -5*j + 2*x + 8 = -3. Let b(y) = -y**2 - j + 6*y**2 - 10*y + 8. Is b(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 84224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*y**3 - 3*y**2 + 152*y - 103499.\nAnswer: -57*y**2 - 6*y + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318072 + 1.5.\nAnswer: -318070.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4 + (0 + 3 - 5)*(1 + 2 - 5))*(6 - 6 + 4*l).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 6736 - 6736.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -16*s**2 - 1383*s + 2. Let h(g) = -2*g**2 - 2*g. Give -7*h(k) + u(k).\nAnswer: -2*k**2 - 1369*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h - 167. Let v be l(23). Solve 0 = -0*a + 8*a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.109204 + 106.890796. Let j = -0.2 - -0.3. What is the second smallest value in j, u, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -21. Let m = 34 + s. Factor i**5 + 0*i**5 - m*i**5.\nAnswer: -i**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -4 + -4 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/259)\/(2\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 778905564 and 786?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n + 1. Let t(x) = -5*x**2 - 8*x + 11. Let c(k) = -4*a(k) - t(k). Let v(i) = 6*i**3 - 2*i**2 - i. Let s be v(-1). Does 6 divide c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.003km to nanometers.\nAnswer: 774003000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41676721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98064 = -144*z - 1899*z for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/sqrt(2) + 5)*-4)**2 + (-5 + sqrt(539)*-1 - sqrt(539))**2.\nAnswer: 300*sqrt(11) + 2757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let x(l) = -l**2. Let t(f) = -6*d(f) - 2*x(f). Let k(w) = 2*w**2. What is t(k(b))?\nAnswer: 56*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 5*c = 116. Let w(m) = -m**2 + 0*m + 6 + m + 0*m - c*m. Let t = -18 + 13. Calculate w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1345 - 2223466?\nAnswer: -2225144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 5)*((-286)\/273)\/(-22)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpcgo. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 18*g**2 - g**2 + 6.\nAnswer: 17*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*w, w + 219 = 3*v - 0*w. What is the greatest common factor of v and 1961?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*2\/(-2 + 4). Let f = d + -2. Sort f, -1\/3, 2\/7 in ascending order.\nAnswer: f, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 11) to base 6\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.41\nAnswer: -1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**4\/4 - i**3 + i**2 + 3*i + 11. Let w be m(-3). Let a be (2 - w)*2\/(-4)*2. Put 1, 38, a in decreasing order.\nAnswer: 38, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135.30601 to 1 dp.\nAnswer: -135.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + i + 10 = 0, -4*d + 0*i - 4 = -i. What is the closest to d in -2, 2\/5, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-120))\/((-2)\/(-5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + 4 - (16 - 35).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(-v + 3*v - v) + v + 2*v - 2*v)*(-v**2 - v**2 - 2*v**2).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -7. Let p = -6 + f. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13 + 16\/(-4) + 13. Let s be -19 - -23 - 3\/(15\/23). What is the closest to 8 in c, -2, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 6*a + 9. Let o be r(7). Suppose -5*z - 3*g + 4 = -13, 5*z = -4*g + 16. Let m(f) = f - 2. Let i be m(5). Solve -i*h = -z*h + o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16656)\/(-2429)*14\/(-4) - 5\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 + 4707442*o**2 + 1882976*o = 0.\nAnswer: -941488, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -4 (c) 2 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -21, 3, -15\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -5*s**3\/6 - 3*s**2 - 2072*s. Let m(b) = -51*b. Calculate m(a(l)).\nAnswer: 255*l + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = 6*l. Suppose -2*c + f + 3 = -l, -3*c = 4*f - 31. Suppose c*d - 1256631 - 473369 = 0. What is d rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -926.1137477 + 1008.165569635. Let p = 419.051817745 - a. Let o = -337 + p. What is o rounded to seven dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, -126, -2, 34, -3, 5 in increasing order.\nAnswer: -126, -3, -2, -1, 5, 29, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288 + 167 + 16*a - 359)*(2 + 0 + 0).\nAnswer: 32*a + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81711 and 308.\nAnswer: 3595284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 337315416.72 and 3.\nAnswer: 337315419.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 224*i + 2811. Give h(-15).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -7.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 16) in base 9?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, w: 2}. Give prob of sequence eeew.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enenlennneeleenbelnl. What is prob of picking 3 l and 1 e?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 681*o + 248724.\nAnswer: -3*(o - 423)*(o + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 + 472. Let k = -692 - -705. Calculate the highest common divisor of k and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*p**2 - 56*p**4 + 108*p**4 + 2*p**3 - 55*p**4 - p**3 + 50*p**2 to o*p + q*p**3 + x + h*p**2 + s*p**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 4)*(3 + 4 - 3)*((2 + 0 - 4)*(-3*c + 3*c - 5*c) + 4 + 2*c - 4) to s + b*c and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178290 and 441630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -106.4. Let a = i - -7.456. What is a rounded to three dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -27 - (9 - (-10 - -16)) - (12 - 2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + (-2 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27303305, 27303306, 27303307, 27303308, 27303309?\nAnswer: 27303310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35848659*x + 3821457 wrt x?\nAnswer: 35848659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1825615\/23 - -79358. Let s = v + 1119\/230. Let f = 272\/21 + -305\/63. Find the common denominator of f and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by 192.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78080*g + 77976*g = 6656 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 7*m - 7. Let c be s(-5). Suppose -c*x + 7 = 1. Calculate the least common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01928067368 rounded to six dps?\nAnswer: 0.019281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4670*f**2. Let y(g) = 3*g**2. Determine y(p(r)).\nAnswer: 65426700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 61*x - 35319 = 640*x for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25154 + 646.74846. Sort -5, n, -0.2, 1 in decreasing order.\nAnswer: n, 1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/19 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-26)\/a*a*a**(-10)*a*a*a)\/(a**(10\/7))**(-17) assuming a is positive.\nAnswer: a**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 + 4. Let t(m) = 6*m**2 + 3. Let s(k) = 5*q(k) - 6*t(k). Let v be s(0). Suppose p = -v*p + 99. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Suppose -2*b + 118 = -4*u - 4*b, 0 = 3*u - 5*b + 95. Let v = u + 35. Let j(r) = -2*r - 8*r - 4*r + v*r. Determine j(i(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -463 + 211. Let j be 3\/(-5) - z\/20. Let o be (8\/j)\/((-2)\/(-15)). What is the biggest value in o, 2, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618138 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 2, u: 1, o: 2, z: 1, k: 1}. Give prob of picking 1 o, 1 j, and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6717 is divided by 1087?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-396)*63*(-4)\/301?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-7\/2))\/v)*v*v)\/v*(((v*v*v\/v**(3\/11))\/v*v)\/v)\/v assuming v is positive.\nAnswer: v**(137\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408941?\nAnswer: 13, 83, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 1887?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2552 and 23144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 10 (b) 1252 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5048, 5032, 5006, 4970, 4924, 4868, 4802?\nAnswer: 4726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -677088*p + 679502?\nAnswer: -677088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 607804 and 11092.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 130 - 37 = 0. Let b be (-27 + f)*((-6)\/(-4))\/3. Solve 4*y - 3*h + 14 = 0, 0*h + 9 = -y - b*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1480*d**3 + 1339*d?\nAnswer: -8880*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.245753 years in centuries?\nAnswer: 0.00245753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c - 2. Let y(a) = 6*a + 1. Let x(z) = -z**2 + 9*z + 6. Let k be x(9). Let w be (15\/(-6))\/(k\/12). Let r = w - -14. Give r*y(t) + 4*o(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {a: 7, t: 6, b: 1, w: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020\/177611 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651280604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125260460 or 125260463?\nAnswer: 125260463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a century in decades?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + u - 4 = 4*g, -8 = -g - 2*u. Let r(s) = g*s + 5 - 6 - 2*s. Let i(a) be the second derivative of -2*a**3\/3 - a**2 - a. Give 4*i(m) - 9*r(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 54356760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 2. Let a be t(0). Let v(u) = 4*u - 1 + u**a + 2*u + 2. Let o be v(-6). Sort 4, -5, o in increasing order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(187) + (-1*((sqrt(187) - sqrt(187)*4) + sqrt(187)) + sqrt(187) - sqrt(187)) + sqrt(187)))\/(-6*-3*sqrt(539)))**2.\nAnswer: 68\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/131? (a) -4 (b) 1.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 67.4.\nAnswer: 0.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 2 (c) 12256 (d) -2 (e) -1.5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b - 5. Let p be l(5). Suppose -16 = -2*n + 2*f, p = -n - 2*f + f + 12. Is (-485)\/(-25) + (-4)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 5*a**2 - 5*a + 17. Let l be u(3). What is l rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 144 = 48*a. Sort 18, -5, a, -1 in increasing order.\nAnswer: -5, a, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 3*b + 93 - 2*b - 94. Calculate j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 12*s - 3. Suppose 2*t = -2*t - 16, -s*t = 3*x - 156. Calculate the greatest common factor of 168 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 0*g + 4*g**2 - 2 + 2*g. What is the remainder when 40 is divided by p(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3 (c) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4364*i**5 - 3*i**3 + 3278*i**2 + 5.\nAnswer: -261840*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - 5*x**2 - 3*x - 4. Let k be r(4). Let a(u) = u**3 + 14*u**2 + 29*u + 422. Let o be a(-14). Calculate the highest common divisor of k and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -3*b. Let k(g) = b + 4*g + 0*g + 0*g - 2*g. Give k(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/95 + 81\/665. Which is the biggest value? (a) o (b) -0.06 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227\/345 - -4\/69. Put q, 0.7, -2, 1\/4, 0.1 in increasing order.\nAnswer: -2, q, 0.1, 1\/4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 1. Let v(s) = s**2 - 2*s + 1. Let x be v(0). Is x at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326446831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4160 divided by 13\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11552 - 11570 - (3 + -34 + 3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406510 divided by 81302?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1131652*p - 624087?\nAnswer: -1131652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/9)\/(i*i**6*i))\/(i*i**2*i**9) assuming i is positive.\nAnswer: i**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 2274*c + 69696.\nAnswer: 3*(c - 726)*(c - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-39)\/(-15))*10. What is the second derivative of -3*d - 4*d - 19*d**2 - z*d**2 + 2*d wrt d?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 4*r**3 + 3*r**3)*(-9 + 2 - 6).\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/6*(-3)\/6*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32150 + -17?\nAnswer: -32167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -59*r - 271. Is o(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-25)\/(625\/25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 27*p**2 + 90*p + 51. Let b be h(23). Let w(o) = o**2 - 2. Let r be w(-2). Solve 0 = b*m - r*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 + (-6)\/9. Let y be (4\/(-24))\/(h\/2). Let v = 4.8991 - 1.8991. Sort 12, v, y, -0.2 in increasing order.\nAnswer: -0.2, y, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d - 5. Let h(a) = -1. Determine -2*h(q) - x(q).\nAnswer: 9*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 - 3*z**4\/8 - 5*z**3\/3 + 2*z**2. What is the least common multiple of v(-7) and (-6161)\/(-303) + -1*1\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*j = -3*h + 650*j - 88, 6*h = -4*j - 190 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 240101738, 480203474, 720305210?\n\"Answer: 240101736*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-144)\/(-10))\/(-9))\/((-70)\/(-25)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*h - 29*h**2 + 33*h + 40*h**2.\nAnswer: 11*h**2 - 170*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 22. Suppose -2*n - g = -7*n. Suppose 0 = 2*k + 2*c - 338, 0 = -n*k + 2*c + 146 + 188. Calculate the greatest common factor of k and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.15 - 57. Let s = g - 0.15. Which is the nearest to s? (a) -0.4 (b) -0.2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 3*u - 2. Let k be v(1). Let g be (-10)\/(-3)*(-3)\/(-2). Suppose 2*p = f - k*p + 9, 0 = 5*f - g*p + 25. Which is smaller: 1\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813799607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q. Let o(c) be the third derivative of 7*c**4\/12 + 11*c**2. What is y(o(j))?\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 11 + -32 - 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) - 60\/14. Let q be -4 - -1 - (-1)\/(-8)*4. Is l < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241\/3 - -81. Which is the second smallest value? (a) z (b) -2\/3 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5993284*f**4 - 4*f**3 + 84391177*f**2.\nAnswer: 143838816*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070 is divided by 465.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1677622 divided by 4?\nAnswer: -838811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -9903.136.\nAnswer: -9902.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(158*n - 6426 + 6426)*(13 + 4 - 7) as o*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.073 + 0.073. Let b = 0.6 + -0.2. What is the nearest to a in b, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390753 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35716291 divided by 1?\nAnswer: -35716291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 - 2943*g + 5898 = 0. What is g?\nAnswer: -983, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -5, -6\/13, -1\/2, -2\/33, 0.2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6925966, 6925964, 6925962?\n\"Answer: -2*d + 6925968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13771 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -32*j**2 - 840*j - j**3 + 42 + 28 + 875*j. Let f be w(-33). Solve f*l + 20 = 0, 0 = -4*m - l + 15 - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 14. Let m be w(9). Suppose -36 = -m*c + c. Solve -f = c*j + 15 - 1, 0 = 4*j + 2*f + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -46. What is the remainder when 1 + (59 - 1\/i*-4) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = x - 94 + 24, 3*x + 12 = 0. Find the third derivative of -240*j**5 + 30*j**5 + 210*j**2 - a*j**2 wrt j.\nAnswer: -12600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Let l(q) be the third derivative of 0*q + 0*q**4 + 1\/30*q**5 + 0 - 3*q**2 - 1\/60*q**6 + f*q**3. Factor l(d).\nAnswer: -2*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 1178\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 2, -10006, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 3*k + 5*p, 2127*p - 2130*p - 42 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 489, 492, 495, 498, 501?\n\"Answer: 3*f + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -53 - 23. Let h = 68 - 134. Let g = h - -67. Solve r + 2*r - g = -4*p, -3*r - o = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 5*y + 3. Let d be f(5). Let r be (-4)\/12*7 + d. What is the second smallest value in r, -16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 9*h**2 + 17*h - 7. Let c be w(-3). Let s = 0.153 + 0.047. Sort s, c, -25 in increasing order.\nAnswer: -25, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3*q**2\/2 - 6*q - 47. Determine u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/3, 0, -1979, 1\/669, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 = 3*t, 9*t - 3*a - 19 - 8 = 0. Let z(j) be the first derivative of 8\/13*j**t + 8\/13*j - 10\/39*j**3 - 11. Factor z(o).\nAnswer: -2*(o - 2)*(5*o + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -81*y + 78. What is the hundreds digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, 5, 33 in increasing order.\nAnswer: -5, -3, 0, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -11*k - 30. Calculate the lowest common multiple of 1 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14*m + 33*m + 6*m**4 - 21*m - 4*m**2 to the form y*m + r + u*m**4 + a*m**2 + l*m**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 59 + 5. Suppose 64 = 6*q + t. What is the third derivative of -19*m**2 + 3*m**6 + 3*m**6 - 3*m**6 + q*m**2 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 25 = 0. Suppose -7*c + 811 = -3137. Suppose o*k - c = -k. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 2*p**4 - 12*p**3 + 4*p**2 + 10*p - 6.\nAnswer: 2*(p - 1)**3*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7662 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 0*v**4 - 52 + 6*v**4 - 4*v**4 + 2*v - 2*v**2 + 3*v**3 as u*v**4 + z*v**3 + x*v**2 + a + c*v and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18237 + 17814. List the prime factors of d.\nAnswer: 3, 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 9685*h**4\/4 + 2*h**2 + 1191*h + 2447. What is the second derivative of b(n) wrt n?\nAnswer: 58110*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 + 2*y**2 + 92*y\/11 - 112\/11.\nAnswer: -2*(y - 14)*(y - 1)*(y + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f + 1)*(4*f**4 + f**4 - 2*f**4) + 27*f**5 + 12*f**5 - 2*f**5.\nAnswer: 43*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 8*u - 5. Determine a(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 plus 3313409928?\nAnswer: 3313410060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5*5\/(-6). Suppose 2*y + 13 = 3. What is the nearest to -0.1 in k, -4, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 28 - 4947*c - 71 + 12 to q*c + h and give q.\nAnswer: -4947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2783 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4683 - -6432. Does 53 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-9)*(-390)\/91 - -46\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**4\/2 - 2*y**3\/3 - 107*y**2\/2 - 10923*y - 11105. Differentiate l(d) with respect to d.\nAnswer: 6*d**2 - 4*d - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, 5, -2\/5 in decreasing order.\nAnswer: 5, 3, 0.4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - q**3 + 55*q - 180*q + 72*q)*(-8*q + 8 - 8) to the form f + b*q**4 + y*q + h*q**3 + v*q**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -919 + 919.0839. Let u = -0.0349 + x. Which is the second smallest value? (a) -0.5 (b) u (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 5:45 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -4*(sqrt(80) + 2*sqrt(80) + sqrt(80)))\/((sqrt(90)*2 - sqrt(90))\/sqrt(9)))\/(4*sqrt(16)*-2*5).\nAnswer: 3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3*z**3 + 9)*(2 - 1 - 2).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5039136 and 21312.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = 2*l, 2*l - 5*l - 5 = m. Let g = 0 + l. Is -1\/3 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000070326 to six dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2270 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2468, 4930, 7390, 9848, 12304?\n\"Answer: -f**2 + 2465*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x + 1. Let f be (-1)\/2*(-872)\/12. Let n = -36 + f. Which is the third biggest value? (a) x (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -539494\nAnswer: -7\/539494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1252669.5 - -1252669.56679133. Let t = f + 384.95390867. Let z = t - 385. Round z to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:38 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 4. Let d(q) = q + 1. Determine 5*d(n) + k(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = -71*z - 979 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1843, -0.1219 in decreasing order.\nAnswer: 1843, -0.1219, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t - 64 = 0. Suppose -2*d + 10 = 0, -2*d - 68 = -5*u - 28. What is the smallest common multiple of t and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyhi when four letters picked without replacement from yhriiihyrhhhyrhihr.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 96a (base 16) to base 11\nAnswer: 18a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 3*j - 5. Let d be y(-5). Let x = -68395 - -4445761\/65. Let f = -2\/195 - x. What is the second biggest value in f, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 1\/8 (c) -2\/13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 + 251. Put 1, -6, g in increasing order.\nAnswer: g, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0 + 1\/6*n**4 + 0*n**2 - 1\/3*n**3 - 12*n + 19\/20*n**5. Is 5 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4\/4 + 10*d**3\/3 + 3*d**2 + 12*d - 5. Calculate the remainder when y(10) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100000011111001?\nAnswer: -100000011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*t**4 + 3*t**2*x - t*x - 49*t wrt t.\nAnswer: 252*t**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - -0.55. What is the third biggest value in 0.1, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 2036?\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6163985 is divided by 52237.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -3*r. What is the smallest common multiple of 5 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d**3 + 123*d**2 + 12*d + 6. Let q(r) = 27*r**3 - 368*r**2 - 34*r - 17. What is -17*b(m) - 6*q(m)?\nAnswer: 8*m**3 + 117*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 + 8*a**2 - 2*a - 10. Let p(r) = -8*r**3 + 15*r**2 - 3*r - 15. What is -3*p(d) + 5*w(d)?\nAnswer: 4*d**3 - 5*d**2 - d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2077618467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443730.3 decades to months.\nAnswer: 53247636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 2*h - 3. Let q(s) = s + 2. Let z be q(0). Let n = 6 - z. Give c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -555*r**2 + 37 - 8*r + 12*r + 673*r**2 - 5*r to l*r**2 + v*r + j and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4819 - -4650.29. Let l = z + -2.29. Let k = l + 171.0183. Round k to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 4*s - 4. Let p(g) = -4*g**2 - 3*g + 3. Let l(u) = 3*i(u) + 4*p(u). Let y(d) = -3*d**2. What is y(l(m))?\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 21*v - 4446. What is the greatest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (278 - 98) + -55 + 15 + (-5 - 0)\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001666 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -2\/5 (b) 2\/21 (c) -153 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5725740 times 3?\nAnswer: 17177220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/711029081 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o\/(o\/o**(-3\/8)))))\/o)*o)**(-18) assuming o is positive.\nAnswer: o**(-243\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - 5*u**2 - 5*u + 5. Let x(k) = 6*k**2 - 5 - 5*k**3 - 1 + 6*k + 3*k**3. Calculate 6*n(h) + 5*x(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 531428.44 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 10. Sort -1, 5, g.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + 2*(sqrt(99) + -1 + sqrt(99) + 1))*-3 + 4)**2.\nAnswer: -71525 + 2520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-200)*(-3)\/36*-1\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - -33. Let i = -21 + l. Let j = -22 + i. Which is the third biggest value? (a) -0.3 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*v + 2*s - 2, -2*s + 3 = -v. Is v < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -7*d**4\/2 - 46*d**3 - 158*d**2 + 48*d - 1247. Suppose u(l) = 0. What is l?\nAnswer: -6, -4, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1733\/(((-12)\/(-18))\/(-3 + 9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/13 + 1404112836*k\/13 + 246441607027495362\/13.\nAnswer: 2*(k + 351028209)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328156 is divided by 46876?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658198.149 rounded to the nearest 100?\nAnswer: 3658200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 254544 and 1018176?\nAnswer: 1018176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 9. Let z(w) = 4*w + 23672. What is z(r(x))?\nAnswer: 8*x + 23708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 6:15 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/22 and 19\/336.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 51.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 17 + 17)*(-3*b + 4 - 4) + 3*b**4 - b**4 - 16*b**4.\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-696))\/((-1)\/15)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1)*s*s)**(-42)\/(s**8\/s**(2\/29)))**(-2\/61) assuming s is positive.\nAnswer: s**(5332\/1769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 535668*s - 35867525778.\nAnswer: -2*(s - 133917)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 4:35 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 91*i - 502. Let l be q(0). Is -500 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 6, b: 1, d: 2}. Give prob of sequence xx.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-4\/9)\/((u*u**(-11))\/((u*(u*u*u\/(u*u*u\/u**(-1)*u*u))\/u*u*u*u)\/u)) assuming u is positive.\nAnswer: u**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -2008.\nAnswer: -2007.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.002216 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157237 is divided by 314?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-14) - (-2)\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2\/3*c**2 - 1\/3*c**4 - c**3 + 8\/3 = 0. Calculate c.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -31*n - 9. Let y(s) = -15*s - 4. Let q = -845 + 836. Give q*y(h) + 4*v(h).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 13*c**2 - 12*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose 2*m + 5 = -3*h, 4*m = -g*h + m. Calculate the remainder when 26 is divided by (-2 + 1)\/h*42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*i + 3*i. Let m = -37 + i. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 1:32 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 78*h - 76. Let z be i(27). Let t(a) = 6*a - 3. Calculate t(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -293, 5 in ascending order.\nAnswer: -293, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 + -511. Let p = 501 + k. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457\/135 - 5\/27. Let s = 0.3909 + 0.0091. Sort f, -1, s.\nAnswer: -1, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -877 and -17.29?\nAnswer: 15163.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.208 and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/28, 0, 20, -8.52, -2\/5 in descending order.\nAnswer: 20, 1\/28, 0, -2\/5, -8.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 965730735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417613003?\nAnswer: 41, 10185683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67203 - -67203.0087566. What is t rounded to four decimal places?\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1959250 and -31\/70.\nAnswer: 13714750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 divided by 4?\nAnswer: 191\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 0 + 3*(-111)\/9. Let h = w - -37. What is the remainder when 55 is divided by (-36)\/(-21) + h\/14 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6383253495612.4 + -0.1\nAnswer: 6383253495612.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091622 to seven dps.\nAnswer: 0.0000916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h + 2*h. Suppose -h*z = -4 - 2. Suppose f - z*f = -4*o + 3, 2*o = f - 1. Solve -11 = f*i + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4519 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -268, -231, 54, 671, 1704?\n\"Answer: 14*j**3 - 2*j**2 - 219*j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79550?\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r**5)**22*(r**(2\/3)*r**6)**33 assuming r is positive.\nAnswer: r**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29\/35 - 2\/5. Let d = 0.05 + 0.95. Let z = 2.4338 + -2.1338. What is the closest to d in k, -0.5, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 - -3.5. Which is the biggest value? (a) -5 (b) -3 (c) m (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.35 + -0.45. Suppose -29 = -5*f + 81. Let j = f + -21. What is the closest to n in -5, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z = -38*z - 5, u - 5*z = 21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrujrrrrrttrrtntnr. What is prob of sequence ntnt?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06234 to 3 decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -6. Suppose 3*j = 4*l + w*j - 1960, 0 = -4*j + 16. Let c = l + -343. What is the greatest common factor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*x + 13. Calculate the lowest common multiple of 18 + -1*(1 - 1) and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (1 + (-11 - 4) + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5 + s - 1 - 9 + 3. Let m be o(0). Calculate the smallest common multiple of 14 and 9 - ((-2 + m)\/(-4) + 2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62 or 10792\/177?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2475047 * 0.5\nAnswer: 1237523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814*j - 15*n - 46 = -1816*j, -2*n + 115 = 5*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74848 + -46944. Suppose 0 = 37*c - 771 - r. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87692054 divided by -9407?\nAnswer: -9322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1987, -3974, -5961?\nAnswer: -7948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (6 - (0 + 4)) + 1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -276*y - 54*y + 16*y as p*y + l and give p.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-4 - (-5 - -5)))*7. What is the highest common factor of 623 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*-1*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*c - 164429 - 60387. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 249286*l. Let r(d) = 2*d + 164. Give r(v(h)).\nAnswer: 498572*h + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-999)\/(-2916)*4\/(-16) and 103\/72.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = -0*q. Let j(f) = f + 1 + f**2 - 1 + q + f. Let a be j(-1). Solve a = 5*z + 6 + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1)*16\/(-16). Suppose b - 3*r - 18 = 0, 2*b + 3*b - 30 = n*r. Factor -2*y**2 - 8\/5 + 16\/5*y + 2\/5*y**b.\nAnswer: 2*(y - 2)**2*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 4:42 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108611 is divided by 27152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/6 - 7*h**3\/3 - h**2\/6 + 7*h\/3.\nAnswer: h*(h - 14)*(h - 1)*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 994564355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136896331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4456000 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1690 + 1005. What is the lowest common multiple of u and 5?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 3*t - 4. Let u be l(-3). Suppose -2*c - 14 = -2. Let w = u - c. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 675?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-92)\/(-36) + -1*3. Which is the second biggest value? (a) z (b) 5 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -42 + (2 - 2 - 18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 74*r - 241. Determine m(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 15*r - 39. Let p be (6 - (-31)\/(-5)) + (-108)\/(-15). Calculate the remainder when 48 is divided by h(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2532 (base 6) in base 2?\nAnswer: -1001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 80\/3. Let r = 0.1 + 2.2. Let u = -0.3 + r. What is the second smallest value in w, -6\/11, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 32*w + 2 + 2.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - f**3 - 6*f**2 - 3*f + f. Let q be b(-6). Let k be ((-168)\/(-60))\/((-12)\/15)*-8. Solve 2*o + q = -2*o + 2*x, -3*x = 5*o + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 8*q - 26, -15 = -11*v - 2*q - 11 + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1259*c + 35. Let l be (7 - 1338\/90) + 2\/(-15). Let u be a(l). Suppose -3*p + i = -10484, 3*p - 397 = 5*i + u. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 14. Let m(h) = 3 - h - 6 + 1. Let s be m(d). What is the nearest to -0.1 in 0.1, -2, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 2, t: 2}. What is prob of sequence tqu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -65 (b) -0.3 (c) -19\/5 (d) 2\/3 (e) -32\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 17*q - 862. Let x be d(32). Is -2230\/7 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246072 (base 9) to base 8\nAnswer: 442455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450178, 450173, 450156, 450121, 450062, 449973?\nAnswer: 449848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 = 0, 5*d + 882 - 908 = n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3030341 - -4?\nAnswer: 3030345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 5, -29.\nAnswer: -67, -29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 43*p**2 - 4511*p - 404. Calculate v(105).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11*d**2 - 13*d - 23. Let q be f(-10). Let s(j) = j**3 - 8*j**2 + 2*j - q*j**2 + 12*j**2 - 1. Give s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmamzxzxzzczuzza. Give prob of picking 1 m and 2 a.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0)\/(-3 - -5). Let d be 2\/9 - (-160)\/90. Suppose -w = 2*w - 2*y - 29, -25 = -3*w - d*y. Solve -3*n + s*n = -w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/8 of a gram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 2 (b) -1\/11 (c) 648\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1264984 rounded to 2 dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1263 - -1263. Sort -4, 9, z in decreasing order.\nAnswer: 9, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 16) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 4*g - 8. Give v(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003550223 (base 6) in base 15?\nAnswer: d7adc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(3*sqrt(9)) - sqrt(750)*1)\/((-1*1*sqrt(1440) - sqrt(1440))*-1).\nAnswer: -7*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*d + 382 + 683 = 229*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(5 + (51 - 111))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/60 + m**5\/10 - m**4\/24 + 2*m**3\/3 + 108*m**2 - 3*m. Let x(r) = r**3 - 5*r**2 + r - 4. Calculate 4*x(v) + 3*y(v).\nAnswer: -2*v**3 - 2*v**2 + v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, t: 2, s: 3}. Give prob of picking 1 t and 3 s.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t + 2. Let w be (-3)\/(6\/16)*((-200)\/(-32) - 7). Let f(u) = u. Give w*f(d) + x(d).\nAnswer: -6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/168870 and -71\/16.\nAnswer: 1350960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + o = -16, 3*i + 2*o = 38. Let a be (-1 - (-22)\/i) + 0. Let p = 10 + -9. Is a != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4618 to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**3 + 0*w + 0*w)*(4 + 1 + 2) + 36*w**3 + 36*w**3 + 6*w**3 to p*w + y + d*w**3 + s*w**2 and give d.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 10*p + 5. Let x be u(7). Suppose 6*f = x + 56. Solve 4*w = 3*v + f, -v = -5*w - 5*v - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/4)\/(165\/(-1243660)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -3. Let y = s - -7. Find the third derivative of 4*x**2 + y*x**6 + x**4 - x**6 - x**4 wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*g + i, 0 = 28*g - 26*g + 3*i - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5608? (a) -8\/9 (b) -2 (c) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-9))\/(12\/(-126)). Let i = c - -9. Find the third derivative of -2*f**i - 12*f**4 + 0*f**2 + 6*f**4 wrt f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - h = -3*h - 102, -4 = 378*r - 376*r + 4*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/28*(2\/(-2))\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 1832010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 0.4, -3.\nAnswer: -3, 0.3, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (-1 + sqrt(1573))**2 + -1 + (-5*(sqrt(1573) + 1*sqrt(1573)) - sqrt(1573))**2 + (sqrt(1573) - (sqrt(1573) + -1))**2*-5.\nAnswer: -22*sqrt(13) + 191902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*x - 5*x + 3814 = 0, 5*l + 4*x = 3817. List the prime factors of l.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 113*f**2 - 216*f - 670. What is c(111)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203488 = -24*m + 53*m - 37*m. List the prime factors of m.\nAnswer: 2, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1201 + 1142.9. Let x = -1619 - -1677. Let o = x + l. What is the nearest to -1 in o, -5, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -4. Suppose -3 - 7 = 5*c, 0 = v*f - c - 12. Let p be (3\/4)\/((-2)\/8). Sort -5, p, f.\nAnswer: -5, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104.80746 and -43.4.\nAnswer: -148.20746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 15 - 13 - -18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2337633 - -6?\nAnswer: 2337639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4653 and 131553.\nAnswer: 1447083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4288892 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = 11. Solve 0 = -2*c - d*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -313\/35993 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 - 3531\/26. Let v = j - -53\/130. What is the nearest to -1 in -5, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7 = 120*f - 164*f + 184, -4*f + 48 = -4*x - 88 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/11352375 and -76\/15?\nAnswer: 11352375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*d**4 + 1469*d**3 + 846319*d**2?\nAnswer: 1032*d + 8814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1332, -1438, -1534, -1554, -1432?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -3*m**4\/4 - 2*m**3\/3 + m**2 - 2*m - 3. Let b be x(-5). Suppose -4 - 8 = -3*t, t - b = -3*c. Round c to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = 6*t - 114 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 500 = -5*v. Let b = 1015 - v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (0 - 10) + 2 - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4114 or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/51*(0 - 0). Sort u, -3, 4 in descending order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -17, -41.\nAnswer: -41, -17, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**5 + s**5 + 7*s**5 + (-18*s**2 + 18*s**2 + 4*s**4)*(0 + 0 + 2*s).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 9 + 3)*(-97 - 125*j + 97)*(-1 + 1 + 2).\nAnswer: 5500*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*w - 3*j + 40 - 43 = 0, w + 4*j + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 + 4*g**3\/3 - g**2 + g - 2. Let n be o(3). Suppose -4*i + n*m + 67 = 3*m, -i = 3*m - 33. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1147206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5))**18)**(-15) assuming i is positive.\nAnswer: i**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78267065 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 - 1 = 0. Let f be 36\/(-8)*w\/(-3). Solve -13 + 1 = f*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**(-2\/103)\/(h\/(h*h**4*h)*h**(-2\/3)) assuming h is positive.\nAnswer: h**(1745\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.1 (c) 2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*b + 897 = -1909. Solve 0 = b*r - 17*r + 36 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18875.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/15*90\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 - 2*n + 7. Let v(u) = u**2 + 1. Suppose -4*f - 2 = -4*k + 2, 0 = 4*k - 2*f. Determine k*o(z) + 6*v(z).\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q - 1. Let y be s(-3). Suppose m = f - 6*f + y, -4*f + 13 = -m. Suppose -2*b + 3*d + 58 = 2*b, m*b - 2*d = 43. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:36 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/3 - 110*o**3\/3 + 136*o**2 = 0 for o.\nAnswer: 0, 4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271 + 3338. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2484 = -38*d. Calculate the greatest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 3*a**3 + 12*a**3 - 7*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 17) + 420 + -443 - 5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a. Suppose 5*m - 26 - 159 = a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -749971607119 and -0.32?\nAnswer: 749971607118.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(3*m - 2*m + m) - 4 + 4 - 2*m - 2*m + 3*m - 2*m - 14*m + 119*m + 536*m.\nAnswer: 636*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1589047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 154?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 161, 3 in descending order.\nAnswer: 161, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*((o**(-5\/6)*o)\/o)\/o*o*(o*o**(2\/9)*o)\/o assuming o is positive.\nAnswer: o**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561964 and 15301.\nAnswer: 6181604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((5\/(-20))\/(-3*2\/(-24))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175 (base 9) to base 12.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 2*p)*(-3*p - 4 + 4) - 3*p + 3*p + 2*p**2 + 0 + 0 + p**2 + 9*p**2 + 9*p**2 - 4*p**2.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 91665*q + 10. Let u be i(6). What is u rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 + 38 = j, 155 = 3*j + 2*k. Suppose -s - s + 6 = 0, -4*d - j = s. Let y = 2 - d. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*k - 820 = -172*k + 4760 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369423 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/17 - 106\/(-34). Suppose -4*d = -l + 2*l - 8, 5*d = c*l + 10. Suppose 0 = -3*h + 6, 2*f - f + d*h = 49. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-14 + (5 - 9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1451746 or 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7514 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113\/320 + 3\/64. Let z(j) = -2 + 2*j**3 - 6*j**2 - j - 3*j**3 + 5*j**2. Let d be z(0). Sort d, c, 3 in descending order.\nAnswer: 3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*f - 3 = 1, -d - 3*f = -4. Find t, given that -d*t**3 - 4*t**3 + 48 + 28*t**2 + 28*t**2 - 100*t + 4*t**3 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*m - 1441, 2*j - 5*m = -3*j + 3665. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3\/2*y**4 + 981\/2*y**2 + 147\/2*y**3 - 21315\/2*y + 10092 = 0.\nAnswer: -29, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*(10\/(-3) - 2). Suppose 0 = -5*c + 12 + z. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4 - 7202*d**3 - 7866*d**2 + 350525329*d wrt d.\nAnswer: -24*d**2 - 43212*d - 15732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000110000110 - -100?\nAnswer: -1000000110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1509\/2996 - -11\/2996. Let k = 4 + -3.99. Sort b, k, 1\/7, -2\/5 in ascending order.\nAnswer: b, -2\/5, k, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3372 divided by -5?\nAnswer: 3372\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x - 2. Let r(f) = -f + 1. Calculate -c(o) - 2*r(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u + 258. Let c be y(23). Suppose 1 = -c*v + 46. Solve 2*p = -7*p - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (18\/153 + (-19)\/17). What is the closest to k in -0.3, -0.06, 2, -1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from naaaaaanaa.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 1 + h**3 - 1 - 2*h**3 + 27*h**3 + 16*h**3 + (-3 + 2 + 2)*(h**3 - h**2 + h**2) + 9*h**3 - 7*h**3 + 2*h**3.\nAnswer: 47*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210*(4 + (-5)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 230*u + 9*u**3 - 14*u**3 - 230*u to r + j*u**3 + y*u + m*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3 + 3)*(-4*d**4 + 7*d**4 + 5*d**4) + (d**3 + 3*d**3 - 5*d**3)*(-d**2 - d**2 - 2*d**2) - d**5 + 0*d**4 - d**5 - d**4.\nAnswer: -6*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -41. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*l + 5, 0 = 25*l - 29*l + 3*p - 3. Which is greater: 2\/3071 or l?\nAnswer: 2\/3071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -153846 + 153693 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*n - 30, 6*r - r - 5*n = 40. Suppose 0 = r*p - 3 - 15. Solve 0 = -s + p*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -97. Let w be 8\/78*(-18)\/12. Put -5, w, f, -0.1 in decreasing order.\nAnswer: f, -0.1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, i: 7, b: 2}. What is prob of picking 1 i and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6493243?\nAnswer: 419, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 306 = -40*r. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -484*z**4 + 9*z**2 - 422*z - 4. Let m(q) = 483*q**4 - 7*q**2 + 423*q + 3. Let y(a) = -4*m(a) - 3*v(a). Find the second derivative of y(t) wrt t.\nAnswer: -5760*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + 0*f)*(-6*f + 10*f - 29*f)*(-14 - 3*f**2 + 14 + (-3*f - f + 2*f)*(-2*f - f + 5*f)).\nAnswer: 350*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Let x(o) = -o**3 + 5*o**2 + 2*o + 2. Let u be x(q). Suppose -4*m = -m + u. Let d(t) = 3*t + 5. Determine d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-15) - 4\/30. Sort -4, 1, y in increasing order.\nAnswer: -4, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 131 (b) -131 (c) 0 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 5 - a**3 + 0 + 2 + 20*a**2 to the form m*a**2 + d*a**3 + f*a + s and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8520152*z**4 - 14*z**3 + 263542781*z?\nAnswer: 102241824*z**2 - 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74, -1, 118, 283?\n\"Answer: 23*a**2 + 4*a - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240374 divided by -2.\nAnswer: -120187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d**2 + 3*d. Let s(n) = 12*n**2 - 4*n. Let b(a) = -a**3 + 12*a**2 - 9*a - 114. Let r be b(10). What is r*s(q) - 5*w(q)?\nAnswer: 17*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*h**5*z - 56562768*h**3*z - 139*h**2 - 16*h*z - 10*h + 45*z wrt h?\nAnswer: -720*h**2*z - 339376608*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1036547939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263584024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + (sqrt(612) - (sqrt(612) - -2*-2*sqrt(612))))*5)**2 + -4 + -3.\nAnswer: 382493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*h + 13 + 268 + 135. Solve 21*x - 40 = h*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/2 + 2956613*g**4 - 8741548605309*g**3\/2 - 17483132689990*g**2 - 17483144516450*g = 0. What is g?\nAnswer: -2, 0, 2956615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5234167225.\nAnswer: 5, 7, 29, 131, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 6*a + 4. Let v be (12\/(-14))\/(5\/(-35)). Let c be y(v). Suppose -o + 4*h = 17, -2*o - 34 = -4*h - 12. Sort 5, o, c in descending order.\nAnswer: 5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 68 = 5*k - k, 4*k + 3*x = 63. Let o(y) = y - 4 + 3 - k*y. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*c - 756 = -766, 2 = -f + c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0059 - -0.00590221. What is q rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 990, 2500, 4016, 5538, 7066, 8600?\n\"Answer: 3*a**2 + 1501*a - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 2*p - 2 = -10*j, -5*p = -25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/(11\/(330\/48)). Let r = -3 + 2. Let s be (6 - 4) + 2 - -1. Which is the nearest to 1\/2? (a) r (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 211*p**2 + 12*p + 6. Let s(h) = -51906*h**2 - 2954*h - 1477. Determine 1477*n(m) + 6*s(m).\nAnswer: 211*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2992185, -11968739, -26929663, -47874957, -74804621?\n\"Answer: -2992185*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Suppose 0 = c*h - 8 + 5. What is the nearest to -1\/2 in h, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.66 + -10.60191. Round r to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*t - 5\/2*t**2 + 15.\nAnswer: -5*(t - 2)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7820)\/(-2737))\/(1\/70). Solve 0 = 22*o - 46 + k for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624799?\nAnswer: 7, 41, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-36)*(-6)\/(-1))\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 702*j**3 - 8*j**2 + 8*j - 8. Let b(r) = 703*r**3 - 9*r**2 + 9*r - 9. Determine 8*b(q) - 9*y(q).\nAnswer: -694*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.00487 + -8769.99513. Let k = 8770.017999 + j. Let h = -0.018 + k. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 - 173. Calculate the lowest common multiple of s + -4 + 62 + -3 and 80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 9) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = 14. Let b be 4*x\/6*-6. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aa3 (base 16) to base 9\nAnswer: 10316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + o + 6 = -3*o, 3*o - 1 = u. Sort u, -35, 0 in decreasing order.\nAnswer: u, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44098\/408 + (-3 - (-44)\/12) + 0. Is 108 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266a416 (base 11) to base 4\nAnswer: 101211300031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 3*y + 1 - 7 + 6.\nAnswer: -6*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20204953.\nAnswer: 20204953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 42 = 4*m, 12*m = -25*q + 20*q + 60 + 54 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 0*i**4 + i**4 - i**5 + (7*i**2 + 3*i**4 - i**4 - 5*i**2)*(-21 + 44 - 69)*(0*i + 6*i + 0*i).\nAnswer: -553*i**5 + i**4 - 552*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (79 - 167 - 467 + 16)*(l**2 + 3*l**2 - 6*l**2) in the form x + g*l**2 + s*l and give g.\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiiq when four letters picked without replacement from iiiqiiiiqiiqqq.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -2239?\nAnswer: -2239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.58 - -141.32. Let d = g + -21.9. Let n = d + -140.564. Round n to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8805002 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(119) + (sqrt(119) - sqrt(119)*-2)*-6)*-4)\/(sqrt(77)\/sqrt(44)*-2))**2*4.\nAnswer: -314432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/30 and -89\/9326889.\nAnswer: 93268890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*6*(-2 + sqrt(8)\/sqrt(4)))**2.\nAnswer: -180*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671 (base 9) in base 14?\nAnswer: a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 10*o**2 + 13*o - 18. Let z be h(11). Factor 3*q**3 + 0*q**5 - q**z - 174*q**2 - q**5 + 175*q**2 - 2*q.\nAnswer: -q*(q - 1)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (sqrt(243) - (sqrt(243) + 1 + sqrt(243)))*-5)**2 + -1 + (sqrt(243) - (sqrt(243) + 0)*3)*-4.\nAnswer: 432*sqrt(3) + 3912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 1) + -3 + 757985. Suppose 3*i - 303191 = 2*k - 0*i, d = -5*k + 3*i. Round k to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/32 and -39\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15105 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 8. Suppose -c*x = -o, -4*x + 5*o = -x + 14. Find the common denominator of 95\/16 and (x\/(-8))\/(33\/438).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000799 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1269 and 16389.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/3 - 7\/6. Suppose 1 = 6*g + 25. What is the biggest value in g, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2250 + 2256. Solve 24*g - 26*g = -4*k - 16, -s = 5*k + g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1905*n**2 - 46 + 2483*n**2 + 100 - 54 to c + q*n**2 + d*n and give q.\nAnswer: 4388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 2, -8067 in ascending order.\nAnswer: -8067, -9, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2, 4, 2073, 3, 20, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1874\/11921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/(-25) - (0 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(46\/(-69))\/(((-5)\/5)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*q = -7926 - 3294 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1062 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1477 = -l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-9)\/(-2)) + 1. Let z = -13188 + 13194. What is the fourth biggest value in 3, 0.3, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 63 - 2*x**2 - 11*x**2 + 63.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1031631 (base 8) to base 4\nAnswer: -1003032121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 1. Suppose -2*z + 4*z = 0. Let d(t) = -t**2 - t + 1. Calculate the lowest common multiple of p and d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 162*v - 1 + 180*v - 415*v)*(-2*v**2 + v**2 - 2*v**2).\nAnswer: 219*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10930655 and 1095?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 481 = 3*n + 28, 3*n - 131 = i. Let o = -98 - i. Find the second derivative of -69*m**3 - o*m + 38*m**3 - 2*m**3 - 7*m wrt m.\nAnswer: -198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0.1, 2, 3\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 10 + (3 + -2)*0. Calculate the common denominator of 113\/12 and d\/75*-1*-10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -9 (c) -0.4 (d) -3\/7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 165*z + 566. Calculate m(-5).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/7 + 358372\/3724 + -97.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 2*k - 2. Let o be q(-3). Let z = 1 + o. Suppose -g = z*g - 105. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2. Let q(b) be the first derivative of -b**6\/360 + 2*b**3\/3 + 1. Let w(d) be the third derivative of q(d). Calculate w(m(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7959287, 2 in increasing order.\nAnswer: -5, 2, 7959287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5979 - 112 + 107)*(0 + 0 - 2*g - 2*g + 2*g - g - 2*g + 2*g + g + 0*g - 2*g + g + (-1 + 5 - 3)*(-2*g - 3 + 3) + 2*g + 2*g - 5*g).\nAnswer: 35904*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124172872.\nAnswer: 2, 47, 330247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*w + 6 = 2*t, 9 = 5*t - 3*w. Suppose 4*b + 11 = -3*q, -4*b + t*q - 9 = q. Let o = 8\/47 - -23\/141. What is the smallest value in b, 2\/15, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186261 and 3102.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6352908.\nAnswer: 1\/1588227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let n(h) = -9*h - 4. Let o(m) = m - 9. Let s be o(4). Let j be s + 3 - -1*6. Let v(x) = 8*x + 3. Let t(c) = j*v(c) + 3*n(c). Give t(d(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((252\/(-49))\/(-9))\/((-6)\/(-14)). Which is the third biggest value? (a) -4 (b) -261 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 0.5707?\nAnswer: 0.5707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, -4\/5, -726\/5309 in ascending order.\nAnswer: -4\/5, -0.4, -0.2, -726\/5309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*u**5 + 2*u**4 + 36*u**3 + 3805*u**2 wrt u?\nAnswer: -1980*u**2 + 48*u + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -479*n - 5156. Let g be p(-12). Solve 586*a - 12 = g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-18)*51\/(-21). Let s = -91\/30 - c. Sort s, 1\/3, -0.3.\nAnswer: -0.3, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 78159, -0.1, -0.05 in decreasing order.\nAnswer: 78159, 1, -0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6518666, 6518664, 6518662?\n\"Answer: -2*p + 6518668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 16*k**2 - 22 + 6*k + 50 - 6*k.\nAnswer: -16*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 72. Suppose 10 = 2*w + 4*a, a = 3*w - 0*a - n. Solve 4*v + w = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7481*z - 329192. Give t(44).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 4*z + 2*z + (1 - 1 - 1)*(z - 5 + 5) + 0*z - 5*z + 3*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2700 - 2699.99996437. Round p to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*i = 141*i + 16410. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -4, -3503 in decreasing order.\nAnswer: 3, -0.5, -4, -3503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*j = -15, 19101*j + 8 = 3*c + 19102*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51300 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*l + 20956 = -2958*l + 1555*l for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*g + 3)*(0*g + 0*g - 10*g).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77\/5 + -549\/10. Suppose -22*h + 672 = 1574. Does h = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - 5985\/(-126))\/(2\/(-284))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15765, 15270, 13925, 11304, 6981, 530, -8475?\nAnswer: -20460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 245 (b) 94\/41 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-27)\/((j\/j**(-2\/17))\/j)**(24\/7) assuming j is positive.\nAnswer: j**(6378\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p + 0*p**4 + 2*p**2 + 0 + 1\/6*p**3 + 1\/60*p**5. Find the first derivative of o(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565 - -554 - (5 + (1 - -2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -232. Suppose 3*b + 18 = 2*o - o, 5*o - a = 2*b. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/7215 and -161\/30.\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 2 + 2)*(-2 - 1 + 5)*(-713*z + 614*z - 886*z) as f*z + r and give f.\nAnswer: -19700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 4\/5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 179493 and 22043?\nAnswer: 1256451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-27) + (-58)\/(-18). What is the units digit of 31\/a + (-14)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 50 = u, -4*u + 4 = 24. Let b(n) = -n + 17. What is b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 + 301 + -105 + -74.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1070*j + 7. Let g(y) = 3*y + 3. What is g(l) - v(l)?\nAnswer: -1067*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -242465 and 1.18.\nAnswer: -286108.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 10*h**5 + 2*h**4 + (h**4 + 2*h - 2*h)*(-3 + 3*h + 3).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 1. Let s be g(-1). Let d(a) = a**s - 3*a**2 - a**2. Let w(z) = -z + 3 - 3. What is d(w(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 8, i: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.8 to the nearest integer.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from {b: 7, q: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 0 - (2 + 0). What is the third smallest value in -299\/3, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884754 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: Let f = 1.99 + -2. Let h = -0.31 - f. Let i = -0.8 - h. What is the nearest to 1\/2 in -3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96554086 is divided by 4198003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 8:30 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23506 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1293018 and 38\/1077515.\nAnswer: 6465090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 - -0.06691\nAnswer: -0.06309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53.3 in -3, -1\/4, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-204)\/14 + (-152)\/28 + 5. Let c be 18\/(-3) - (-1 - 2\/2). Let v be (20\/l)\/(-4) - c\/6. Solve -m = -v + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1, 21.164, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, f: 3}. Give prob of sequence iiif.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552914 a multiple of 1183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 2. Let v be n(4). Suppose v = o - 6*o. Calculate the remainder when 32 is divided by o - -1 - (-21 - -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/12)\/(2\/6). Suppose c*r + 1469996 = -r + t, 2*t = -4*r - 1960008. What is r rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7009 is divided by 52.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65.248 - 60.15. Let u = -0.098 + h. Which is the closest to 9? (a) -0.05 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*f*h*p**2 - 6*f*p**4 + 79*f*p**3 + 16*h*p**4 + 11*h*p**2 + h - 2*p**2 wrt p?\nAnswer: -144*f*p + 474*f + 384*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(2\/(-2)))\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53 - 91*i + 96 + 248*i**3 - 43 wrt i.\nAnswer: 1488*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87321077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 776040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000144752 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -16, -0.5, -2, -3\/34, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 136*g**3 + g - 1. Let k be -14*(-4)\/(-8)*-1. Suppose -3*c - 15 = 0, 2*c + 0 + k = -3*p. Is y(p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/63*(-9)\/10*1540\/110.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32.5*-63403\nAnswer: 2060597.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 12*r**2 + 6*r - 18. Suppose -5*y - 4*v = -76, -y + 0*v - 4*v = -28. Calculate the least common multiple of -1 - 1 - (3 + -21) and x(y).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 105.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d = 59*d + 16. Suppose -d*k = -3*m - 239, -67 = 3*k - 4*m - 248. What is the remainder when k is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.76 + 43.6. Let p = -29.232 - f. Let t = -12 - p. What is t rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*i + 6 - 18, 4*i = 2*l + 8. Suppose 12 = w - o - 3, -l*w + 3*o = -55. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = 0, -5*i = 27*l - 24*l - 278. What is the greatest common factor of l and 5005?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 7, -2, 2\/5 in decreasing order.\nAnswer: 7, 2\/5, -6\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -454234 + 1362703\/3. Let s*g**2 - 10\/3*g + 3 = 0. Calculate g.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**4 - 17*a + 17*a + (-4*a**2 + 2*a**2 + 4*a**2)*(2*a**2 + 0*a + 0*a) - 38 + 38 - 36*a**4.\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0*s**4 + 0*s**5 + 1\/15*s**6 + 0 + s + 1\/3*s**3 + 0*s**2. Find the second derivative of d(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 2*j + 5. Let h(p) = -2*p**2 + 2*p - 4. What is 4*h(y) + 3*r(y)?\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-3 + sqrt(176)) + -5 - (sqrt(77) - sqrt(77)*-1*-4)\/(sqrt(49)\/(sqrt(7)*-2)))*2)**2.\nAnswer: -3120*sqrt(11) + 40276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 294912*i**2\/13 + 1536*i\/13 + 2\/13.\nAnswer: 2*(384*i + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*g = 9 + 5, 0 = -3*b - 3*g. Suppose y - 3*y = -12. Let q = y + b. Solve d + 9 = q*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5715, 5820, 5995, 6240, 6555, 6940, 7395?\n\"Answer: 35*a**2 + 5680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 70?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 13*c + 7. Suppose -x - 5*a = 37, -157 = 5*x + 2*a - 5*a. Let r = x + 20. What is d(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*q - 212, -44*q = 2*v - 45*q - 396. What is the greatest common divisor of 75 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292093053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Suppose -11*j + 13*j - 6510 = -2*u, t*j + 2*u = 13024. Suppose 2*m - 2*w - 5130 = 0, 4*w - j = -2*m + 1861. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 189, 476, 877, 1392, 2021, 2764?\n\"Answer: 57*d**2 + 2*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228*y**5 - 577*y.\nAnswer: -4560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**3 + 3*l - 9*l**3 + l**3 + (-12*l + 8*l - 17*l)*(-2*l**2 + 6*l**2 - 3*l**2))*(2 - 2 - 2*l).\nAnswer: 44*l**4 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 24 - 6*v - 24. Let k(a) = 5*a**2 - 8*a - 8. Let t(w) = -3*w**2 + 5*w + 5. Let r(c) = -5*k(c) - 8*t(c). Give u(r(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 363310 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - k = -11, 5*x - 3*k = 15204 - 15237 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**4 + 6*d**3 + 4*d**2 + 2*d - 2. Let y(v) = -5*v**4 - 6*v**3 - 3*v**2 - 2*v + 3. Let r(h) = -3*c(h) - 2*y(h). Factor r(k).\nAnswer: -2*k*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 divided by -8?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 91, -43047 in decreasing order.\nAnswer: 91, 8, -43047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-288)*-3*-6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 - 16*w**2 - 15*w - 12. Determine a(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 (base 8) in base 13?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) -1 (c) 33\/5 (d) -26300\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5598.691 kilometers?\nAnswer: 5598691000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 10. Let f be i(7). Suppose 0 = -4*q - y + 156, 3*y = 2*q - 53 - f. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/((-72)\/(-4)) + 16\/12. Which is smaller: 4\/545 or k?\nAnswer: 4\/545","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2331 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22013 + 22018. Let x(v) = 9*v + 9. Let n(f) = -10*f - 8. Determine u*x(p) + 6*n(p).\nAnswer: -15*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.672.\nAnswer: 0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/7 - 43230*c**2\/7 + 7963139*c\/7 + 8006370\/7 = 0. What is c?\nAnswer: -1, 186, 43045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -2\/5 (c) 26 (d) 0.1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2853260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/((-9)\/((-2025)\/(-10))*2595\/(-173)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(18) + -4.\nAnswer: -6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146043.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 52*z - 34. Determine l(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12084 times -0.18\nAnswer: -2175.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 4. Let d be x(6). Suppose -l - 18 = -4*l. Let f(q) = 4*q + 41. Let y be f(-9). Solve 0 = d*a - y*a - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-12 + 13)) + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 4*y**2 - 20*y - 19. Let c be w(-8). Let u = 122 + c. Solve u = -2*i - 3*j, -4*j = -2*i - 2*i - 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d**2 + 14*d - 14*d as r + y*d**2 + k*d and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256735 is divided by 128361.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 4*c - 3. Let l be s(-3). Let t be -3*30\/(-9) - l. Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 + 12*k + 32. Calculate z(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/17 - -3*(-10)\/(-255)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 89480940 - -5?\nAnswer: 89480945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 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: Let i(p) be the third derivative of p**8\/672 + p**7\/126 + p**6\/80 + p**5\/180 + p**2 - 38*p. Let i(n) = 0. Calculate n.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31 - ((-3 - -4) + -4). Suppose -10*k - w - 26 = 0. Let y be k*(-13)\/27 - 4. Put y, -1\/4, -1 in decreasing order.\nAnswer: -1\/4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/2 + (-4)\/(-4). Let m be (-4)\/(-10) - 438\/t. Let v be m\/6*(-8)\/(-10). Solve 2*i + 3*z = -3, 2*z = -4*i - v*z - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81133*r**5 + 96166*r wrt r?\nAnswer: -1622660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -390387 and 2357.\nAnswer: -920142159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (3 - (-6)\/2)*(-998)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7680 (base 14) in base 12?\nAnswer: -ba40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159*f**2*k**5 + 3*f**2*k**2 + 9*f**2*k + 43*f**2 - k**2 + 2*k wrt k.\nAnswer: 3180*f**2*k**3 + 6*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (19 - -3)\/(-1 - 2367\/(-2361)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70593471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 + 15*k**3 - 38*k**3 + 11*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (-5 - ((10 - (5 - 4)) + -3))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -221? (a) -5.3 (b) 1\/3 (c) 0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 34.\nAnswer: -13\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 24 = 3*o, -7*v + 4*v + 5*o = -16. Let c(w) = -373*w - 35. What are the prime factors of c(v)?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -1\/198, -3?\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i + 1 - 4 + 3*i - 2*i. Let u(f) = f**2 + 14*f + 56. Let z be u(-8). Let q be l(z). Solve -q*o + 2*r + 31 = 0, -3*o + 3*r = -9 - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 50. Let y = -28 + b. Calculate the remainder when 18 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0 + 7\/12*f**4 + 0*f**3 + 0*f**2 - 30*f. Let v(o) = 3*o**2. Give v(u(z)).\nAnswer: 147*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2 - 233*f - 32. What is a(18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/977 + -971\/1954. Let l = -57.3 - -62. Put -1\/5, v, l in descending order.\nAnswer: l, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1758)\/(-8) - 2\/(-8). Calculate the common denominator of (-845)\/o - (-6)\/(-8) and 47\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 9. Let w be ((-10)\/(-4))\/(4\/(-16)). Is b(w) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 780 and 1700420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.982967 years in decades?\nAnswer: 0.1982967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 31442 = -3*t, 3*t + 15642 = 5*y + 47093. Let d = t + 24518. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*1\/(-22))\/(2\/8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 9 (c) 1\/7 (d) -15 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151559?\nAnswer: 31, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 - (2840\/100)\/((-2)\/10) is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -755957, 5, 0, 3 in ascending order.\nAnswer: -755957, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 865*i + 890*i + 2*i**2.\nAnswer: 2*i**2 + 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let s(x) be the third derivative of -x**5\/3 + 7*x**2. What is q(s(b))?\nAnswer: 400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003687 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.67 (b) 5 (c) -142 (d) 1\/7 (e) -0.1 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21226*c - 21092*c = 767 - 10013 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106284 divided by 12.\nAnswer: 8857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*m\/m**10*m*m*m\/(m*m**(-27))*m**(2\/37)\/m**(-8\/7) assuming m is positive.\nAnswer: m**(6267\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 72576\/(-4389) - ((-36)\/22)\/(-6) - 1.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(85))\/sqrt(5).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2131, 2145, 2159, 2173, 2187, 2201?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -28*113*(-92)\/368.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 6*b**2 - 10*b - 19. List the prime factors of q(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 5 + 26*o + 18*o - 16 to the form y*o + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008226 - 0.2.\nAnswer: -0.208226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = -3*n + 4*n, -6 = 4*n - 5*j. Let a(y) = 0 - 336*y + 338*y + 6 - 1. Let g(s) = 1. Give n*a(v) - 4*g(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)\/g**(-2) assuming g is positive.\nAnswer: g**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 97576129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1095822 and 1095822.\nAnswer: 1095822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 32. Let w = 0.1 + -3.1. What is the nearest to 0.1 in 1\/2, a, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 4*t**2 - t**2. Let c(r) = 3*r**2 - 12. Let s(n) = 2. Let o(w) = c(w) + 6*s(w). Give o(p(j)).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*b**2 + 26*b**3 - 193*b**2 + 98*b**2.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 31, 81, 0.2 in decreasing order.\nAnswer: 81, 31, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10830 by 3.\nAnswer: -3610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332 + 122?\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2362098623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -4 (c) 0.4 (d) 3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + 4 - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 76*x**2 + 35*x + 7. Let o(m) = 38*m**2 + 17*m + 4. Let z(n) = -13*o(n) + 6*w(n). Let h be z(-10). What is h rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243772*b**3 - 129122*b**3 - b - 3 - 114635*b**3 + b + 3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 68 (b) 0.054 (c) -3\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 23. Put 0, -1, l in ascending order.\nAnswer: -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002898513 rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5074 is divided by 1013.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14202 and 222?\nAnswer: 525474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or -989\/7?\nAnswer: -989\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 790 = 334. Suppose -l = -143 + r. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3791\/3 + -1294. Let p(f) = -3*f + 17. Let l be p(16). Let x = l - s. Is x less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9666 - -29003\/3. Sort 3\/2, 1.6, r, 0.91, 2 in descending order.\nAnswer: 2, r, 1.6, 3\/2, 0.91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 54 = 2*u, -5*h + 4*u = 2 - 65. Solve -v + q + 15 = -2*q, -3*q - h = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*p + 4*p. Suppose -5*h - 2*v - 3 = 1, p*h + 10 = -5*v. Suppose h = -i - 4*r + 19, -16 = -i - 5*r - 0*r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2675 or 2681?\nAnswer: 2681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709*q = -700*q - 547551. List the prime factors of q.\nAnswer: 83, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 705009660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u + 6*u + 2*u)*(0*u**2 - 2*u**2 + 4*u**2) + (4*u + 3*u - 6*u)*(-4*u**2 + 3*u**2 - u**2) + 3*u**3 - 4*u**3 + 2*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55, 67, 97, 151, 235, 355?\n\"Answer: o**3 + 3*o**2 - 4*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 186*i**2 - i + 7*i**4 + 187*i**2 - 376*i**2 + 0*i**4 - 1 to x*i**4 + w + j*i**3 + c*i + v*i**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 1, m: 5, d: 1, r: 1, y: 1}. What is prob of sequence mrh?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - (7 - 6 - -11)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*y + 6 = 0, -4*y = -4*s - 6 + 30. Let j be (20\/(-3))\/((-3)\/9). Suppose -13 - 6 = s*n - 5*r, -2*r = 5*n - j. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 + 31*f**2 - 164*f + 1393. Give l(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1489774071 and -35.9?\nAnswer: 1489774106.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*x - 5*m, 0 = -2*x + x + m + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3131366 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 3 - 1 - 2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 - s - 9. Let w be q(6). Let v = 47 + w. Is v\/10*-1 - 3346\/(-35) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5)\/(-96 + 11)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2 + u - 3. Suppose h + 7 = 13. Let r be w(h). Calculate the common denominator of -89\/10 and r\/(-7) - (-859)\/322.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 24*a**2 - 7*a - 535. Let j be v(-23). Calculate the highest common divisor of 1891 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.5 + -39.7. What is the nearest to -3\/5 in -2, -15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 10*b - 7. Does 2 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1515508?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -61\nAnswer: -8\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and 49.37?\nAnswer: -11.3551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136125 and 1041931.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -236, 1, -1776?\nAnswer: -1776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7 = -4*b - 22, -2*b + 5*j = 15. Let d(f) = b*f + 0*f + 8*f**2 + 0*f. Let h(m) = -m. Calculate d(h(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*o - 3745 - 13925 = 1224*o + 22479 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 2, n: 2, l: 2, i: 3, c: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(29\/(2755\/(-76)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 2569 + 775. Calculate the highest common factor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, 374, 1500, 3690, 7298, 12678, 20184?\n\"Answer: 59*w**3 + w**2 - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/35)\/(2\/14). Suppose d*t = 5*t. Factor 2*j**3 - 3 - 6*j + 7 + t*j**3.\nAnswer: 2*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q\/q**(-6))**(2\/47) assuming q is positive.\nAnswer: q**(28\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/21 - ((-1)\/1 + -42). Suppose 6*o - 1594 = -f. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09597 less than -0.202905?\nAnswer: -0.298875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -673.1 times -5\nAnswer: 3365.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 197 = -147. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3*u + 4 + 0.\nAnswer: 3*u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99284 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14524076*g**2 - 16498962 wrt g.\nAnswer: 29048152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f**3 + 13\/105*f**7 + 0*f**5 - 5\/24*f**4 + 0 + 0*f**6 + 5*f**2 + 0*f. Find the second derivative of g(p) wrt p.\nAnswer: 312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkpmmmfmspmfpmpmpmmp. What is prob of picking 1 k and 1 m?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 7. Let u be j(7). Suppose 6809 + 6671 = 17*z + 1342. What is the greatest common divisor of z and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*k + 0 = 10, -15 = -3*m + 5*k. Solve -n + m*o - 8 = 0, -3*n = -2*n - o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (-23)\/(-4) + 4\/16.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-1568)\/42)\/14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/60 and -103\/12300?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4202 + 0?\nAnswer: 4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*l = -12622828 + 512494 - 18988029. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.19812 or -0.06?\nAnswer: 0.19812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m. Let x(h) = -h - 6. Let c(s) = 1. Let q(o) = -6*c(o) - x(o). What is -6*p(g) + 39*q(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19840 - -19839.91479. What is r rounded to three decimal places?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195127, 195103, 195079?\nAnswer: 195055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(3 - 4 - 4)*(-3*i - i + 8*i) + (i + i + 0*i)*(-3 - 2 + 6).\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5149\/3 - 1698. Let i = -2\/1825 + 82133\/7300. Calculate the common denominator of i and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*p**2*u**2 - 15*p**2*u - p**2 + 77*p*u**3 + 1440*p*u**2 - 4732*p*u - 2 wrt u?\nAnswer: 24*p**2 + 462*p*u + 2880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/3, -6, 2\/9 in descending order.\nAnswer: 5, 2\/9, -4\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2015, 0 in ascending order.\nAnswer: -2015, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*z + 3*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((856\/6)\/2)\/(7\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 78, -2\/837, 2\/7?\nAnswer: -2\/837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68777031 to the power of 1\/2, to the nearest integer?\nAnswer: 8293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -63 (b) 1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (1 - -2) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51\/(-6) + (-1)\/2. Let g = y + 15. Let t(f) = -4*f + 11. Let l(c) = -3*c + 10. Let d(b) = -3*l(b) + 2*t(b). Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -149*a + 124*a - 200 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 18, 6, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away 273?\nAnswer: -273.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/(x\/((x*x**1*x)\/x)))**(2\/69)*(x*((x*x**(2\/7)*x)\/x)\/x*x\/x**(-2\/9))**(-12) assuming x is positive.\nAnswer: x**(-14452\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115923 or -115925?\nAnswer: -115925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:59 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 11*s - 31*s - 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*h - 15 = 0, -49 + 29 = -4*t + 4*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 + 4 = 0. Let i be 23\/(-1 + 0) - k. Let g be 4\/(-6) + (-56)\/i. Solve 9 = -3*u - 0*u, 0 = a + g*u + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 3*x**4 - 5*x**4)*(0*x - x - 3*x) + (3 + 2*x**4 - 3)*(-1 + 1 - 3*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 - (21\/6 - 4). Suppose 2*a = w + 211, s = -6*a + a + 2*w + 526. Calculate the lowest common multiple of 22 and a.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10128*d**3 + 5062*d**3 + 5064*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1. Let v(r) = 43*r - 2. What is -2*u(y) - v(y)?\nAnswer: -43*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dood when four letters picked without replacement from oaadoadoaaooo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 1, u: 1, g: 3}. What is prob of sequence zrr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-7)*v*(v*v\/(v\/v**(4\/5)))\/v)\/(v**(-1))**2 assuming v is positive.\nAnswer: v**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*b - 70 = 8*b, 4*y + 53 = -b. Do -13 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 16\/15*u**5 - 1042\/15*u**4 + 0 + 2048\/15*u - 3712\/3*u**2 + 5846\/5*u**3 = 0.\nAnswer: 0, 1\/8, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 18 + 3 = 0. Let u(x) = x**2 + x - 1. Let h(a) = 2*a**2 + 3*a - 3. Let v(f) = d*u(f) + h(f). Let q(m) = m. What is v(q(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = -21. Let p = 42 + -36. Let q be (-3)\/p*8\/12. Which is the nearest to q? (a) -2\/13 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -37*p**5 + p**3\/3 + 90*p - 25. Find the first derivative of v(j) wrt j.\nAnswer: -740*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2274 + -2253. What is the greatest common factor of 225 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*10\/(-25))\/(4*(-4)\/(-128))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -74 (b) 2 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 3*d + 1. Let f be z(-3). Let l = 13 + -16. Calculate the remainder when 31 is divided by ((-102)\/18)\/(f\/l).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263\/5 + 53. Let h = 10 - 7. Let c be ((-40)\/(-210))\/(2\/h). Put c, j, 1 in ascending order.\nAnswer: c, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpcpjzi. What is prob of sequence zp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/(4\/(-10)). Suppose -p = f*k - 22, -3*p + 6*p - 2*k - 26 = 0. Let w(m) = 5*m - 3. Calculate the remainder when w(5) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9653)\/(-196) + (-95)\/380.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + 19 + (23 - -4).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 237813, 951253, 2140331, 3805053, 5945425, 8561453?\n\"Answer: w**3 + 237813*w**2 - 6*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raba when four letters picked without replacement from {b: 4, r: 8, a: 2}?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 7*f + 3. Let j be h(7). Let c be (-3 + 1)*(-1)\/(-2). Find the common denominator of 67\/6 and (702\/(-21))\/(c - j).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-1)\/(sqrt(704)*1) + -3.\nAnswer: -3 - sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1538.9317 + 1539. Let t = a - 0.068300946. Round t to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 5*f**3 + 8*f**3 - 2*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4411 is divided by ((-364)\/(-65) - 5)*160.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*n = -14, 3*n = 2*h - h - 14. Suppose -5*d - 3*z = -h*z - 50, -5 = d + 4*z. What is the highest common divisor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11310970 = -254*g + 223*g. Round g to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 1647 = 3*a + 1628, 31*o + 5*a - 419 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-1\/2)\/a)))**44 assuming a is positive.\nAnswer: a**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386457 divided by -95.\nAnswer: 386457\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2, b: 2, y: 2, k: 1}. What is prob of sequence ylp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 7*s - 4. Let c be a(6). Suppose -28*q = -24*q. Suppose q = -c*z + 36 - 8. What is the highest common factor of z and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11216404 (base 7) to base 6\nAnswer: -32554321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhhzhznzhn. Give prob of picking 2 z and 1 n.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = 3. Which is bigger: r or 2\/37?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**7\/1260 + j**6\/270 + j**5\/180 + j**3\/6 + 2*j. Let g(x) be the second derivative of l(x). Solve g(s) = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 2, -1\/2, 38, -595 in decreasing order.\nAnswer: 38, 2, -0.1, -1\/2, -3, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + -0.01. Let l = i + -1.02. Let p = l + 0.6. Round p to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -464140934*p**3 - p**2 + 28722743*p - 1 wrt p.\nAnswer: -2784845604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*a - 14 + 2, -a = -5*l - 3. Solve -2*v - 2*v = l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 - 930 = -17*q. What is the remainder when q is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110020221220 (base 3) to base 9\nAnswer: -4406856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 18*t**2 + 31*t - 475. What is v(19)?\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = i + 24, 3*l - 21 = -6. Let a = -13 + 3. Let c = a - -13. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - 30. Let t be (-12)\/21 - 402\/k. Suppose -80 = t*i - 11*i. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 23*y + 146*y**3 - 3 + 3 + 68*y + y**2.\nAnswer: 146*y**3 + 2*y**2 + 91*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*p**3 - 743*p**3 + 2 - 2.\nAnswer: -825*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2224204 + -32420?\nAnswer: -2312124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0860705 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1388 and 27787066.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202557 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 730836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - 23\/(-5). Suppose 2*p + 2 = -3*a, -3*a + 2*p + 9 + w = 0. Suppose -10 = -0*k - 5*k. Calculate the remainder when a is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201495867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -8. Let o = 5 + w. What is the units digit of o\/(-2)*12\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140400101 + 0?\nAnswer: -1140400101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7232 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-7) - (3 - 8\/(-14)). Put 3.1, 1, 3\/2, w in descending order.\nAnswer: 3.1, 3\/2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 31.91\nAnswer: -191.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2010 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r + 1. Suppose -3*u - 3 = v, u + 2*u = v - 27. Is l(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24237985 and -0.2?\nAnswer: -4847597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 34*o**2 + 42*o - 200. List the prime factors of r(6).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12644 + 12654. Let s(v) be the second derivative of 16\/3*v**3 + 0 - p*v + v**5 + 0*v**2 + 0*v**4. What is the second derivative of s(b) wrt b?\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/39*9*-1. Let t = -22 + l. Suppose t*m - 5 = 1, -5*m = d - 18. Solve -g = -2, -4 + 2 = -2*h + d*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-366)\/5)\/(6\/(-15)). Suppose -2*j + h = 33. Suppose -3*b = 2*b - 150. Calculate the highest common factor of b and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10878, -22810, -36844, -54030, -75418, -102058, -135000, -175294?\n\"Answer: -175*u**3 - u**2 - 10704*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1135*k - 4518. Let u be a(-4). Solve -15*g + u - 157 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*-7*4\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019958233 rounded to 7 decimal places?\nAnswer: -0.0001996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4598*f**3*q - f*q - 58*f + 3*q wrt f.\nAnswer: 27588*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 179 (b) 0.251 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35517, 35506, 35485, 35454, 35413, 35362, 35301?\nAnswer: 35230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put together -5295135.661 and 0.5.\nAnswer: -5295135.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3267 and 9.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + -8 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1431*i**3 - 5268 with respect to i.\nAnswer: 4293*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22312110122003 + 3?\nAnswer: -22312110122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -614766?\nAnswer: -614772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12099914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**4 - u**4 + u**4 + (-4*u - 1 + 3*u - 3)*(-u + u + 2*u)*(-361*u**2 + 723*u - 723*u) to s*u**3 + i*u**2 + x + t*u**4 + b*u and give s.\nAnswer: 2888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 37*r**2 + 1. Let a be m(1). Let u = 2 - 0. Let s be u\/(-7) - (-3609)\/63. What is the greatest common divisor of s and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 31.21. Let y = -0.99 - c. Sort -5, 2\/5, y, -3 in decreasing order.\nAnswer: 2\/5, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**3 + 4*n - 7. Let m(a) = 384 + 6*a**3 - 381 - 2*a**3 + a - 3*a. What is 5*m(o) + 2*q(o)?\nAnswer: 2*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 - -0.23. Let v = p + -0.26. Let a = v - 0.16. What is the nearest to -1 in a, 7, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w - 6*w - 17 + 0 = -8*x + 3, -12 = -2*w - 2*w for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9674.784 tonnes?\nAnswer: 9674784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(30\/(-110))*1*6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 0)*2\/6. What is the second biggest value in q, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r - 27. Suppose -47860 - 25615 = -r*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 5*v - 1. Let r be o(-5). Let d be 1*-2*21\/(-14). Let i = -5484 - -5481. Put i, r, d in ascending order.\nAnswer: i, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:11 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 430877\/6431 - 131\/2. Find m, given that -3*m**3 + 2*m**4 - 1\/2*m**2 - o - 1\/4*m**5 + 13\/4*m = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -y + 4*t - 16, 2*t = -2*y + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**2 - 24*i - 99. Let c be g(-5). Suppose -37 - c = -8*y. Which is smaller: y or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.35, 5, 1\/3?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 28. Let n = -31 - -45. Let o be w(n). Suppose o = q - 2*q. Is q bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*o - 627 = -7 + 2170. Let h be 2 - (2\/(-1) - 0). What is the third derivative of -m**4 - 10*m**2 + 0*m**4 - o*m**h - 26*m**2 wrt m?\nAnswer: -768*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/319848 and -145\/719658?\nAnswer: 2878632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (0 - 3 - -3)) + 5 + -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9)*m**(-4\/5)*(m**(2\/3))**(1\/10) assuming m is positive.\nAnswer: m**(-146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11506202.\nAnswer: 2, 907, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45979 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**4 - 214*l**3 + 767*l**2?\nAnswer: -168*l - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -4, 314 in decreasing order.\nAnswer: 314, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 32. Calculate the remainder when (-6)\/10 + (-3553)\/(-55) is divided by w(-27).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11514649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -371, -718, -1039, -1316, -1531?\n\"Answer: 3*a**3 - 5*a**2 - 353*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 8*o**2 - 2*o**2. Let l(j) = -j. Give m(l(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2545835\/129 + -19735. Let h = 565\/516 + t. Factor -3\/2*z + 1\/4*z**2 + h.\nAnswer: (z - 5)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 4)*78\/(-30).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-17)\/(-3). What is the closest to 2 in s, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = 2. Let q(g) be the third derivative of -g**4\/8 - 7*g**3 - 78*g**2. Let c be q(-16). Put c, k, 3 in descending order.\nAnswer: c, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*j + 70881 = 0, -30867 = 4*k - j - 87585. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.061 (b) 0.08 (c) -12 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2288461, -4576964, -6865467?\n\"Answer: -2288503*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q - 1 + 1)*(1 + 6 - 4) - 2*q - q + 5*q - 1 + 1 - q + (1 - 1 + 2*q)*(1 + 3 - 2))*(-1 + 1 + 2).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11811762*h**3 - 3*h**2 - 29145*h - 1 wrt h.\nAnswer: 70870572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 7) to base 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0 + 3\/2*m**2 - 1\/10*m**6 - 3*m + 0*m**5 + 0*m**3 + 0*m**4. Differentiate d(l) wrt l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1292\/77 + 249\/11. What is the common denominator of a and ((26\/(-11))\/2)\/(88\/(-264))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23030, 23028, 23024, 23018, 23010, 23000, 22988?\n\"Answer: -m**2 + m + 23030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 29*o - 208. Determine c(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2)**(-49)*(s**(-1\/5))**(3\/11)*(s\/s**(4\/5)*s**(2\/17)*s*s)\/(((s**(-5)\/s*s)\/s)\/s**(-2\/7)) assuming s is positive.\nAnswer: s**(-909903\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4))\/i)\/i*i**(6\/5)*i**(-1\/3)\/(i*(i*i*i*i**(1\/4)\/i*i*i*i)\/i*i) assuming i is positive.\nAnswer: i**(-143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*h + 30*h + 1080 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 1:38 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (11 - (-19 - -37) - -8).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16752 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 20 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 2*f**3\/33 + 26*f**2\/11 + 338*f\/11 + 14. Factor b(n).\nAnswer: 2*(n + 13)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7437 - 6291 = -6*w. Suppose w = 33*l - 20*l. Does 44 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u, 0*q + 4*u + 6 = -3*q. Let b be 1\/q - (-16)\/(-32). Is 1\/4 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50762244 divided by 1952394\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -315*w**5\/2 - 5787*w**2 + 112*w - 25. Differentiate x(t) wrt t.\nAnswer: -9450*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 19 - 5. Solve 0*q - y*q = 2*u + 6, 3*u = -2*q - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**3 - 2*c + 1 - 4 - 4 + 2 as i*c**3 + g*c**2 + m*c + f and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/169020752 and -91\/2078124?\nAnswer: 507062256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/25 in 2\/7, -481, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1215 - -1864. What are the prime factors of h?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2 - 16 + 6 + 5 + 6*q. Let c = 3 + 0. Calculate the remainder when l(c) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -n + 54, -70 = -5*x + 10661*n - 10666*n for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4750559.\nAnswer: 11, 431869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrrxrzxxxr. Give prob of picking 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 454150162 or 3?\nAnswer: 454150162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxbxbbwwbcb. What is prob of picking 1 w and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 0.02 (b) 2.68 (c) -1 (d) 3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 + 0*u**3 + u**3)*(-u - 3*u + 2*u) - u + 0*u - 5*u**4 + u - 842*u**4 as z + r*u**3 + n*u**2 + c*u + h*u**4 and give h.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1535\/3 - 512. Which is the closest to f? (a) 2 (b) 1\/25 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 586 and 343103?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2207 - (23 + -7) - (-4)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60438 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/7))\/k**(-1)*k**(-2\/27)*k**(2\/5))**49 assuming k is positive.\nAnswer: k**(17276\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aden when four letters picked without replacement from {p: 1, e: 2, d: 1, a: 2, x: 2, n: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 14, 3, -20, -55, -102?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 6. Give d(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0082201648 to 5 dps.\nAnswer: 0.00822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960)\/sqrt(4))\/(sqrt(125) - (sqrt(125)*-2 - sqrt(125)) - sqrt(5)) - (4*(sqrt(432) + -3*(sqrt(432) + 0)))**2.\nAnswer: -27648 + 4*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 + 3. Let j = -9438 + 9451. Which is the nearest to h? (a) j (b) 1\/6 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -224 + 243.3. Let i = t - 14.3. Sort -2\/5, 2\/9, i, -4 in descending order.\nAnswer: i, 2\/9, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**3\/3 - 223*g**2\/2 - 678*g + 1053. Suppose n(z) = 0. Calculate z.\nAnswer: -3, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15\/188 (b) 3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.05889 plus 0.5?\nAnswer: -9.55889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69a - 4?\nAnswer: -6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2255cca - a?\nAnswer: 2255cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1185\/105 - (-9)\/(-7)) + (1735\/(-145) - -2)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 49 - (-47 + 27).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -7. Let y = -9 + s. Is (y - -2) + -1 + 25 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7950?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 16.99. Let k = 0.29 - y. Let s be (-2)\/17 + -3 - -3. Which is the second biggest value? (a) 0.4 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-604912)\/70 + 1)\/(6\/(-10)).\nAnswer: 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**5 + 3*a**4 + 11*a**2. Let b(g) = 4*g**5 + 5*g**4 + 21*g**2. Let y(p) = -3*b(p) + 5*v(p). Find the third derivative of y(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 4 + (5 - -2). Let x = i - 5. Suppose -52 = -0*l - 5*l + 3*p, -3*p + 58 = x*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 8*g**2 + g - 5. Let s(p) = -p**3 + 4*p**2 + 8*p - 7. Let j be s(5). Let d be k(j). Solve 2*m - 15 = -d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 532797280 and 2?\nAnswer: 532797280","meta":{"dup_signals":{},"source":"numbers__lcm_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: Simplify ((j*j**(5\/6)\/j)\/(j*j\/(j\/j**4)))\/((j**1\/j)\/j*j)**34 assuming j is positive.\nAnswer: j**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -34*t**3 - 2*t**2 - 2*t. Let d(c) = c - 2. Let k be d(1). Calculate the remainder when 99 is divided by z(k).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.21078 days to milliseconds.\nAnswer: 795811392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 55*t - 47 + 314*t as m*t + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 8*b)*(-5*b + 1 - 1).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63891141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n**(-2\/19)*n)\/(n**(1\/2)\/n)**(-1\/65) assuming n is positive.\nAnswer: n**(4103\/7410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (0 + sqrt(605))**2 + sqrt(605)).\nAnswer: 11*sqrt(5) + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -38, -54, -70, -86, -102?\n\"Answer: -16*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = o - 4*b, 0 = 2*o - 5*b + 2. What is the third derivative of 3*k**2 + 11*k**3 - 26*k**3 - 3 + 17*k**3 - o*k**5 wrt k?\nAnswer: -240*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1221 + 882153*n**2 - 227 - 879492*n**2 wrt n.\nAnswer: 5322*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1298, -2855, -4696, -6827, -9254, -11983?\n\"Answer: -m**3 - 136*m**2 - 1142*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(425) - sqrt(425)) + sqrt(425) + 2 + -4 + (sqrt(136)\/sqrt(32) + -5)**2 + 2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from kkqkgqqk?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 23241?\nAnswer: 23233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.6. Let u = 43 + -43.3. Let v = -0.11 - -0.01. Which is the closest to 3? (a) u (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 35. Let l be m\/2 - -5*16\/(-20). Solve 4*f + l = w + 7, 5*f = 4*w - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**4 + 22699603*d**2 + 71399331 wrt d.\nAnswer: 12*d**3 + 45399206*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5340, 10528, 15716, 20904, 26092?\n\"Answer: 5188*n + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:34 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)*d**11 assuming d is positive.\nAnswer: d**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616091723.\nAnswer: 7, 617, 86531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2299 or -21758?\nAnswer: -2299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0 - 8\/3*p**3 - 21\/2*p**2 + 10*p. Is x(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a - 6. Let k be t(-5). Suppose k = 3*m - 16. Suppose 3*w - b = 26, 0 = -0*b - 2*b - m. What is the lowest common multiple of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 5*t**5 + 2*t**5 - 3*t**3 + 2*t**5 + t**5 - 4*t**5 + (2 - 2 + 2*t**5)*(-2 + 4 - 1) - 2*t**5 + 4*t**3 - 4*t**3.\nAnswer: -4*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 10*v**2 + 16*v - 7. Let o be x(11). Let p = o + -45. What is the greatest common divisor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 15)\/(1\/2). Let b = 56 + d. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2742 and 197424.\nAnswer: 197424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 94.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 5*z - 3*z)*(1493*z**2 - 166652 - 22809*z**2 + 166652 - 56925*z**2).\nAnswer: 156482*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11650)\/(-699)*(-3)\/2. Let i = -2 - -2. What is the units digit of (y - i)\/((-2)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 11:01 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 22*r**2 + 32*r + 177. Let a be o(20). Solve -q + b = -2*b + a, 5*q + 2*b = -17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 - (-8)\/(-28). Let d(r) = r**3 - 4*r**2 + 5. Let j be d(4). Solve 2*k - 5*q + j = g, -2*q - 3*q - 15 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31107379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a757 + 3?\nAnswer: -11a754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 220?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(171)).\nAnswer: -10 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275199 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 392 + -392.012. Are 0 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48792569 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:46 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 80*x + 800.\nAnswer: 2*(x + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 + -208. Let x be ((-24)\/4 - -6)*1\/(-3). Sort x, j, -3, -1.\nAnswer: j, -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1063678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = t - 172. Calculate the greatest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49096 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -758 + 758.695. Let n = v + 0.305. Which is the closest to -1? (a) n (b) -0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.65, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*p - 375*p - 312 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*p*w**2 + 7*a*w**2 + 3*a - 355*p*w**2 - 5*p*w wrt a.\nAnswer: -p*w**2 + 7*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000160219 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 448307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 3083076.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 - 173. Suppose -6*m - 1778 = -f*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2719 and 21.195.\nAnswer: -26.9579205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 42 = 3*b. Let m = 25 - b. Let n = m - -3. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = 5*a, a - 12 = k - 2. Suppose -5*v - 245 = -8*v - 5*w, 0 = a*v + 2*w - 440. What is the greatest common factor of v and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 - -0.02954.\nAnswer: -475.97046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(188 - 191 + 3*v + v)*(-1 + 1 + 1)*(0 - 1 - 1) + (8 - 5 + 3)*(-v + 0*v + 2*v) to q*v + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jynjnynjn. Give prob of picking 3 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*m**3 + 21599 + 44*m**2 + 75*m**2 - 37*m**3 - 119*m**2 as y*m**2 + k*m**3 + g*m + h and give h.\nAnswer: 21599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.2 (c) 14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1712992 + -1714940.022. Let v = 1955 + t. Let p = 7 - v. Round p to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 720\/(-3780)*3\/4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -2*k + 5*c, 0 = -2*k - k - 3*c + 585. Let i = -595\/3 + k. Factor 2\/3 - 2\/3*p**2 - i*p**3 + 5\/3*p.\nAnswer: -(p - 1)*(p + 1)*(5*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g + 13*g + 13*g + 6*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-309.93924\nAnswer: -123.975696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2*w - 4, -15*q + 16*q + 12 = 3*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:36 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 - 66*a - 68. Let z be f(-1). Let n(v) = -v**3 + v**2. Let h(i) = 4*i**3 + i**2 - 2. Give z*n(b) + h(b).\nAnswer: b**3 + 4*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60\/(-72) + (-383)\/(-6) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -686700 by 27468.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 1:49 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 200*q. Let y(p) = -9510*p**2 + 5*p. What is y(h(i))?\nAnswer: -380400000*i**2 + 1000*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.168, -6215 in ascending order.\nAnswer: -6215, 0.168, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*z - 4*z - 14, s = 4*z. Let o be 2 - 21\/(-3) - (-12)\/s. Solve 0 = -o*g + 4*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8342 is divided by 347.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16176133 is divided by 1069?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5366.4 and -266?\nAnswer: 1427462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 236?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 20. Let r = -5 + n. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1611239 - 26420.6588761. Let c = 26525.82142 + m. Let y = 105 - c. What is y rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 13, 1, -27, -77?\n\"Answer: -n**3 + n**2 + 2*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -q - 5 - 0, -4*a + 2557 - 2598 = 3*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 20*s - 586 + 153 + 279.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3122 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 22.3. Sort -3, -22, w, 2\/5 in descending order.\nAnswer: 2\/5, w, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77*k*o + 3*o + 57 wrt k.\nAnswer: -77*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - 17 + 17)*(8*s + 13*s - 5*s) in the form i*s + z + g*s**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r + 6. Let x be a(-3). What are the prime factors of 0 + (-3 - -1) - (x + -34)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417232741?\nAnswer: 43, 61, 73, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -44. Suppose 0 = 3*n - d - 8, -n + c*d - 26 = -10. Sort n, 3, -3 in increasing order.\nAnswer: -3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, -4, 1\/5, 0 in descending order.\nAnswer: 1\/5, 0, -4\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {c: 1, b: 3, e: 3, a: 5}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = i + 16, -2*i - 11 = -n. Suppose 13*h**2 + 2*h**n + 16*h - 23*h**2 - 8 + 0*h**3 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14471 - 506434\/35. What is the common denominator of o and 89\/75?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117229 by 7723.\nAnswer: -117229\/7723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577794, 577829, 577864, 577899?\nAnswer: 577934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 4:44 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428031915 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -307230, -5, 0.28.\nAnswer: -307230, -5, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert -26152 (base 7) to base 12.\nAnswer: -402a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 12 = -15*z. Suppose a + i - 8 = 0, -a - 2*i + 2 = -4*i. Suppose -a*w + 5*w + 3 = 0. Solve 0 = -z*d - w*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1175 or 1176?\nAnswer: 1176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 10 + 183371*t - 2 - 11 - 4.\nAnswer: 183371*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403233348 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 11617?\nAnswer: 11617.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*s + 21 = 0, 202*s + 178*s + 91 = -3*g + 382*s for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**4\/9 - 232*j**3\/9 + 1004*j**2\/3 - 9392*j\/9 + 8528\/9 = 0.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119\/16 + -205\/16. What is the common denominator of ((4740\/318)\/(-2))\/(-2) + -3 and f?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/162)\/(98\/34398)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r + 1. Let p be c(1). What is the remainder when 21 is divided by (-2)\/((-8)\/p)*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(432) - -3*sqrt(432)))**2 - (sqrt(432) - (sqrt(432) + -1)**2*3 - sqrt(432)) - 4*(2 + sqrt(432) + -2)**2*-2.\nAnswer: -72*sqrt(3) + 66963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/22*(-4)\/12*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a + 3*a)*(a + 0 + 0)*(2*a + 2 - 2) - 39*a**2 + 39*a**2 - 37*a**3 as c*a**2 + u + q*a**3 + o*a and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353053668 by 49951.\nAnswer: 7068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -231561?\nAnswer: 231554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) -162 (b) -1\/2 (c) -0.4 (d) 3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 11*l**8\/7 - 35*l**4\/12 + l**3\/2 - 9*l + 5. Find the third derivative of i(s) wrt s.\nAnswer: 10560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*r = -7*n + 36, 0 = 2*n + 3*r + 4. Solve -5*j - n = p, 2*j - 3 = 3*p + 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.8 from -20385942432.\nAnswer: -20385942433.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6406333*s**4 + 6*s**3 + 3*s**2 + 3*s + 2275820 wrt s?\nAnswer: 153751992*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**11*t\/(t**8*t)*t**9\/t*t\/(t*t**(-11)) assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 252.714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s = 45. Let l = 0.4 + -0.5. What is the nearest to s in -2\/5, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let t be 743493\/j - (-2 + 5). Let g = t - 353490. Round g to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 538086 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*(sqrt(432)*-1*5 - sqrt(432)) + 5)**2)*3*-4.\nAnswer: -4665876 - 43200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 3*o**3 + (3*o - 3*o + 6*o)*(0*o**2 + 3*o**2 - 4*o**2) to the form v + h*o**3 + k*o**2 + i*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 2\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1485, -2875, -4265, -5655, -7045, -8435?\n\"Answer: -1390*h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 15 = -4*l + 3*w, -l + 2*w - 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 5*g + 2. Let s(i) = -13*i**2 - 20*i + 7. Let j(w) = 9*q(w) - 2*s(w). What is j(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3792, -3811, -3830, -3849?\nAnswer: -3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/49*(18018\/(-572) - (-17 + 3\/1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1625 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjlimllcmilcj. What is prob of sequence il?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899544991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166788 and 3060?\nAnswer: 14176980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*(-6)\/(-6))\/(-1))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*r + 1062 = 18537 + 1094 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 = 5*w - 2*n - 295, w - 18 = -4*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (103000\/30 - -6)*18\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229799119?\nAnswer: 11, 37, 564617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 0 = 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*r = -4, 2*n + r = -0 - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 9. Let q be m(3). Factor q + 1\/4*x**2 - 1\/2*x**3 + 1\/4*x**4 + 0*x.\nAnswer: x**2*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 + 20*x**2 - 4*x + 74. Give o(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275*o**2*w**3 + 3*o**2*w**2 - 2036*o**2*w - w**2 wrt w?\nAnswer: 1650*o**2*w + 6*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.7 + -1.3. Let r = z - -8. Which is the closest to 3\/4? (a) r (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.437918 months in years?\nAnswer: 2.1198265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 102683?\nAnswer: 102682.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 - 189 = -2*f, 3*f - 308 = -4*t. Let l be 3 - (2 - f) - -3. What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b**2 + 7*b - 8. Calculate r(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -1109\/517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 329 and 15?\nAnswer: 4935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:28 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 5)*(3*n + 2 - 2)*(2 - 2 - 1) - 2*n + 2 - 2 to u*n + x and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*f + 730*f = 798 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 28. Suppose k*q + 2*q - 952 = 0. Is 30 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, 3\/7, -1\/2 in decreasing order.\nAnswer: 1, 3\/7, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p = 2. Suppose 6*g - 32 = p*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:24 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.5414ml to litres.\nAnswer: 0.8805414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89741\/35 - 17944\/7. Let c = 9 + -6. Is c at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5796 + 6862. Does 49 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i = 41*i - 5*n + 24, i - 214*n = -213*n - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -24. Let b be (-2 + -34)\/(-2) + -4. Let g = b + -8. Solve j + g = c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**2 + 1\/48*c**4 + 1\/240*c**5 + 0*c**3 + 0 + 0*c. Suppose i(k) = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 2, h: 3, j: 1, f: 6}. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + (8 - 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1508?\nAnswer: -150a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337742 (base 14) to base 10.\nAnswer: 1749358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*n = -1 - 11, 4*j - 2*n - 24 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2885)\/(-20))\/(2 - 14\/8). Let c = -571 + m. Solve c = 11*p - 38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -38. Let l = c - 25. What is the smallest common multiple of 6 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525687 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2812056 and 80496.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1732432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 3*d**3 + 8*d**3 - 7*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33670810034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 - 4 = 0. Let a be (s - 0 - 0)*1. Find the third derivative of -5*n**a - n**3 + 0*n**3 - 2*n**3 + 4*n**3 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -99, 152, 639, 1440?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8968*g. Let v(w) = -4*w**2. Determine v(y(f)).\nAnswer: -321700096*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.651 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/(s**(2\/3)*s)))\/s*s))**(7\/5)\/((s*s**(-1\/5))\/s**(-6)) assuming s is positive.\nAnswer: s**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 5. Let p be 0 + (-1)\/((-1)\/q). Let h = 39 - 26. What is the greatest common divisor of h and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 2)*(-163 + 15*b - 157 + 315).\nAnswer: 105*b - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**8\/1848 - 4*z**7\/385 - 49*z**6\/660 - 13*z**5\/55 - 10*z**4\/33 + 2741*z**2. Determine q so that w(q) = 0.\nAnswer: -5, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4006, -8020, -12048, -16096, -20170, -24276?\nAnswer: -28420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -231, -229, -225, -219, -211, -201, -189?\n\"Answer: o**2 - o - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43535.\nAnswer: 5, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -70, -9, -1083, 55 in increasing order.\nAnswer: -1083, -70, -9, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9970673 litres to millilitres.\nAnswer: 997.0673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7*n - 6*n + 715 = 0, -5*n - 2143 = -3*o. What are the prime factors of o?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 - 415*y + 2916. Give n(7).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9651, -38305, -86065, -152931, -238903, -343981?\n\"Answer: -9553*j**2 + 5*j - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 11*p**2 - 17*p + 10. Determine u(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3369358.\nAnswer: 3\/3369358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 100*p = -0*m + 39*p + 729, 2*p - 9 - 15 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 = -m. Suppose -p = -3*f - 234, -8*f - 240 = -p - 3*f. Let c = -220 + p. What is the remainder when c is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80106 at most 80112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1176 by 6.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4553763 by -3.\nAnswer: -1517921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4047 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6905, 14267, 21629?\nAnswer: 28991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 + b**2 + b. Let i be c(-1). Suppose 5*g + 2*p = -2745, 11*p - 15 = 14*p. Let m = 564 + g. Solve -3*r - m = 2*s, i*r + 4*s + 9 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 13625?\nAnswer: 13624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**5 + 2*v**4 - 2*v**2 + v. Let w(p) = -3*p**5 - 3*p**4 - p**3 + 3*p**2 - p. Let b(o) = -5*r(o) - 3*w(o). Solve b(d) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65072179?\nAnswer: 101, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 16, a: 4}. What is prob of picking 1 a and 2 p?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i + 966. Let m be 1\/(-3) - i\/21. List the prime factors of (m\/(-2))\/(1\/(-2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12194721?\nAnswer: 3, 7, 11, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = -m + 138, 5*m = d - 38. Suppose -2*x - 17 = -5*o, 2*x + 5 = -3*o + d. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380892895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1610197355 to the nearest integer?\nAnswer: 40127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25199, 50403, 75607, 100811?\n\"Answer: 25204*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.1. Let h = 8 - 7.4. Let z = 0.8 - h. What is the closest to 1 in 2, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10)*25\/(-6))\/(72\/864)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63275, 66331, 69387, 72443, 75499, 78555?\nAnswer: 81611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14085 and 149244660.\nAnswer: 14085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 258176*r + 12136481 = 0. What is r?\nAnswer: -258223, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k + 2*k**3 + 6*k - 5*k**2 + 4 - 10. What is the units digit of p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 19. Calculate the remainder when 12 is divided by t(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086 + 62*k**2 + 538 + 548.\nAnswer: 62*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 674, 586, 434, 212, -86?\n\"Answer: -v**3 - 26*v**2 - 3*v + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 763033297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = -3*v + 350. Let r be v\/(-21)*(-4 + 7) - 5. Solve -j - 10 + 9 = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u + 6. Let y be h(0). Suppose -y*z + 1300 = 7*z. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {s: 2, k: 5, h: 3, o: 1, d: 1, c: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1728 = 8*f - 11*f, 4*f = 0. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-5842)\/184)\/((-1)\/208)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6 + 15. Suppose 2*z + f*z = -3*p + 490, 0 = -3*p + 4*z + 445. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(13)*1 + 5)*-6)**2 - (sqrt(325) - (sqrt(325) + -3 + 0))**2*-2.\nAnswer: 300*sqrt(13) + 1111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2*q**2 + 24*k**2*z + 57*k**2 + k*q**3*z + k*q**3 + 25*k*z wrt z.\nAnswer: 24*k**2 + k*q**3 + 25*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1875 and 475.\nAnswer: 35625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22526.\nAnswer: 2, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4568867ms in minutes?\nAnswer: 0.000024281445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8275999*i**2 - 29*i + 28. Let m be b(1). What is m rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(15\/(-9) + 2). Let v be 22\/(-6) + 2\/z. Let g be 1 + (-4 + 3)*v. Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-20)*(-77)\/(-14)*(-132)\/121?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.042 and 28.6.\nAnswer: 28.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 710188.\nAnswer: -5, -3, 5, 710188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 21, 63, -2 in ascending order.\nAnswer: -27, -2, 21, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 933\/19 - 7\/((-266)\/(-4)) and 189?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 43 = 5*z, -5*z + 24 = 4*p - 20. Suppose z*q - 4*q = 0. Sort 5, q, -7, 2 in ascending order.\nAnswer: -7, q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = 2*s, -5*b - 9 = 11. Suppose 4*v = 2*z + 182, -s*v + 0*z + 139 = -4*z. Let m = 51 - 21. What is the highest common factor of m and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2804, 2789, 2774, 2759, 2744?\n\"Answer: -15*m + 2819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - x)*(330*x - 2 - 171*x - 13*x**3 - 165*x + x**2).\nAnswer: 13*x**4 - x**3 + 6*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3164*f - 201696 = 2948*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 + (-47627)\/485 - 682\/140?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78 + 332)*((-223)\/(-2) + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/25*4\/16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 10, 2*s = -3*s + q + 280. Suppose -v + 51 - s = 0. Which is the third biggest value? (a) -6 (b) -2\/11 (c) 1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 11}. Give prob of sequence pttt.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, v: 1, g: 4}. What is prob of picking 2 q and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.2. Let p = 0.050342 - -0.049658. What is the smallest value in p, 3, 7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) 0.3 (c) -48\/563 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -32090 times 0.1\nAnswer: -3209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1) + 1 - -2. What is the tens digit of ((-8)\/20)\/r*-60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3376 + -1222. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/32*2*2*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*i + 16, -3*i - 5*r - 13 = -4*i. Let h be i\/3 - 6\/(-9). Suppose -9 = -m - h*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, -3, -0.11, 2\/21, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 24. Suppose 5*i - 15 = s. Suppose g = -3*r + 6, -3*g - 5*r + 20 = 2*g. Calculate the remainder when i is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -408, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6302372870 to the power of 1\/3, to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 4*z + 2. Let n(c) = -1. Let k(d) = m(d) + 3*n(d). Let y(x) = -5*x - 1. Determine -5*k(a) + 4*y(a).\nAnswer: -5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let t = 2.5 + 7. Let z = t + -9. What is the nearest to m in 3, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*((-18)\/(-2))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q**3 + 5*q**2 + 7*q + 7. Is m(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19692236 >= -19692236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 698*v + 1623. What is k(-173)?\nAnswer: 2661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i, 5*n - 13 = 3*i - 4. Suppose n*c - 9 = -c. Let w = -9708 + 9734. Calculate the remainder when w is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5468469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57400 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30221 or -30219?\nAnswer: -30221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -21*w**2. Let z(k) = -5*k**2. Let f(m) = 2*g(m) - 9*z(m). Let o(n) = -105*n. Give o(f(u)).\nAnswer: -315*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/39*(-3)\/1. Let o(s) = -5*s**3 + 2*s**2 + 3*s + 1. Let a be o(w). Suppose p - 5*p - 434 = -2*f, -4*f + a*p = -871. What are the prime factors of f?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23021094, -23021100, -23021110, -23021124, -23021142, -23021164, -23021190?\n\"Answer: -2*p**2 - 23021092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136622, 545746, 1227374, 2181506, 3408142?\nAnswer: 4907282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45288 and 6579?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhbjjjhiuki. Give prob of picking 1 i, 1 j, and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, b: 1, q: 2, e: 1, p: 2, t: 4}. Give prob of sequence pbe.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -18*d - 109. Factor 2\/7 - 9\/7*v**3 + 9\/7*v - 2\/7*v**d.\nAnswer: -(v - 1)*(v + 1)*(9*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.836 - 5.036. What is the second biggest value in -0.3, -0.5, 2, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 937 - 1792 = -929 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*f + 20, 4*s + 2*f = 2*s + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 22*x**2 - 22*x + 24. Suppose -102 = -8*f + 2*f. What are the prime factors of i(f)?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.2 (b) -20\/257 (c) -5\/4 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(325) - sqrt(325)) + 0 - (sqrt(325) - (5 + 0 + sqrt(325) - sqrt(325) - sqrt(325))))**2.\nAnswer: -200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, -23, 5, -4.\nAnswer: -23, -17, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 4. Calculate the remainder when 71 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15277 and 2618042.25.\nAnswer: 2633319.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902987.407 rounded to the nearest one thousand?\nAnswer: 1903000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178 and 345053?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42.09234 millennia?\nAnswer: 4209.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, -3, 0, 0.3, 4, -0.1533, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.025930207 and -0.3.\nAnswer: 0.0077790621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 157402.2603 to the nearest 10.\nAnswer: 157400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/((-4252)\/(-42520)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*o**5 - 8416*o**4 - 249316*o**3 - 1326776*o**2 + 7197952*o - 2242560 = 0. Calculate o.\nAnswer: -16, 1\/3, 3, 730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 4*i - 28 = 0, 0 = -5*p + 4*i - 33. Let k(m) = -7*m**3 + 2*m**2 - 1. Let h be k(-1). Let t = p + h. Solve t*d = 1 + 2, -x = -5*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*y = -64, r + 5*y = 11 + 7. What is the remainder when r is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.282364144 to 5 decimal places.\nAnswer: -1.28236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Determine i so that 7*i + 2 - 2*i**3 + 8*i**2 + 3*i + u*i**3 + 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4 (b) -2 (c) -3 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7833 + -6698. What is the highest common divisor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4464 or -4456?\nAnswer: -4464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/5759?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((35 - 19) + -20)*37)\/(-2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14121, -14135, -14147, -14157, -14165, -14171, -14175?\n\"Answer: v**2 - 17*v - 14105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 10.7. Let a = 586 + -585. Let d = -1.9 + 5.9. What is the nearest to a in -0.5, d, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = -6*t + 40. Let a = -31 - t. Let z(h) = 16*h**2 - 9*h + 12. Is z(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 2. Suppose 5*d + 0 = 5. Suppose 3*y + 2*z - d = 0, i*z - 3*z + 16 = 0. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (0 - 0)) + -4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17.3 equal to 791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8282 + -8277. Let d(s) = -s + 6. Let v(u) = 2*u - 12. Calculate j*d(c) + 3*v(c).\nAnswer: c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 6\/139 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0 + 0 + 15198*x + 2725*x + 4781*x. Let c(a) = -a. Determine c(r(p)).\nAnswer: -22704*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31046*f**2*o**2 + 11377*f + o**2 wrt f?\nAnswer: -62092*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26398304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + s**3 + 1428 + 1428 + s + 1422 - 4275 + 6*s**2. Let j = -5 - -6. Let c = j - -5. Determine i(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2628*l - 102488. Calculate p(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j + 1. Suppose 0 = -4*a + u + 74, -3*a = -u - 46 - 10. What is the smallest common multiple of a and m(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324222 (base 6) to base 12\nAnswer: 13672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 plus 5241.35014?\nAnswer: 5357.35014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.8 + -37. What is the second biggest value in 2, 1.7, x?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/((-4)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 201 + 91)*(-9 + 9 + 5*k).\nAnswer: 1160*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1928393110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142359.\nAnswer: 1142359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1331)*1*6 + sqrt(1331)) + (sqrt(605)\/(sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11)))\/(-2*sqrt(245) - sqrt(245) - sqrt(5)).\nAnswer: -5083*sqrt(11)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(68))*5.\nAnswer: 15 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 521113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 842892, 842839, 842788, 842739?\n\"Answer: h**2 - 56*h + 842947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 15?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261 - -519\/2. Suppose 3*x + 5*q - 1 = 0, 3*q + q - 8 = 0. Which is the second smallest value? (a) s (b) 3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 - 183 = -6*d. Let t be (-30)\/d - -13 - (-5 - -10). Factor -4\/11 - 3\/11*m**t + 7\/11*m.\nAnswer: -(m - 1)*(3*m - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, 47, 221, 465, 779?\n\"Answer: 35*n**2 - n - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**3 + t**3 + (9*t**2 - 3*t + 3*t)*(2*t**3 - 4*t**3 + 3*t**3) + 3*t**5 - 2*t**5 - 2*t**5.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from nbbbxlxbaaxl.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) -4.5 (b) 16\/7 (c) 17.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45409 and 12467?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x - 11. Let c(i) = 8*i + 174. Determine n(c(a)).\nAnswer: -80*a - 1751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 514, -5, 22 in increasing order.\nAnswer: -5, 22, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3370 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179446 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: Evaluate 1\/6*(-6)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/5, -1\/3, 3, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, -1\/3, -44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/((-396)\/48))\/(4\/9). Solve 5*a - a - 6 = q, w*q = -4*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 988 and 123994.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*o - 320*o + 134*o + 10746 = 0 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from {f: 3, h: 1, t: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2616989.2 rounded to the nearest ten thousand?\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -365 + 369. What is the second derivative of -2*a**4 - 234*a**2 + l*a + 4*a**4 + 10 + 20 - 32 + 99*a**2 wrt a?\nAnswer: 24*a**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 23*o**2 - 53*o - 28. Give i(20).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/3 - 65*i**3\/3 + 293*i**2 + 5845*i\/3 + 4900\/3 = 0.\nAnswer: -4, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 627*w**6 + 53672*w**3 - 98927231*w**2 wrt w?\nAnswer: 75240*w**3 + 322032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 6. Suppose 2*h - 2*m - x = 6, -2*h + 4*m = -14. Solve 3*q - 5*q - 2 = 0, h*j = 2*q - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 53 - 6*x)*(2*x**2 + 3*x - 3*x) + x**3 + x**2 - x**2.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174 - 72*o + 84 + 5*o**2 + 20*o + 92 to x + m*o**2 + v*o and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 25. Let d be (7\/(-14))\/(k\/(-36)). Suppose -d*a + 132 = -0*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 10*i. Is i > -2\/903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1, 519, -4, -2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3 - 5. Suppose 0 = -u + 5*n + 17, 0*u + 2*u - 10 = 2*n. Suppose -b = -k*b + u. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b - 1. Give s(-11).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:38 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = -4. Let h be s\/(-3) - 2\/(-3). Let u(q) = h*q + 0*q + 0*q + 0*q. Let x(z) = -z**2. Give x(u(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/12)\/(-5 - -3)*3. Is -2 - (4 + 1745)\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971.7187 micrograms in grams?\nAnswer: 0.0009717187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 46875 = -4*p, -4*p + 55428 - 8546 = 2*g. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 18*x**2 + 1 - 39*x**3 + 28*x**3.\nAnswer: -11*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 20. Suppose v*i = -s + 15, -2 = i + 3. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16342 is divided by 68?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 22 - 2. Let m(k) = k**3 - 7*k**2 - 18*k + 18. What is the least common multiple of m(9) and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*q + 66 = 122*q. Let t be (2\/(-4))\/(q\/132). Let o(y) = -3*y - 3. Determine o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 675.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 5. Let d(m) = m - 1. Let b(h) = 3*d(h) + r(h). Let j(f) = f + 1. Let y = -14803 - -14798. Give y*j(o) + 3*b(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 7*s**2 - 8*s - 8. Let o be a(-8). Suppose 0*y + y + 47 = 3*n, -4*n + 51 = -y. Let r = y + 25. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011111 - -101000111111?\nAnswer: 1000101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 75*q**3 + 237*q**2 - 3015*q + 2700.\nAnswer: 3*(q - 4)*(q - 1)*(q + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(24\/11)*(y**0*y)**24 assuming y is positive.\nAnswer: y**(216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 8*g**2 + 3*g + 64. Determine v(10).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25227, -25244, -25261, -25278, -25295, -25312?\nAnswer: -25329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.725*0.017\nAnswer: -0.012325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 + 10\/3*k + 2\/3*k**2.\nAnswer: 2*(k + 1)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14442*l**3 + 0*l - 7221*l**3 + 0*l - 7223*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 + 4*d - 81. Let k(j) = -7*j**2 - 4*j + 93. What is -7*k(t) - 6*w(t)?\nAnswer: t**2 + 4*t - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1408878 by -58.\nAnswer: -24291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*h**3 - h**2 - 17*h wrt h.\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**3 - 9050*i**2 + 27635*i + 797720 = 0?\nAnswer: -1813, -8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585442587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 486*l**3 - 1446*l wrt l?\nAnswer: 2916*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14136 + 14136. What is the biggest value in q, 0.08, 17\/10?\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2161 and 0.5?\nAnswer: -1080.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 - (0 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 - -158. Suppose -5*o = -o - 2*q - 756, a*q = o - 189. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-729))\/(((-430)\/(-430))\/(6\/1))\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2 - 2. Let d be u(0). Let k be (-66)\/d*(-2)\/3. Let n be ((-1)\/2)\/(-1)*k. Round n to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59760 + -742?\nAnswer: -60502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17136 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 328 = -323, 4*o + 4*q = 2412. Calculate the least common multiple of 258 and o.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*f + 3*i, -i + 0 + 2 = 0. Suppose -27*l + 26*l = 3*y - 27, -4*y + 4*l = -20. Suppose f*v = y*v + 5. Let s(z) = z**2 - 4*z - 3. Determine s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3)*-2 - sqrt(30)\/sqrt(1000)) + 1.\nAnswer: -21*sqrt(3)\/10 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9796\/277391?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 211864850 a multiple of 4756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 419052649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2. Let z(g) = 3*g. Let h(c) = 5*c - 8*c + 7*c. Let j(p) = -4*h(p) + 5*z(p). What is n(j(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(147)\/sqrt(3)*-4)\/(sqrt(63)\/(sqrt(72)\/sqrt(8))).\nAnswer: -4*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 18*t + 26. Let l be g(17). Suppose 11*w = -l*w + 38140. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -24) + -1 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a94 - 1?\nAnswer: 4a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26583 - 26570. Let k = -44\/5 + 9. Which is the closest to k? (a) 3 (b) 2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) 1498 (c) -0.02 (d) 0.5 (e) -0.1 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 1895855*n\/3 + 631952.\nAnswer: -(n - 1)*(n + 1895856)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-10) - (-8140)\/100. Suppose -7*d + w = -6*d. What is the highest common divisor of 48 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 630 - 655 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.279984 rounded to 3 decimal places?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:16 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/10*56\/(-63).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12233, -48921, -110059, -195641, -305661, -440113?\n\"Answer: y**3 - 12231*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + (-5346)\/(-660)*-10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 115, 111?\n\"Answer: -4*r + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58539 + -409106\/7. Let n = 95 - x. Which is the closest to 20? (a) -1\/9 (b) n (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 l when four letters picked without replacement from ylllylllllllylylll?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 2211191253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149207 - 118470337\/794. Let h = 1834965913 + -11655703505349\/6352. Let n = d + h. Find the common denominator of 21\/2 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 527\/395 - 1\/1185. Factor 0 + i*m + 4\/3*m**2 + 1\/3*m**3.\nAnswer: m*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167122 * -0.2.\nAnswer: 33424.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**3 + 3*o**2 - 3*o. Let q(f) be the first derivative of -175*f**4\/4 - 65*f**3\/3 + 65*f**2\/2 + 70. What is -130*b(z) - 6*q(z)?\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*i - 2)*(-291 - 120 - 33 + 38) to the form s*i + o and give s.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(72) + sqrt(2) + (sqrt(2) - (-2 + sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2)))**2.\nAnswer: 12 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b**3 - 4*b**3 - b**3)*(19 + 8 - 12)*(0 + 4 - 2) as u*b + y*b**3 + w*b**2 + v and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 28536 = -g, -2*g + 2*o + 84477 - 27385 = 0. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*y - 22, 0 = -5*c - 2*y - 0*y + 26. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -0.61, -5\/698, -12, -2\/7, -3\/8?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-828)\/(-54) + (-6)\/(-9). Let j(k) = -k**2 + 14*k + 15. Determine j(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3342972\nAnswer: 1\/1671486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3675561 (base 10) in base 6?\nAnswer: -210440253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12300220 (base 4) to base 14\nAnswer: -a13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10)*(-6280)\/23550?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -2 - (12 + 40 - 34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5159768 divided by -5\nAnswer: 5159768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = n + 1, 2*n - 6 = 5*x. Let d be 47585\/20 - n\/(-4). What is d rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 55. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -1\/4*z**5 + 1\/24*z**6 - 3*z**2 + 0*z - 4 + 5\/2*z**3 - 5\/24*z**4. Factor p(f).\nAnswer: 5*(f - 3)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18565)\/(-47)*1\/10*208\/104?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 37?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1897.19502 hours to weeks.\nAnswer: 11.2928275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:25 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/56 and -69\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.5, -3\/2 in increasing order.\nAnswer: -3\/2, -0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than or equal to 1673237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5641*v**2 - 5641*v**2 + 506*v**3)*(-21 - 15 - 3 + 8).\nAnswer: -15686*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 3. Let l(o) = o + 11. Let m(k) = 5*k - 15*k + 12*k + 21. Let u(g) = -11*l(g) + 6*m(g). Let b be u(-9). Give d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4800 is divided by 4797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 8*w = 109. Let m = 177 - w. What is the smallest common multiple of 6 and m?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**2 + 18*p - 25. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322302 (base 4) to base 6\nAnswer: -25230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 5:08 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9649491 is divided by 3216493?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.4 - 11.40094. What is v rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is -12 less than 230743?\nAnswer: 230755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -361?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let t(y) = -22600*y**2 + 24. What is d(t(k))?\nAnswer: -45200*k**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 534*k - 5*k**2 - 534*k + 51.\nAnswer: -5*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2 - -3) - (8372\/(-65))\/(-28).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61\/40 + -7\/5. Put i, -4, -1 in descending order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + 5?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 66 = -284*r - 54*r + 29426 for r.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/3 + 79501*l**2 - 795038*l + 3816208\/3 = 0. Calculate l.\nAnswer: -238513, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < 6350279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39 + 393*o - 45 - 36 + 0 + 26 - o**2 wrt o?\nAnswer: -2*o + 393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:50 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 34671648.\nAnswer: 138686592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.15 + 0.15. Let a = 17 + p. Let z = -0.041 - 0.059. What is the fourth smallest value in 0.4, -5, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179817 is divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*t**3 - 28*t**2 + 621*t - 322*t - 124*t**2 - 325*t + 16*t**3 - 2*t**4 wrt t.\nAnswer: -48*t + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.016 and -0.0151.\nAnswer: -0.0311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 27. Let s = 75.4 + h. What is the closest to -4 in 0, s, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 341.27 and -14.931.\nAnswer: -5095.50237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(832) + sqrt(13)).\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 346 and -202.\nAnswer: -69892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((-1 - (-29 - 0)) + 120 + -255 + 129)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i - 11*i - i)*(0 + 2 - 4).\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13658?\nAnswer: 2, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Let u(g) be the second derivative of g**5\/20 + g**2\/2 - 5*g. Let n be u(-1). Put n, o, -3 in decreasing order.\nAnswer: o, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**7\/42 + z**6\/12 + z**5\/15 - 192*z**2. Let h(w) = 3*w**4 - 5*w**3 - 2*w**2. Let v(b) = 9*h(b) + 4*y(b). Solve v(p) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978841.6 micrograms to milligrams.\nAnswer: 978.8416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180666943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n - 222. Let l be q(-20). Suppose -3*x + 3*w + 207 = 0, 2*x = -4*w + w + l. Calculate the remainder when 240 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7688.1 + 7687. Which is the closest to 0.02? (a) -0.3 (b) o (c) 0.3 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6429534 equal to -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34794153*x**2 - 2*x - 208853532.\nAnswer: -69588306*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = 69 - 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*d - 3*d = 14*d - 185620 + 193236 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3049 = -3*r + s, 0 = -4*r + 4*s + 1234 + 2834. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88367.07 kilograms in micrograms?\nAnswer: 88367070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(190)*2 + sqrt(190)))\/(sqrt(10) - (sqrt(110)\/sqrt(539) - sqrt(10))))**2.\nAnswer: 134064\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52403220 - -1?\nAnswer: -52403215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:34 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26112 or 26115?\nAnswer: 26112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let s(i) = 3*i - 2. Let t(x) = 4*x**3 + 2*x**2 - 3*x + 2. Let b be t(1). Give b*q(f) + s(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/70 of a week?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752062.\nAnswer: 2, 37, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -69. Suppose 2*d - 58 = u. Suppose d = -5*f + 403. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 348*p**4 + 7*p + 2.\nAnswer: 4176*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -17. Let u = p - 0. Suppose u = 2*g - g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -20. Let b = -26101\/9 - -2900. What is the second biggest value in n, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94.8 - 95.8. Which is the third smallest value? (a) 0 (b) 0.32 (c) -2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*l - 600, -4*a - 1000 = -2*l - 3*l. Let n = 330 - l. What is the highest common divisor of n and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -6*c + 24. Factor c*l**2 + 13*l - l + 0*l.\nAnswer: 4*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0518 * 0.075.\nAnswer: -0.003885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.42. Let n = 0.23 - -1.77. Which is the nearest to w? (a) 5 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8+-60259228\nAnswer: -60259236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.5285 and -603.\nAnswer: 30468.6855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*m + 20, 5*m - 20 = -0*a + 4*a. Suppose m*b = -2*z + z + 22, 2*z + 8 = 5*b. Solve o = 4*o - z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/3 + -2)*22\/8*3. Solve -63*l + 67*l = 5*t - 8, d = l + 2*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -578*y**2 + 2. Suppose -7*d = -4*d - 51. Let c = d + -14. Let f be r(c). Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219609*p**6*w**3 - p**6 + p**2*w**3 - 166*p**2*w**2 + 2*p*w**3 + 4*w**3 - 2 wrt p?\nAnswer: -26353080*p**3*w**3 - 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 - c**2 - 4*c + 4. Let q(u) = 4*u**3 - u**2 - 3*u + 3. Let s(f) = 6*q(f) - 5*t(f). Let j(l) = l**3 + l**2 - l + 1. What is -4*j(h) - 2*s(h)?\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {z: 6, n: 5, a: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -414.81841 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282383.\nAnswer: 5282383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048263 rounded to three dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d - 7*d - d**2)*(-5*d**2 + 5*d**2 + 3*d**2)*(0 + 33 + 6) in the form v*d + f*d**2 + u*d**4 + c + s*d**3 and give u.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2037594.3 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 87451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38775326 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8120 and 1820?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 9 - (-1 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -19*b**2 - 6*b - 12. Let a(z) = z**2 + z + 2. Let i(k) = 6*a(k) + g(k). Let d(l) = 17*l**2. What is i(d(f))?\nAnswer: -3757*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*z - 45, 2*a + 3*z - 1860 + 1895 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -245 in -2\/9, 1\/10, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*(-60)\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:03 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 922 - 497. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 377195 and 18200?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.8 + 75.6. Round c to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (945\/(-70))\/(3\/4). Let h = -11 - o. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -2*r**3\/33 + 256*r**2\/11 - 32768*r\/11 - 442. Factor y(x).\nAnswer: -2*(x - 128)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4895190 (base 10) to base 7.\nAnswer: -56415456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, z: 1, c: 1, e: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 - 10*k + 1. Let s be y(-5). Suppose -3*c = 7 - s. Let o be (2 + 22\/(-8))*2. What is the biggest value in o, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2 + 6*u - 5 + u**2 + u**2. Let n(v) = 12*v + 138. Let p be n(-12). Is y(p) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01499945814 rounded to 5 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 + n. Let v(a) = -766*a**3 + 0*a - 2*a + 760*a**3 - 1. What is -5*u(i) - 2*v(i)?\nAnswer: -3*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -267, 0.4 in decreasing order.\nAnswer: 2\/3, 0.4, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*l - 272*l + 11*l.\nAnswer: -414*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3862 divided by 104994\nAnswer: 1931\/52497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**4\/12 + 16*g + 2. Let b(u) = 6*u**2 + u + 2. Calculate -b(f) - 2*x(f).\nAnswer: -4*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-45) - (-140)\/495?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - (-1)\/(-2). Which is the nearest to -2\/3? (a) 3 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 6*w**4 + 24*w**2 + 4\/5*w**5 + 52\/3*w**3 + 7 + 16*w. Factor i(g).\nAnswer: 4*(g + 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let a(f) = -13*f + 2. Let x(h) = -12464*h + 1968. Let k(y) = -984*a(y) + x(y). Calculate k(q(c)).\nAnswer: 328*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25267 - -15297. What are the prime factors of d?\nAnswer: 2, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/(l\/(l*(l\/(l*l\/l**(3\/10)*l))\/l*l))*l)\/l)*l*l)**(-47) assuming l is positive.\nAnswer: l**(-2209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 2:13 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-3)*b))\/b**17*b*b\/b**(-12)*b**36 assuming b is positive.\nAnswer: b**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -36, -1\/4, -1, 9\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1041*u**2 + 1370*u?\nAnswer: 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -295 - w - 220 - 2*w - 474*w**3 + 3*w wrt w?\nAnswer: -1422*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 - 4*z**3 - z**4 + (-50*z**3 - 31*z**3 + 31*z**3)*(5*z + 2*z - 5*z) - 3489*z**3 + 3489*z**3 - 119*z**4.\nAnswer: -220*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243134 - 10443?\nAnswer: -304132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/7, 2\/3 in descending order.\nAnswer: 2\/3, -1\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 23*o**2 + 21*o - 18. Let r(y) = -y**3 - 6*y**2 - 2*y + 2. Let j be r(-4). Let f be q(j). Solve -f*k + 20 = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 459 + 73662. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -23 - 4. What is the highest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 29*z**3 - 4*z**2 + 2*z + 1. Let d(i) = 87*i**3 - 11*i**2 + 6*i + 3. Let v(w) = -6*d(w) + 17*p(w). What is the remainder when v(-1) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -209*z**2 - 204*z**2 + 412*z**2. Let f(b) = 3*b**2 - 67*b - 1. Determine f(m(g)).\nAnswer: 3*g**4 + 67*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535625456 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17311863?\nAnswer: 3, 149, 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 3*q + 6. Let h be a(5). Let v be (14 + -13)\/(0 - 1\/h). Let c = -26 + v. Solve c*t = 4*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**6\/15 - 507*j**5\/10 - 910*j**4\/3 - 4*j - 391. Find the third derivative of k(t) wrt t.\nAnswer: 48*t - 6084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 120, -5, -0.9, 3\/11, 3\/2 in ascending order.\nAnswer: -5, -0.9, 0.2, 3\/11, 3\/2, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*k - 105 = 2, -p + 22 = -k. Let i = 499 + -494. Suppose -2*u + 8 = -2*o, 4*u - 8 = 3*u - o. Solve i*w - u = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x + 5. Let n = -11 + 5. What is the remainder when s(n) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and 279940757976.\nAnswer: 279940757975.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 44 - 17 = 3*b, -2*b - 5*c = -23. Suppose -4*p + 8 = 0, q - 5*q - b*p = -1900. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**6\/360 + g**5\/60 + g**4\/12 - g**3\/6 - 2*g. Let u(a) be the second derivative of v(a). Give u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 + 24*a - 60. Let f be c(4). Solve f*q = -12*q - 192 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0211579 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -3114b1?\nAnswer: 3114b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-140) + 28\/70)*(-2)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/15 + 2\/(-5). Let i = -8047 + 8043. Which is the smallest value? (a) i (b) 2\/13 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209 - 4*j - 209)*(-3*j**3 + 4*j**3 - 2*j**3 + (0*j - 4*j + 5*j)*(3 - 3 - j**2) + j**2 - j**2 - j**3).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2514503128\/128177 + 137322\/7. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*0\/(-33) + 1 + 24. Let q(h) be the second derivative of -x*h + 0 + 0*h**2 + 0*h**3 + 2\/3*h**4. Let f(s) = -5*s**2. Give q(f(m)).\nAnswer: 200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1399 divided by -1399.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4)*-210*(-70)\/1575. Let y = -4 - 0. Is x less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1044348.\nAnswer: -1\/522174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n. Let s(g) = 961*g**2. Calculate s(m(o)).\nAnswer: 246016*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.9 + -40.15. Which is the third biggest value? (a) 0.2 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 33937 = -4*z, 5*z + 0*q + q + 42395 = 0. Let d = z + 13956. Is (-4)\/(-6)*d\/44 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzizisbzi. Give prob of picking 4 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 35 = -14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*(s*s*s\/s**0*s)\/s*s*(s\/s**(-2))**35)\/((s*s**(-2))**5*s**(-9)\/((s\/s**(-5\/6))\/s)) assuming s is positive.\nAnswer: s**(761\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -29372671 bigger than -29372669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 3*t + 12. Let z(n) = n**2 - 2*n + 11. Let p(d) = -5*r(d) + 6*z(d). Let v be p(-2). Solve 0 = l, -v*i + 0*i - 8 = 2*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - c**2 - c - 3. Let d(y) = y**3 + y**2 + y - 1. Let p(m) = d(m) - w(m). Let j be p(3). Is -1\/6 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 - (-3 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/33 and 61\/70972?\nAnswer: 212916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 612711, 613029, 613359, 613707, 614079, 614481, 614919?\n\"Answer: f**3 + 311*f + 612399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.5 (c) -2\/10615 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -104681, -418750, -942207, -1675058, -2617309?\n\"Answer: -p**3 - 104688*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 7*m**3\/6 - 7*m**2\/2 + m. Let y(w) = -3 + 3*w - 1 + w. Let k be ((-10)\/(-6))\/((-10)\/(-36)). Give k*q(o) - 10*y(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10038 - 331213\/33. What is the common denominator of h and -49\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 8*y**2 + 7*y + 3. Let v be x(-7). Suppose -q + f = -19, q - v*f + 55 = 5*q. Solve -2*b - q = -6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101\/335 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4911*j**6 - 323*j**2 + 2*j.\nAnswer: 589320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/63)\/(1\/4*-2). Sort w, 22, -3 in descending order.\nAnswer: 22, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8709428 weeks to days.\nAnswer: 6.0965996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46976584 to the nearest integer?\nAnswer: 6854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g. Let f be o(1). Let s(l) = -l - 8. Let m be s(-6). Let t be ((-5)\/(-30))\/((-2)\/m). Which is the closest to 1\/3? (a) t (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 + 6*a - 6. Let w = 10 - 16. Let o(y) = 5*y**2 - 5*y + 5. Suppose 0 = j + 6, 306*j = 5*h + 305*j + 19. Determine h*u(v) + w*o(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggggggdg. What is prob of picking 3 g?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**3 + 3\/80*j**4 + 0*j + 1\/1200*j**6 + 4 + 4*j**2 + 1\/100*j**5. Let u(q) be the second derivative of g(q). Factor u(l).\nAnswer: l*(l + 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, 2\/179, 0, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -79, -4, -11, -2, 14 in decreasing order.\nAnswer: 14, 11, -2, -4, -11, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 5*b)*(-4 + 1 + 4 + (0 + 0 + 1)*(117 + 310 - 207)).\nAnswer: 884*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose -w = 3 + d. Let m = 17 + w. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (8\/6 + 2))*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 12*y + c + 41, 13 = -y + 4*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2\/7 + 372*y\/7 + 11532\/7 = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 10 = -h. Suppose 0 = h*u - 59 + 19. Suppose -3*m + 5*w + 3 = u, 3*w = -3*m + 27. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 - 6*a - 1. Let p be 114\/(-15) - 6\/15. Let z be g(p). What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 1. Let g(l) = l + 2. Let a = -35 - -38. What is a*v(i) + 2*g(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 906249*b**6 + 2*b**4 + 5932*b**2 + 52*b wrt b.\nAnswer: 108749880*b**3 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -24. Is a smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1553 - -40160?\nAnswer: 35304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-10))**(-4\/29)*(t*(t*t\/(t\/((t*t\/(t*t**(-2)))\/t*t)))\/t)\/t*t*(t**(-23)*t)\/t assuming t is positive.\nAnswer: t**(-599\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86833915981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376825912.\nAnswer: 2, 103, 229, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 12:22 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1770 and 82482.\nAnswer: 412410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45917992 divided by -10.\nAnswer: -22958996\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.7, 1, -0.3, -28\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 - 13*v**2 - 11. Let m(x) = 2*x**3 + 6*x**2 - 5*x. Let c(n) = -n**3 + n + 1. Let z(p) = -5*c(p) - m(p). Determine -6*i(k) + 13*z(k).\nAnswer: 9*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*u - 3*x + 9, 4*u - 4*x + 12 = 0. Let b(h) = 2*h + 14. Let t be b(u). Solve 0 = t*w - 3 + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let o(l) = 2*l - 6. Let m be o(5). Let k(y) = -2*y - m + 4. Determine k(c(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -34. Suppose -d*p - p = -m - 22, -5*m = -4*p + 26. Let b(r) = -p*r - 2*r - r - 3*r. Let q(l) = l. What is q(b(c))?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1. Let a = 169 + -172. Let k(h) be the first derivative of -h**2 - 32. What is a*r(d) - k(d)?\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1188 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/555705 and -86\/555705.\nAnswer: 555705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, j: 2}. Give prob of picking 1 j and 3 l.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/2327130 and -77\/4845?\nAnswer: 44215470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*q - 21*q + 14*q)*(-11*q - 7*q - 17*q)*(-2 - 2 + 1)*(-5 + 3 + 4) to p*q + m + v*q**2 and give v.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -61. Let d(s) be the first derivative of s**4\/4 - 2*s**3 - 5*s**2\/2 - 5*s - 2. Let a be d(7). What is the greatest common factor of a and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13298723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 34. What are the prime factors of r(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 1.45. Which is bigger: 0.3 or u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001044443387 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o**1*o*o)\/o)\/o*o))\/o*o)**29\/((o*o**5)\/o**0))\/((o*o*o*o**(-3\/5))\/((o*(o\/o**(-1\/3))\/o*o)\/o)*(o*o**(1\/2))**(-17\/4)) assuming o is positive.\nAnswer: o**(-3563\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3 + 5*a**2 - 2681*a + 2548012 wrt a.\nAnswer: -3*a**2 + 10*a - 2681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 482 or 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let o = -37.3 + 37. Let a = o + 0.7. Put m, -0.4, a in descending order.\nAnswer: a, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445*p - 33190016 + 9673791 = 17359250. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 1254?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 + 0.04. Let g = 3\/11 + -23\/44. Which is bigger: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*a**3 + 52*a**3 + 1739169678*a**2 - 1739169678*a**2.\nAnswer: 148*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d)**(-39\/4)*(d\/(d\/d**(-1\/6)*d))**(-1\/32) assuming d is positive.\nAnswer: d**(7\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1663112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -0.6, 19, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111012 and 0.04?\nAnswer: -4440.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -2001?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13552231 and 561?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -140*o**2 + 2*o + 2. Let r be n(-1). Let m be 86\/6 - r\/(-105). What is the greatest common factor of m and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1932 + 2*p - 2*p + p - 2214 + 282.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 11*n - 232635 = 0. Suppose n + 2419 = 27*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 18. Suppose 3*x - a*h = 57, -2*x + h + 38 = -4*h. Let y(t) = t**3 - 9*t**3 + 7*t**3 - 9*t**2 + x - 4 + 11*t. What is y(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7310000 to the nearest 100000.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.05 (c) 3\/22 (d) 6\/5 (e) -2\/703 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.591652336 + 1.5917. What is x rounded to 6 dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11452 + 196108234\nAnswer: 196119686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 38*k - 74 - 32 = 0, -2*r - 17 = 3*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298755 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20792 or 20845?\nAnswer: 20845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1216 + -1215.7. What is the third biggest value in 0, 70\/9, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-21)*(-54)\/(-96)*(-1575)\/(-1350)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 - p**3\/2 - p**2 - 5*p + 5. What is d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158346218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let b(u) = 8*u. Let m(a) = b(a) + 6*y(a). Let l(r) = -r**2 - 6*r - 1. Let g(c) = -18*c**2 - 36*c - 6. Let x(h) = g(h) - 6*l(h). Give m(x(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((3\/(-102))\/(55\/110)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 + -158. Let k = -117 + 207. Calculate the greatest common divisor of k and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.259 and -16387.\nAnswer: -4244.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*i + 584, 3*g = -10*i + 5*i + 1449. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*f - 2*b, 0 = 3*f + 2*b - 12 - 7. Factor 0 + 2\/3*w**f + 4\/3*w**2 + 2\/3*w.\nAnswer: 2*w*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 0*q + 2*c + 16 = 0, 3*q - 1 = 5*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156893 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*l + 5*c, 2*l - c = 4. Let d = 106 - 113. Let o(m) = -2*m - 14. Let k be o(d). What is the nearest to l in k, -2\/7, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 - 1. Suppose 3*i + 2 = 5*i. Let j = -7 - -2. Let p = j + i. Calculate m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h + 112 = -3*t, -320 = 3*h + 5*t. Which is the biggest value? (a) h (b) 0.1 (c) -4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -15\/8, 1\/3, -0.01, -1, -14\/27?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 7*t**2 + 3*t**2 - 24*t**2 + 6*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhff when four letters picked without replacement from {f: 7, h: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 39276?\nAnswer: 274932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272875311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*2\/8)\/(((-870)\/(-30))\/1073).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 0 - (-92 + (120 - 44))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5955\/794*(1040\/24)\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1650\/495*672\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -744 divided by 16758\nAnswer: -124\/2793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3\/3 + 7*w**2\/2 - 7*w + 18. Does 13 divide j(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 91 + 95, 2*o - 24 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740837567 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59784721 * 3.\nAnswer: -179354163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, a: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12102*l**3 + 3*l**2 - 7*l + 2. Let j be h(-10). Let g = j + 17101628. Round g to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a2a - -e?\nAnswer: a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*3 + (-2 - -15). Solve -6 = -3*r + q, -3*r + 27 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*c + 4 = -0, 0 = 4*s + 5*c - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0150148659 rounded to 4 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (-2*sqrt(77))\/sqrt(7) - (sqrt(99) + -3)) + -5)**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31102 + 132103?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9145 or -1?\nAnswer: 1\/9145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14039 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 16*p**2 - 18*p + 30. What is i(-15)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/(sqrt(11) + sqrt(11)*4 + sqrt(11))*-1)**2 + ((4*sqrt(208))**2 - sqrt(52))*3 + 0.\nAnswer: -6*sqrt(13) + 89869\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63019 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5*f)\/f*f)\/f**(1\/3))**27 assuming f is positive.\nAnswer: f**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 7, k: 2, f: 1, i: 2, r: 1}. What is prob of picking 2 y, 1 f, and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 5. Let u be f(-4). Let r(v) = 755*v**2 + 5 - 4 - 580*v**2 + 2*v. Does 29 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnssfxsvnfxnx. Give prob of picking 2 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 560 - r**3 + 9*r - 1151 - 2*r**3 + 541 in the form i*r**2 + g*r + o*r**4 + n + m*r**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 213*g**3 - 13*g**2 + 44*g - 3. What are the prime factors of k(4)?\nAnswer: 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Suppose -2*t + 0 - 8 = -4*w, -b*t - 26 = -4*w. Is 2\/t*(-9)\/1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -141 + 27 - (0 - (-12 - 0))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -824.3000023101 - -824.3. What is r rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 89 times -4666?\nAnswer: -415274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(184 - 122 + 2*v + 0*v).\nAnswer: -6*v - 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -g + 4*g. Solve g - 1 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g - 9*g + 26*g + (-6 + 4 + 4)*(2*g - 3*g + 3*g) to the form z*g + y and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:14 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 913 = 163*k - 361. Suppose -4*h + 26 = -30. Calculate the remainder when h is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/18 and 127\/1759650?\nAnswer: 5278950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366900 and 3300?\nAnswer: 4035900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28\/3 in -1, -0.03, 2\/9, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbrbrbr. What is prob of picking 2 b and 2 r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = 0. Let u = -36820 + 36797. Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2105486 (base 10) to base 7\nAnswer: -23616305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 + 24*x**4 + 64*x**3 - 140*x**2 - 450*x + 500.\nAnswer: 2*(x - 2)*(x - 1)*(x + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(133) - sqrt(133)*-1)\/sqrt(7).\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -26*p**3 - 10*p**2 - 17*p + 26. Is z(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12127109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 32. Let a be o(-12). Solve -a*u + 2*l + 3 = -3, 4 = 4*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**4 - 2*c**2 - 2*c - 7. Let n(b) = b**2 + b - 1. Suppose 3 + 7 = 5*o. Let t(a) = o*n(a) + r(a). Find the first derivative of t(h) wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -972 + 972 - 28*w**3 + (-3*w + 7*w + 0*w)*(w**2 - 2*w**2 + 0*w**2).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-20\/11)*y*y)\/(y**4*y))\/((y\/((y*y\/(y\/((y\/(y**(-1\/7)\/y))\/y*y)))\/y))\/y*y**(-27)) assuming y is positive.\nAnswer: y**(1873\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let t(b) be the second derivative of -b**4\/12 - b**2\/2 + 79*b + 1. Let i(p) = 44*p**2 + 33. Let k(z) = -5*i(z) - 165*t(z). What is g(k(h))?\nAnswer: 6050*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1092.6 - -1143.47. Let o = 0.87 - r. Let y = 50.000034 + o. Round y to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.3415 (b) -3\/4 (c) -25468\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 26\/(-2))*-167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + ((-170)\/40)\/(-17). Suppose u = -0*x + 2*x - 5*s + 13, 3*s = 9. Let h = 4 - 3.6. What is the closest to x in h, -5, 1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 78*b + 12 = -74*b, 9*s - 41 = -5*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o + 0*o)*(2927*o**3 + 2920*o**3 + 3*o**2 - 5846*o**3 - 16).\nAnswer: 4*o**4 + 12*o**3 - 64*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 782 + -661. Calculate the lowest common multiple of 440 and z.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -238487 equal to -238487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(-5 - (-4)\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 1110110?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {x: 4, a: 6, i: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*h + 3785 = -3*h - 2767 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 378*z**3 + z**4 - 2 + z**4 - 376*z**3 to p*z**4 + h*z**3 + g*z + a + y*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from zbxkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 696*o - 1 - 110*o + 553*o. Let a be (-41)\/369 - (-20)\/18. Is j(a) 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 3480860 and 11646.\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 > -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -314 + 328. Let q = -4 + 18. Calculate the greatest common factor of z and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d - 1. Let m(u) = -8*u**2 - 9*u - 1. Let j(z) = -m(z) + 5*w(z). Suppose 0 = -h - 8*h + 27. What is the units digit of j(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0894 - -0.3106. Let l = 1 + 1. Let n = -3 + l. Are m and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-55.7.\nAnswer: 167.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766305 is divided by 594.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 6. Let c(r) = 13*r**2. Give c(u(b)).\nAnswer: 52*b**4 + 312*b**2 + 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5833026 + -4.03965.\nAnswer: -5833030.03965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, s: 1, g: 1, z: 2, j: 1, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.1. Let m = d + -0.3. Sort -0.5, m, 3.\nAnswer: -0.5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1928398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 14448?\nAnswer: -11\/3612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (0 + 1 + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1980460 by 5.\nAnswer: -396092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 6*q**2 - 8*q + 2. Let h be t(-7). Suppose h*n - 10*n = -2. What is the third derivative of -26*w**n - 9*w**6 - 8*w**6 + 7*w**6 wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 6.52110455446.\nAnswer: 7.52110455446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, 8, 87375, -1, -4, 3\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*207\/92. Let y(c) be the first derivative of 1\/4*c**4 - 1 + 4\/3*c**3 + f*c**2 + 5*c. What is y(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*n - 111132*w + 111136*w + 159, 0 = 5*n + w + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*m - 13552 = 11349 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**6\/120 + u**3\/6 - 7*u**2 - 10. Let r(y) be the second derivative of i(y). Let p(z) = z**3 - 1. Determine -2*p(b) - r(b).\nAnswer: -b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3467676969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90069 and 13524?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 701850022 and 932.33.\nAnswer: 701850954.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 3*t + 124. Let q be 2 + (-1 - -3) - 4. What are the prime factors of x(q)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 = -55*q + 139*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/511008 and 19\/8431632?\nAnswer: 16863264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 464293429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 161, -1\/2, 0.06, -1, 3\/5.\nAnswer: -1, -1\/2, -0.4, 0.06, 3\/5, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**6\/60 - f**5\/60 - f**4\/24 - 5*f**2\/2 - 3. Let s(m) be the second derivative of j(m). What are the prime factors of s(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -71\/4. Which is the third biggest value? (a) d (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let p be 13\/(-104) - 15\/(-72). Let x(s) be the third derivative of 0 + 0*s + 8*s**2 + p*s**4 + 0*s**3. Determine o(x(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/68232 and -83\/48.\nAnswer: 136464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56927634 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3175615.7 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f - 2*f = -20*f - 234. Let w(n) = n**3 + 4*n**2 + 6*n + 17. Calculate w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 29 + (-15 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.371 rounded to one dp?\nAnswer: -113.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = x + 3, -5*l = -4*x - 0*l - 12. Let n = x - -5. Differentiate -a**n + 3 - 6 - 4 wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9530624 centuries to millennia.\nAnswer: 0.09530624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 28 - 49 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28985\/1911 + -1\/1274. Let c = -5450\/9 + 604. Calculate the common denominator of c and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 65*n - 230 = 36*n. Calculate the lowest common multiple of 690 and n.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 41 = 2*r, -6*r + 11*r = o - 56. Let w(g) = -g**2 - 104*g - 1817. Let y be w(-30). Calculate the highest common factor of o and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2588 - -2587. Let r(w) = w**2 + w. Let y(t) = -23*t**3 + 46*t**2 + 46*t. Give n*y(u) + 46*r(u).\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*p + 13*p + 5*p**3 + (p + 0*p + p)*(2*p**2 - 6*p**2 + 2*p**2).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*p + 297 + 135, -5*p + 86 = c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 + g**3 + 0*g**3 - 27*g**4 - 61*g**2 + 205 - g + 29*g**4 to the form z*g**3 + x*g + a*g**4 + c + b*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7044050 divided by -50\nAnswer: -140881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (6*(sqrt(243) + 1) - sqrt(243))**2.\nAnswer: 540*sqrt(3) + 6101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1884873 (base 9) to base 13.\nAnswer: 2b15b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6 and -23\/555.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = -5*v, c = -4*v + 1 + 9. Let g be ((-33)\/(-99))\/(c\/(-6)). Is g less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935777203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/110*-10)\/(3\/9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-56)*6\/39.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:49 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -497\/552, 23, -2?\nAnswer: -497\/552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63120 and 44400?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/3 (b) 52 (c) 145 (d) -18\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-26 - -16) - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37013 + 121*a + 37013)*(-1 - 1 + 3).\nAnswer: 121*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -739449 times -0.1\nAnswer: 73944.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 17348739.5 to the nearest 10000.\nAnswer: 17350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 take away 43749?\nAnswer: -43663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113 in -35, 0.2, -0.4, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209.99999851 + 210. Round x to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118.99998403 + 119. What is p rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 262\/3, 11\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 81*k**2 + 4*k + 353. What is the ten thousands digit of x(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5243 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 116, 4 in descending order.\nAnswer: 116, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/5 - 32*j**2\/5 = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-36)\/3)*3\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j + 7. Let z(q) = -21*q + 34. Let a(v) = -11*x(v) + 2*z(v). Let h be a(18). Solve h = -4*k + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -895367679 by -3.\nAnswer: 298455893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 + -82. Solve -p*c - 5*d = -c, 0 = 2*c - 2*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1808 + 1244. Is n\/21*-17 + (-9)\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -1 (b) -3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -28. Do z and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 + 15*o**2 + 21*o + 11. Let i(j) = 3*j**3 + 10*j**2 + 14*j + 7. Let m(k) = -5*a(k) + 8*i(k). What is the units digit of m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(1 + 27\/(-30)). Let j = -25 - n. Calculate the remainder when (1 + (-7)\/j)*1950\/60 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209 + 214. Let l = -0.09 + -3.31. Let z = l + 0.4. Which is the third biggest value? (a) -0.4 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 - 8*o**2 - 18*o. Let p(s) = -4*s**3 + 11*s**2 + 16*s. What is 2*p(z) + 3*r(z)?\nAnswer: 4*z**3 - 2*z**2 - 22*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -13*s - 1. Let y(n) = -63*n - 6. Let r(p) = -24*q(p) + 5*y(p). Let f(g) = -g - 3. Suppose -w - 4 = 3. Calculate w*f(c) + 3*r(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/288*(-50)\/15.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 16 + 9)*(-35 - 26 - 40)*(13*r - 7*r - 8*r).\nAnswer: 1010*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*t + 2. Suppose t*k + 4*z - 40 = 0, 4*k - k = -3*z + 51. Calculate the highest common factor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 558.973 and -0.76.\nAnswer: -424.81948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4368131 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*i*s + 74*g*i - 773476*g*s - 3785*g + i*s - i - 46 wrt s?\nAnswer: g*i - 773476*g + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1173, 1161, 1147, 1131, 1113, 1093, 1071?\n\"Answer: -r**2 - 9*r + 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9\/30) - 2925615\/(-292040)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 591. Suppose -252 = -4*d - 4*s, -2*d + 5*s = d - o. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p - h = 38, 4*p = -2*h - 34. Let b be 158\/168 + (-2)\/p. Let d = b - 13\/12. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 2, t: 1, d: 1, p: 2, s: 1}. What is prob of sequence es?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.6, -1\/123?\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1366*l + 1363*l = -18. Solve 3 = -3*w + 5*v - 24, 0 = 2*v - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:11 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31\/135966650 + -709749857533\/17300804445950. Let m = -10\/703 + s. Let j = m - -2433\/1448. What is the common denominator of j and -29\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-48 + 33 - -3) + 20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/2681924 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - (3 - 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + sqrt(768) + 4)*1)**2.\nAnswer: -3885 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, 2, 7, 33.\nAnswer: -30, -2, 2, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + a + 4*g + 4, 0 = -4*a - g + 50. Let q be (5 - (-20)\/4) + 2. Let c = q - a. Sort -3, c, 1.\nAnswer: -3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(6*(sqrt(4) + sqrt(16)\/sqrt(4) - sqrt(4))))\/(sqrt(1584) - (-1*4*sqrt(1584) - sqrt(1584))).\nAnswer: sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*7*(2 + (-7 - -3)). Solve -11 = -s*l + 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 < 652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5056?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1974 + 2870. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 1278192876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 240 - 249. Let x be 18*((-14)\/(-4) + -3). Let s = x + l. Solve -5*b = 2*u - 5*u - 2, 3*u - 3 = s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/32495 and 53\/5044.\nAnswer: 1689740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324937 by -1.\nAnswer: -324937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x**3 - 2*x**2 - x + 2. Give d(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -462843 minus 12.2465?\nAnswer: -462855.2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -1\/12*s**4 - 28*s + 0 - 2*s**2 + 5\/6*s**3. What is l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 9:21 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56017*i**2 + 17*i**3 + 56782*i**2 - 4*i**4 + i**4 + 37*i**3 + 2100*i.\nAnswer: -3*i*(i - 28)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Suppose -2*l + 406 = 4*o, -5*o + 3*l + 277 + 236 = 0. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 96*z + 1499. Calculate i(-5).\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-84) + (-6)\/21)*-3. Let q(o) be the second derivative of -o**3\/6 + o**2 + 76*o. What is q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15178 divided by 2\nAnswer: 7589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -3, -1, 4 in increasing order.\nAnswer: -3, -1, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 34116, -4 in increasing order.\nAnswer: -4, 1, 34116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d**2 + 5*d**5 + (3 + 3*d - 3)*(24*d + 34*d - 40*d)*(-3 - 2 + 3)*(14*d**3 + 117 - 117).\nAnswer: -1507*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465*j**2 + 1818*j**2 - 3364*j**2.\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10245 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*r - 6 - 21, 0 = 3*r + 3. Suppose -2*g = 5*b - 10, -3*g + 2*b - 4*b + l = 0. Solve -3 + 1 = w - g*q, 2*w - 5*q + 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15120 and 440?\nAnswer: 166320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 7. Let i(g) = -2*g. Let y be i(-6). Let l = m + y. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 118 = 72 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172279494721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:58 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*d - 26. Let v(y) = y**2 - y - 47. What is the least common multiple of v(d) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:23 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6467, 3, 36815 in decreasing order.\nAnswer: 36815, 3, -6467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4886 (c) -382 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259283*h**2 + 259270*h**2 - 518579*h**2.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -871 less than -872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1151 + 72*v - 1151)*(-v + 2*v + 0*v) + 2*v + v**2 - 2*v.\nAnswer: 73*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1048 - 5?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 78010*t**2.\nAnswer: -5*t**2*(t + 15602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.4 - -1.6. Let u = k - 20. Is u greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 54. Let a be (m - -2)*(4\/(-6))\/(-1). Let o be ((-3)\/a)\/((-3242)\/3240 - -1). What is o rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.7. Let l be 2 - (142\/78 - (-23)\/69). Which is the smallest value? (a) 0 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 7*m**2 + 10*m + 8. Is s(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(28\/5)\/(((l**19*l)\/l)\/l))\/(l\/(l\/l**(-2\/31))*l**(-24)) assuming l is positive.\nAnswer: l**(1808\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6254*j**6 - 6*j**2 + 1648*j wrt j?\nAnswer: -750480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 4, p: 2, o: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/30 + 11*g**4\/24 - 5*g**3\/6 + 19*g**2. Let a(b) = 2*b**2 + 12*b - 6. Let z(f) = -5*a(f) + 6*y(f). Factor z(m).\nAnswer: 2*m*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9169 - -30322076399\nAnswer: 30322076396.0831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 14 - 39. Suppose -12 = f*i - 28*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 66. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) -0.5 (c) 163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 7*i + 15. Let n be (-6)\/(-9) + (-4)\/i. Suppose n*w + 60 = 6*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.651 + -20.251. What is the nearest to 0.2 in -4, l, 1, 4\/85?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + m - m + 3. Let r(k) = -200*k + 45. Let h be r(-3). Suppose -653 = -4*x - h. Give q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*h - 10*h**3 + 3*h**3 + 11 - 123*h + 4 to z*h + l*h**2 + x*h**3 + u and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6929723, 6929719, 6929713, 6929705, 6929695, 6929683, 6929669?\n\"Answer: -y**2 - y + 6929725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 7:06 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*z = 14, -2*i + 12 = 3*z - 5*z. Suppose -9*x - i*x = -15*x. Solve x = 4*d - b + 4 - 5, -4*b - 4 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 + 12)*(3*x**2 - x + x)*(5 + 4*x - 5).\nAnswer: 252*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - 3*l - 1. Let i be x(4). Suppose 0 = -2*o, 2*j = o + i*o + 11510. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -55. Let b = -218 - -217.97. Sort s, b, 0, 2\/17 in decreasing order.\nAnswer: s, 2\/17, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 286 + -282. Solve 3*q - 2*v = -3, q + y*v - 1 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20ac15 - -6?\nAnswer: -20ac0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*n = y + 15, -2*y = -3*n + 16. Sort y, 4, 1 in increasing order.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from brtaakatvrrtkkv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + (sqrt(125)*2 + sqrt(125))**2 + -3 + 3)*-3.\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-3\/10)*n**(-16)*n**(-1\/36)\/(n*n\/(n*n\/n**4)*n) assuming n is positive.\nAnswer: n**(-3659\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -107.8512.\nAnswer: 431.4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103.8 - 593.8. Let a = d - -489.313. What is a rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:33 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -18, -15, 0, 33?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**3 - 2*c**2 + c. Suppose 4 + 1 = y. Suppose y*k - 64 = k. What is the lowest common multiple of b(1) and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2044 = 30348. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 3*y**5\/100 + y**4\/20 - y + 4. What is x in b(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4608\/11 - 98\/11*p**2 - 1344\/11*p.\nAnswer: -2*(7*p + 48)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*j + 784, 11*g - 799 = 5*j + 8*g. What is the common denominator of 169\/30 and j\/(-20) - 65\/(-65)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 28 - 14*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-7)\/4 + 39*(-12)\/1296. Put -1\/4, 2, -5, y, -3\/4 in descending order.\nAnswer: 2, y, -1\/4, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31543952273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 67*k**2 + 69*k**2 + 39*k - k**3 to d + p*k**3 + g*k**2 + i*k and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 75.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15*b**3 + 16*b + 14. Let q(t) = 16*t**3 - 21*t - 18. Let o(m) = -9*a(m) - 7*q(m). Let s(w) = 22*w**3 + 2*w. Calculate -2*o(x) + 3*s(x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 16*f. Suppose f = 4*i - 2*i - 126. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -151 + 171. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10724 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i - 63. Let z = -60 + i. Suppose 0 = z*q + 13 - 313. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 121.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222403340 (base 5) to base 8.\nAnswer: -3575330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1911168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-4)\/(-5))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -201, -199, -197, -195, -193, -191?\n\"Answer: 2*m - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*13\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*8\/20*(-12)\/20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(42\/(-8))\/7*8. Let h(q) = 3*q**2 + 10*q + 3. What is the remainder when h(m) is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1405 * 2.\nAnswer: -2810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/1517?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*c**2 + 42 - 101 - 160 + 0*c**2)*(-2*c**2 + 2*c**2 + 2*c**2) to the form x*c + g*c**2 + v*c**3 + u + b*c**4 and give b.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12438 + -12354. Solve 19*n + g = 40*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - c + 847*c**2 - 427*c**2 - 423*c**2 + (1 - c - 1)*(3*c + 4*c - 5*c).\nAnswer: -5*c**2 - c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 12*c**2 - c + 8. Let r be o(8). What are the prime factors of (-132)\/(-16)*r\/12?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -2*h**5\/15 + 4*h**2. Let r(w) = 289*w**2 - 536*w**2 + 246*w**2. What is b(r(y))?\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/27)\/u)*u)\/u)\/((u\/u**13)\/u) assuming u is positive.\nAnswer: u**(407\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 + -20 - 126 - -28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 8*a**2 - 4*a. Suppose -47*k - 28 = -51*k. Let q be s(k). Calculate the greatest common factor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1, -402, -2\/7, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000579391 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Factor -3*y**2 + 2*y**2 + j*y - 2 + y.\nAnswer: -(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008957 to 6 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -5\/2, 3\/7, -3\/7, 2\/3, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1040, -2207, -3372, -4535, -5696?\nAnswer: -6855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -91926 divided by -5107\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h*h*h*h*h*h**5*h*h)\/h)*h*h**3*h**3\/((h\/(h*h\/h**(-2)))\/h)*h**(3\/5)*h**(-1)*h**5\/(h\/(h*h\/h**(-2\/15))) assuming h is positive.\nAnswer: h**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - 3*v + (0*v - 2*v + v)*(-4 + 4 - 3) - 2*v + 7*v - 4*v)*(-3 + 3 + 1) + (-4 - 3 + 5)*(v + 0 + 0).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88375 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 10*v**2 + 9*v + 9. Let s be t(9). Suppose 0 = -3*u - 0 + s. Solve -9 = u*g - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/3*(-220)\/(-154)*660\/(-88).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76493258 to the power of 1\/2, to the nearest integer?\nAnswer: 8746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142.9 * -2.\nAnswer: -285.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 2*f**2 + 4*f + 3. Suppose -104 = 7*n + 19*n. Calculate k(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -3)*(-1 - 0). Let m(x) = -2*x**3 + 2*x**2 + 2*x - 2. Give m(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3483227105 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -382, -1000, -2622, -5746, -10870, -18492?\n\"Answer: -83*i**3 - 4*i**2 - 25*i - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:38 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1038948 - 251788 = 0. Let a be (-6)\/(-15)*s\/(-32). Let i = a + -2469. What is the common denominator of i and 49\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 96. Let r = 38.99888 - d. Round r to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 1\/6, -1\/11, 1\/7, -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 + 3. Let w be (-3 + 6)*(-2 + 3). Let g be w\/(-9) - 1*-1. What is the closest to 1 in 2, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + s - 6*s + 3 + s - 3 + (1 - 1 - 2*s)*(2 - 1 + 0) - 54*s - 5 - 56*s + 112*s.\nAnswer: -s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 1134.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/13, -0.6, 2\/11 in descending order.\nAnswer: 2\/11, 0.1, -2\/13, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)*q)**25 assuming q is positive.\nAnswer: q**(225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-110)\/(-7) + (36\/(-14))\/(-9). Solve 5*m + j = -4*u, -u - 3*m - 16 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 10. Let p be d(4). Let j(x) = 1 + 3 - 5*x - p + 6*x**2. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 27 + -2 + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*n**2 - 4*n - 9.\nAnswer: (n - 18)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z**2)*(2*z**2 - z**2 + 4*z**2) - 469*z**4 + 12*z - 11*z + 467*z**4 + 3*z**3 - 7.\nAnswer: 8*z**4 + 3*z**3 + z - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8479 - 8283. What is the remainder when 725 is divided by x?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 0.1?\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/7)*p)\/p**(4\/5) assuming p is positive.\nAnswer: p**(-43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 0.02, 1, -1\/4, 11, -17?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.19 (c) -0.4 (d) -1 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431.1 - 431. Let g = 3\/22 + -113\/506. Let i be 22\/10 - 1 - 1. Which is the biggest value? (a) i (b) f (c) g (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 751956 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2 - 2 + (-1 - 2*w + 1)*(0 + 2 - 3) + 0*w + 2*w - 3*w - 3*w + 5*w + 0*w + 2*w - 1 + 1)*(3 - 1 + 2) + 3*w + 10*w + 8*w + (w + 2*w - 4*w)*(-3 + 3 - 2).\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 16, u: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/81, -4\/299 in decreasing order.\nAnswer: -4\/299, -5\/81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2852805.\nAnswer: 3, 5, 23, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 792, 797, 802, 807, 812, 817?\n\"Answer: 5*q + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(220)\/sqrt(4) - ((-1*sqrt(220))\/sqrt(4) + sqrt(55)))\/((sqrt(5) - 1*(sqrt(5) - sqrt(20)))*-3).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l - 2. Let d be x(5). Let y(f) = -4*f**2 - 5*f + 7. Let g(k) = 2*k**2 + 2*k - 3. Give d*y(q) - 5*g(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:19 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/9)\/(g*g**(-26)*g))\/(g**(1\/26)*g**30*g) assuming g is positive.\nAnswer: g**(-1439\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -43*s - 586. Let q be m(-14). Is q bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 6)*(9*v**4 - 26*v**4 - 16*v**4).\nAnswer: -99*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 272*p + 79002. What is k(-176)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 30228, 3, 51 in descending order.\nAnswer: 30228, 51, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -220?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 5*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04046646 and -340.\nAnswer: -339.95953354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/n**(1\/3)))**(-4)*(n**(-1\/2))**(-1\/2))\/((n**(1\/3))**(-11\/4))**(7\/5) assuming n is positive.\nAnswer: n**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - (-5 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(2057) - (sqrt(2057)*-2 + sqrt(2057) - sqrt(2057))) + sqrt(2057) + sqrt(2057) + 3 + -4)*-2)**2.\nAnswer: 616*sqrt(17) + 403176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-2) - -2)\/(-1). Let t(q) be the first derivative of -w*q**4 + 0*q**2 + 0*q - 3 - 2\/3*q**3. Factor t(i).\nAnswer: -2*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(3\/(-18)). Suppose -2*m + 3*y + 14 = y, -4*m + 10 = 2*y. Suppose 3 = -3*q, -1 + m = -d + q. Put i, 4, d in decreasing order.\nAnswer: 4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 1. Let j be i(-6). Solve -4*r = h - j, h + 2 = -1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-25))\/(4\/20). Suppose l = 3*p - 10, -2*p - 3*l + 5 = -w*l. Solve -2 = 5*s - a, -p*s + 4 = -3*a + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/13? (a) -3 (b) -0.8 (c) 35\/2816\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1702 is divided by 846.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1056, 1057, 1058, 1059, 1060?\n\"Answer: v + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100 + 1000101100?\nAnswer: 101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270220*a**5*s**2 + 2*a**2*s**2 - 6*a*s**2 + a*s + 4*s**2 + 2548 wrt a.\nAnswer: 5404400*a**3*s**2 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - 23432?\nAnswer: -23365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-5)*5)\/(-2). Suppose 2*v = -4*m - 18, 5*v + 24 = 4*v - i*m. Put v, 6, -2 in increasing order.\nAnswer: -2, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70357\/11 - 6419. Is -23 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 69205500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6756*p**2 + 7*p + 37. Let t be h(-4). Let w = t + -12972497\/120. Calculate the common denominator of w and -89\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*v - 48, -v = -4*k - 4*v + 111. Suppose -2*f = -k - 10. Calculate the lowest common multiple of f and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 13*x + 19. Let u be y(9). Let l(p) = -p**3 - 16*p**2 + 15*p - 15. Is l(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64627*o + 1 + 2 - 3 - 64631*o + 129263*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17774466 - 1?\nAnswer: 17774465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 - (3 - (9 + -6)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b + b + 4*b + 3*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 6*v**2 + 8*v + 7. Suppose -2*k - 2 = 5*z, -14 = -4*k + z - 2*z. What is the remainder when d(k) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -y + 29, -l - 5*y + 3 = -12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 + 2.32. Let l = u - -0.4. Let j = 4.6 + -0.6. Sort j, l, 2 in decreasing order.\nAnswer: j, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*n - 25916 = -207*n + 260*n for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 9. Let u(y) = 1. Let s = -484 - -486. Determine s*x(a) - 14*u(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36597115 and 20?\nAnswer: 146388460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/393175 and 161\/30.\nAnswer: 2359050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 28*n = -54. Solve 6 = n*t - 5*u, 0*t - 12 = 2*t + 4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1607397015 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 + -15.3521.\nAnswer: -79.3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37578 > 37569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -53*f + 10. Let r(h) = 714*h - 136. Let n(k) = -68*j(k) - 5*r(k). Let z(w) = 4*w**2. Calculate n(z(y)).\nAnswer: 136*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1703.878 rounded to the nearest ten?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/663 and 1\/7?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 2*p - 18, -5*p - 4*f = 12. Let b = -1115 - -1125. Sort b, 2, p.\nAnswer: p, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -35. Let p = -12 - j. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00189455621 rounded to 6 dps?\nAnswer: -0.001895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - n - 2*n)*(-2 + 1 + 2) + (-61 + 70 - 80)*(3 - n - 3) - n - 3*n + 3*n in the form y + v*n and give v.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24819, -50019, -75217, -100413, -125607?\n\"Answer: u**2 - 25203*u + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 23. Calculate the lowest common multiple of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -4*x - 308. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 776215.3 weeks?\nAnswer: 130404170.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 + 16 - 17*x**2 + 77*x - 5*x**2 - 77*x.\nAnswer: -12*x**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 46 = -21*g - 11*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 538, 829, 1134, 1453, 1786?\nAnswer: 2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, f: 5, t: 1}. Give prob of sequence thhh.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + t - 1479 = 0, -5*s - 2*t + 732 = -4*s. Which is smaller: 743 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. Let h = m - -6. Let t = -1 + h. Solve 5*i + t + 13 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (18 - (11 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 4, y: 2, b: 1}. What is prob of sequence ypd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(128\/(-30))*(-9)\/((-54)\/(-16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m + n, 5*m - 4 = -2*n - 1. Suppose v + 20 = -4*v + 2*s, 4*v + 3*s = -16. Suppose -1 = -0*l + l. Put v, l, m in decreasing order.\nAnswer: m, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 q when three letters picked without replacement from {m: 7, q: 3, f: 2, c: 5}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/5))**(-7\/6)\/((f*f**(-3\/4))\/f*f*f*f**(-4\/11)*f) assuming f is positive.\nAnswer: f**(-629\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 141.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 21*s - 347. Calculate v(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-32)\/6))\/(16\/(-64)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a - 1725?\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13313 (base 5) in base 8?\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 - (-1)\/(-36). Let r = -37 + 33. What is the closest to -0.1 in r, u, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1728) + sqrt(1728) + ((sqrt(726) + sqrt(726)*1 - sqrt(726))\/sqrt(2))**2.\nAnswer: 48*sqrt(3) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1. Let c = -109 - -105. Let h(g) = g - 5. Give c*x(u) - h(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-18)*q*q)*((q**10*q)\/q)\/q)\/(q\/(q*q*q*q**(3\/2))*q*q\/(q**21\/q)*q*q) assuming q is positive.\nAnswer: q**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvll when four letters picked without replacement from {l: 3, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2556\/99 - 8\/(-44). Calculate the greatest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77 in 3\/5, 0.8, -2\/7, -4, -74?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 - -422. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilogram in grams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 98 = -4*u, -3*u = 2*b - 0*b - 77. Suppose 5*i = -q + u, 4*i = -q - 0*q + 19. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 2. Let n = 3 - 1. Suppose 0 = -s - n*s + 12. Suppose 0 = 5*c + 2*a + 23, -5*a + s = -5*c + 9. Give f(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4885246.543 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 2 - 186*f**3 + 98*f**3 - 199*f**3 - 4*f - f in the form w + h*f**2 + l*f**3 + j*f and give l.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6567 and 139227.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 21530 + -10630. What is o rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 57\/2. Let i = -91928 - -1610459\/18. Let g = i - -2459. What is the common denominator of k and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9 (b) 0 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1144247632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 44\/819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-220)\/(-14) + -15)*3)\/(2 + 82\/(-42))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913721 times 102?\nAnswer: 297199542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-80)\/(-56) + 29 - -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 28. Calculate d(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 + 86*i**2 - 8155*i wrt i?\nAnswer: 18*i + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -66\/5525 and 99\/1853306.\nAnswer: 46332650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937290 rounded to the nearest 10000?\nAnswer: -1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/19)\/o*o)\/o)**47 assuming o is positive.\nAnswer: o**(-1034\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 43*d**4\/24 + 110*d**3\/3 + 171*d**2. What is the thousands digit of w(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m + 4 - 15 - 2. List the prime factors of h(8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.616043cm to millimeters.\nAnswer: 96.16043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 56\/731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - (-85)\/(-3). Let a = -18 - y. Suppose -7 + a = -3*u. Is u less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 5*c + 8 + 31 = -6*c + 18*c - 3*o, 0 = 59*c - 3*o + 209 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30371005 is divided by 313103.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxrrx. Give prob of sequence rr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 - 4*p - 3. Let a be n(-2). Let o = a - -8. Solve 3*t + o = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71*(-27)\/3)\/(14\/((-2100)\/675))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 7*c**2 + 43*c - 25. Determine i(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let c(u) be the second derivative of -59*u**4\/12 + u**3\/3 - 1553*u. Give c(l(s)).\nAnswer: -59*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3011200 to the nearest ten thousand.\nAnswer: -3010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 456, 454, 458, 474, 508, 566, 654?\n\"Answer: y**3 - 3*y**2 + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*t - 4 + 5, -4*d + 11 = -5*t. What is the tens digit of t*95\/((-4)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/((-9)\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2205 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 36332564?\nAnswer: 36332562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27*589\nAnswer: 15903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d**2 - 2*d - 1. Suppose k + 1 = -0. Let i be x(k). Let j = -1 - i. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -285*j - 25. Let z be r(-1). Let h = z + -266. Let y(a) = a**3 + 6*a**2 - 2*a - 9. Determine y(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11093, -22182, -33271?\nAnswer: -44360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30484, -30663, -30968, -31405, -31980, -32699?\n\"Answer: -a**3 - 57*a**2 - a - 30425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -22*k - 7. What is the units digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/25))**(-27)\/(k**13\/k)**(-22) assuming k is positive.\nAnswer: k**(6546\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 1. Let m(y) = -3*y**2 + 7*y - 5. Let f(a) = 4*d(a) - m(a). Determine f(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*l**2 + 42583*l + 2021826.\nAnswer: -16*l + 42583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.221626*-0.5.\nAnswer: -0.610813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*j - 44 = -464*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99638957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -357922 + 59*o**2 + 357922 + 2*o as v + l*o + j*o**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 372 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 27. Suppose f*r = 4*u - 194, 153 = 3*u - 4*r + r. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 * -4.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 129763 divided by 129763?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28094*m**3*y**2 - m**3 - 15*m**2*y - m**2 + 32*m*y wrt y?\nAnswer: 56188*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 3 + 4*p - 3.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 138878*j**2\/3 - 1607443395*j - 12856584600.\nAnswer: -(j + 8)*(j + 69435)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/120 + 9*j**3\/20 + 13*j**2\/10 + 315*j. Solve q(t) = 0 for t.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*s**3 - 30*s - 2?\nAnswer: 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/56 + (-2)\/(-36)*9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1914721 and 773?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9769909 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186322399 is divided by 17190.\nAnswer: 17179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2. Let u be (-56)\/(-42)*3\/2. Let n(b) = -23155 + 23155 + 6*b**u. Determine c(n(w)).\nAnswer: 252*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 46*z**2 - 42*z + 30. Give p(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -19*t**2 + 1. Let i be k(-1). Suppose 4*o + 35 = -73. What are the prime factors of (-87)\/o + 4\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 2:06 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15228*o + 60920*o - 15231*o - 15238*o - 15221*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -42823\/5, -0.4, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 761389254 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72.7 + 73. Let r = k + -0.3. Which is smaller: r or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 16.7. What is the fourth smallest value in 1, 1\/4, -2\/13, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35005*-166.68.\nAnswer: -5834633.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-4\/5)*w))\/w**20 assuming w is positive.\nAnswer: w**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6962.794s?\nAnswer: 6962794000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 10000102?\nAnswer: 10000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/2)\/k)**20)**(-12))**(-1\/16) assuming k is positive.\nAnswer: k**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9183, -35427, -78729, -139089?\n\"Answer: -8529*n**2 - 657*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(864)*-4 - sqrt(24))\/(sqrt(72)*-3 + sqrt(72)) + -4).\nAnswer: -24 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*6*sqrt(600)*2)\/(1*(sqrt(768) + sqrt(48))).\nAnswer: -120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11384 + 2265. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 81.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5671.\nAnswer: 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 4922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1251 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 - 10 = 0. Solve -25 = p - y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 21. Let z = s + 50. Which is the smallest value? (a) 3 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55411 (base 6) to base 13.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:24 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18562, 36999, 55330, 73555, 91674, 109687?\nAnswer: 127594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -1\/168*s**7 + 0*s**3 + 0 + 0*s**4 + 0*s**5 + 1\/120*s**6 - 25*s + 0*s**2. Determine i, given that o(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 4:38 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnnn when four letters picked without replacement from rnnrnnnnnnn.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 618.81301978+5\nAnswer: 623.81301978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000568038004 to seven dps.\nAnswer: -0.0000568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 3) + (19 - (47 - -13)) + 2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -33*y - 277, 964*y = 969*y + 5*l + 20 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 + 6\/(-12). Let s(x) = -x**2 - 7*x - 6. Let i be s(-5). Suppose 4*h - 2*q = i - c, h = -4*q + 10. Is 4 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f + 10. Let n be r(-2). Suppose -8*t - 4*p + 1178 = -3*t, t - 4*p - 226 = n. Is t a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/300 - x**5\/150 + x**4\/15 + 4*x**3\/15 + 18*x**2. Factor v(y).\nAnswer: -2*(y - 2)*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -27, -38, -47, -54, -59?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/4)\/((-27)\/30). Let o = 874532\/51 + -17147. Let r = o + -1\/51. What is the third smallest value in w, r, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/7914748 and 53\/11.\nAnswer: 87062228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 764*g - 55261. Determine r(72).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - 1. Let i(j) = 7*j**2 + 1. Suppose 83 = 4*b + 95, -3*q + 2*b + 12 = 0. Give q*i(t) + 5*n(t).\nAnswer: -t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.489, -0.5, -168, 0.2, -4?\nAnswer: -0.489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:03 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 401 - 362. Suppose -3*h + 24 = l. Suppose 3*k = -4*a + 5, 0*k + 4*k + a - 11 = 0. Sort k, 2, h, 5 in ascending order.\nAnswer: h, 2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 63. Let l(a) be the second derivative of a**4\/12 + 229*a + 5. Calculate l(u(c)).\nAnswer: 4*c**4 + 252*c**2 + 3969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36369330.\nAnswer: 2, 3, 5, 73, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((0 - -1) + 1 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.122 - -363.578. Let n = k + -370. What is the nearest to n in 5, 2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1097445410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9141*q + 1334666. Give d(-146).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*(9 + -12). Let i be (-14)\/(-4) + c\/(-4). Let w(a) = 2*a + 0 + 4*a + 2 - 2*a**2 + i*a**2. Give w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(14*h + 4*h + 46*h).\nAnswer: 64*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/35*3193757\/(-5497)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -29 - (2 + 3 + -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = 5*m - 0*m. Let v be 10\/m - (-14)\/260. Let z = 1 + -0.7. What is the biggest value in -1\/3, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(56\/(-420) - 1905\/(-19350)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20790 is divided by 6927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 573\/5 + 12\/30. Let m(q) = -2*q - 4. Let s be m(-3). Suppose -c = -5*i - 5*h, 4*i + 0*h = -s*h + 90. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-49 - -4 - (-2 + -5)) + -11.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -37*l**3 - l**2 + l - 1. Let h be y(1). Suppose 31*i + 741 + 375 = 0. Let f = h - i. Let q(r) = 2*r**3 + 2. What is q(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -548\/5 + 109. Let m be ((-73)\/(-1095))\/((((-4)\/(-9))\/2)\/(-8)). Suppose -2*l - 3*l = 5*b, -2*l + 4*b + 12 = 0. What is the closest to l in w, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -250738, -250727, -250716, -250705?\n\"Answer: 11*n - 250749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus 62420.6917?\nAnswer: -62441.6917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*d - 2544 = -351*d. Solve -8*u = -s - d*u - 5, 5 = -s - u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*m + 7*m + 5*m)*(6 - 1 - 4) + 21 - m - 21)*(48252 + 249*m**2 - 48252) as z*m**3 + c + p*m + h*m**2 and give z.\nAnswer: 1494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 37*l**2 - 108*l - 7. Determine c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 297c - -1?\nAnswer: 297d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.39 + -1.82. Let s = 0.43 + f. What is the third biggest value in -0.3, s, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2704.8012 + 148212\nAnswer: 145507.1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418829 is divided by 177276.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**2\/17 - 870*x\/17 - 436\/17 = 0.\nAnswer: -1\/2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 62 - 13 = 0. Let w = n - -54. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.94 rounded to 0 decimal places?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.284 - 79?\nAnswer: -93.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - -161. Suppose -n*p - 7*p = -392. Calculate the highest common divisor of p and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21044 or 21016?\nAnswer: 21044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 0.0038.\nAnswer: 0.00304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c + 8*c)*(248 - 509 + 253 - 8*c)*(1 + 0 + 1)*(4*c - 5*c + 0*c).\nAnswer: 96*c**3 + 96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from ivtwwwttiwvititwwt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + (-57)\/(-12). Let j = -4\/29 - 17\/87. Let w be (-3)\/(-4)*(-24)\/(-99). What is the closest to -4\/7 in j, w, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1156\/18 + 0 + 10\/(-45). What is the greatest common factor of 96 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137732 is divided by 39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 646 - 0. Suppose 4*q + 1268 = 4*j, 4*j - 5*q - 620 - d = 0. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 1 + -1 + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166020 is divided by 93?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.59799 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 6 + 4 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 24*x - 4 - 7*x.\nAnswer: -21*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11090931 or -42?\nAnswer: 2\/11090931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 88596.25mg?\nAnswer: 88596250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.32 + 1.25. Let c be (-3)\/15 - 72\/15. What is the smallest value in -0.3, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -5 (c) -3129 (d) -11 (e) 4 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 789271340 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (1 - -4))*2*6. What is the common denominator of -7\/2 and ((-33)\/v - 2)\/(6\/(-116))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50596426 from 1.1.\nAnswer: 50596427.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -16)\/((-4)\/358). Let o = 4 - -4. Calculate the common denominator of v\/(-352) + (-6)\/o and -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27155227112 and 1?\nAnswer: 27155227113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 34 - 36)*(0*y - y + 2*y + (5 - 3 - 3)*(3 - 3 + 2*y)).\nAnswer: 66*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.999973 + 6. What is m rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w**2. Let j(i) be the third derivative of 0*i + 0*i**3 + 0*i**4 + 0 - 2*i**2 - 1\/60*i**5. Give t(j(k)).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 383 = 229. Calculate the highest common divisor of 48 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddadqqddcddcdbcdddd. What is prob of picking 2 d and 1 c?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2661 - 85951?\nAnswer: -83290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -1\/30*z**7 + 5\/3*z**3 + 23\/20*z**5 - 19\/120*z**6 + 0 - 53\/24*z**4 + 82*z**2 + 0*z. Solve a(l) = 0.\nAnswer: -5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-765)\/(-663) + (-4)\/26. Which is the nearest to -5.5? (a) 9 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*p + 4279*p - 707*p + 1376*p.\nAnswer: 5322*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.708 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669132 is divided by 95288?\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/3)\/(1\/(-12)). Let z = c + -47. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 737*c**5\/12 + 105*c**3 - 3*c**2 - 7*c + 36. What is the derivative of t(l) wrt l?\nAnswer: 7370*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-30)\/(-16))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26408524\/16181 - 432\/1471. Let z = 1636 + u. What is the common denominator of (-4)\/6*(-294)\/(-16) and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113690299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-34 - -21) - (6 - (1 - 3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 m when four letters picked without replacement from {m: 3, y: 6, w: 2, s: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 - (-33)\/12. Suppose 3*s - 16 = f, 4 = u*s - 2*s. Sort -3, f, -2\/5.\nAnswer: f, -3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -22 (c) 2\/199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 40*r - 118. Calculate j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5170771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:09 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 113 + 167. Let k be 10\/84 - 16\/n. Let h = 407\/144 + -47\/16. What is the nearest to 2\/7 in h, 2\/11, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:27 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -12044244104.\nAnswer: -12044244101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1439392 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 0)*15\/12. Suppose -l*x - 3 = 2. Let u = x + 2. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(-1)\/((-2)\/60). Factor -3*u**4 - 2*u**4 + 12 - 2 - 5*u**2 - o*u + 0*u**3 + 15*u**3.\nAnswer: -5*(u - 2)*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*(1 + 2))\/(6\/16). Let q be (-3 - -1)*l\/36. Is -2\/21 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 13*w - 5. Let u be q(-6). Factor -1\/2*n - 1\/2*n**2 + u.\nAnswer: -(n - 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 2:14 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 340, 481, 598, 691?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 3*d**2 - 3*d - 1. Let a be (6 + -10)\/((-4)\/6). Let f be 5\/(-2)*a\/5. Is 6 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = g - 55. Solve g*v - k = -14, 2 = v + 2*k - k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 22*d)*(11 + 9 - 1 + 7).\nAnswer: -572*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/((1800\/(-16))\/15))\/(4\/30).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20260*s + 20291*s + 186 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 2, g: 2, e: 6}. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.068, -29\/6, 0.0132?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and -8 - 88\/(-8) - -629?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 29*y**2 + 1502*y - 301. Determine l(-52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 2082?\nAnswer: -2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*r**2 - 25*f - 146744*r**2 + 35*r + 186993 wrt r.\nAnswer: 2*f*r - 293488*r + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*156\/(-819)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:51 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 12. Let v(i) = -5*i**2 + 16*i. Let r(q) = -3*q**2 + 10*q. Let x(m) = 8*r(m) - 5*v(m). Determine g(x(p)).\nAnswer: p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/7 - 226*h**2\/7 + 3070*h\/7 + 3298\/7 = 0.\nAnswer: -1, 17, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 3\/4, 5, -2\/19 in descending order.\nAnswer: 8, 5, 4, 3\/4, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311673918 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*b + 145*b - 30264 = 17*b for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/74 and (7 + -15)\/(-2) + (-42)\/(-10).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1341016221?\nAnswer: -1341016225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((11\/(-11))\/(64\/(-8))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -1.4, 69, 68.3, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 55906541.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 70 - 15. Suppose 2*m - 3*m + 70 = -3*t, -3*t - m = 74. Does 26 divide 1 - (-5)\/s - t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33848560 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*q + 830 = -11268 - 2131. Solve w - k = 3, 5*k = q*w - 33*w - 29 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + -1 + (-6)\/(-2). Let s = 17 - m. Let c(u) = 6*u**2 + 4*u. Let k(h) be the second derivative of -h**4\/6 - h**3\/6 + 10*h. Determine s*k(n) + 2*c(n).\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1192 to the nearest ten.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*q = 1554 + 162 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.26 times 505.5\nAnswer: 2153.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -1.33, -1\/3 in decreasing order.\nAnswer: 1, 0.3, -1\/3, -1.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Suppose 0 = 3*n + 5*r + 9, 0 = 5*n - w*r - 2*r + 15. Let g be 15*(-3 + (-11)\/n). Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 + k**2)*(-k**2 - 4*k**2 + 4*k**2) + 0 + 2*k**4 + 0 + (2 - 3 + 3)*(k**4 + 0*k**3 + 0*k**3).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 59. Let g = 10 - h. Let x(d) = d**2 + 7*d + 3. Let k be x(g). Solve -5*y - 30 = -o - 3, -k*o = -6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/48)\/(81\/24*1). Let a = -87.6 - -77.6. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 71.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3006 and 1452483?\nAnswer: 1455489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3270855 divided by 1090285?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 544644*g**4*x - 68*g**4 - 70166800*g*x wrt g?\nAnswer: 6535728*g**2*x - 816*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/437 not equal to 0.063554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmmxozmmzmzmz. Give prob of picking 1 x and 1 m.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - w**2 + 5*w - 4. Let y be m(3). Suppose 5*x = -2*a + y, -4*x - 5*a + 50 = x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u + 6*u + 13*u)*(u + 2 - u + u).\nAnswer: 5*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.84 - -89.86. Let v = 88 - o. Let h = 3.6999979 + v. Round h to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, 2, 4, 2\/9, 3, -49.\nAnswer: -49, 2\/9, 1, 2, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 88492855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 - 172. Suppose -3*t - 4*y = -26, t - 15 = -3*y + d. Solve 0 = -x + 3*s + 1, -t*x - 3*s - 13 = -6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/1139 in -1816, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -3, -5, 19 in decreasing order.\nAnswer: 19, -2\/11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/12 and -25\/154.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*23\/4*-4 - 1. Is 17 a factor of (9 - d\/(-12))*-153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2834579 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 189*n - 72. Let l be h(3). What is the greatest common factor of l and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328 times 7\nAnswer: -2296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0*y**4 + 1 + 5*y**4 + 2*y + (-2*y - 2 + 2)*(-3*y**3 + 0*y**3 + 2*y**3) + 0*y**4 + y**4 + 0*y**4 - 2*y**4 + 0*y**4 + 3*y**4.\nAnswer: 9*y**4 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2941.82314595 and -0.241?\nAnswer: 2941.58214595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -905, -457, -17, 415, 839?\n\"Answer: -4*v**2 + 460*v - 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-1 + -6 + (-65 - -67))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139639567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*5*(-4)\/16*-2. What is the hundreds digit of (-4774)\/(-44) - (p\/2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:19 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.57485 months?\nAnswer: 0.6312375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.8 + -24. Let k = 2.19043 - 0.19043. Which is the second smallest value? (a) f (b) -2 (c) k (d) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2853 = 3*l + 3*v, 3*l + 440 = -4*v + 3294. Is l a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76137*w**5 + 438*w?\nAnswer: 1522740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484 + -255. Let r = o - 219.9. What is r rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1109 or -1102?\nAnswer: -1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w + 14. Let l(d) = d**3 - 4*d**2 + 102*d - 397. Let a be l(4). Let p(y) = -8*y + 7. What is a*p(r) - 6*c(r)?\nAnswer: 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + -3.7. Let g = -12.6 - -14. Let m = g - 1. Sort t, m, 2.\nAnswer: t, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548638 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - v = 116, -471*v - 60 = 2*j - 470*v. Suppose 0 = -3*m - 5 - 19. Let z be m\/j - 414\/(-21). Solve -5*n = -4*i + 35, -5*i - 1 = 2*n - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528551 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -0.6, 101, -2\/21, -0.2 in descending order.\nAnswer: 101, 0, -2\/21, -0.2, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.077 and -188925.\nAnswer: -188924.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o + 3. Let s be p(4). Let j be (6\/(-2))\/(s\/(-10)). What is the highest common factor of 18 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6426, -6425, -6424, -6423?\nAnswer: -6422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/6 - 8*n**3 - 51*n**2\/2 - n - 1. Let h be m(-23). Is h at least as big as -44\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(11\/4)\/i*i)\/(i**38\/i) assuming i is positive.\nAnswer: i**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -7\/6*l**3 + 7\/2*l**2 + 0 - 13*l + 50\/3*l**4. What is the units digit of x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*j**5 - 137*j**2.\nAnswer: -10380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 16*v + 0*v)*(-6*v**3 + 2*v**3 + 2*v**3) + 7*v**4 - 14*v + 14*v + (-v - 2*v**2 + v)*(2*v**2 - v**2 + 0*v**2).\nAnswer: -39*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 1 - 4*v + 4*v - 3*v with respect to v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 + d**3 - 2*d**3 - 3*d**3 in the form k*d + q*d**2 + a*d**3 + g and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 2*o - 70. Solve -5*i + 0 = 4*l + o, -3*i + 4 = l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/1*(-1)\/(-4). Let y = 2628.1 + -2628.51. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, a: 4, p: 7}. Give prob of sequence ahp.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -22*i**2 + 200*i - 17. Calculate c(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2662)*-2 - sqrt(2662))*2)\/(-2*sqrt(12)\/sqrt(6)*-4*-5).\nAnswer: -33*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {e: 5, c: 4, u: 3}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 19*d + 594 = 0. What is the highest common divisor of 54 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 104 - 1\/1. Suppose 2*y = -5*a + 176, 0 = 3*a - 6*y + 4*y - d. What is the remainder when a is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-174)\/16 - -2)*174\/783 and 89\/234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.061668?\nAnswer: -0.0246672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 17.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11688840 and 2055.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 12:57 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(-1)*y)\/y)\/(y**5\/y*y)*(y*y**(-6)\/y)\/(y\/(y*(y**(3\/4)\/y)\/y)) assuming y is positive.\nAnswer: y**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.01 (b) -2 (c) 48190\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.4, 0.5, -9, 0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4065093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) 2 (c) -0.1 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 720 = 70. Let v be 4\/(-78)*-3 - 310\/j. Sort -0.1, -0.5, v, 11 in decreasing order.\nAnswer: 11, -0.1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e01 (base 16) to base 4\nAnswer: 1320001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267026 is divided by 193.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let b(h) = 5*h + 6. Let c(d) = -5*d - 7. Let i = 2 - 8. Let q(o) = i*c(o) - 7*b(o). Calculate j(q(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 0*h + 3*h + 2*h - 2*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21022 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.528 - -10.528. Which is the second biggest value? (a) y (b) 1\/6 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11745, -23482, -35219, -46956, -58693, -70430?\nAnswer: -82167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -433*t - 3252*t**2 - 3253*t**2 - 3254*t**2 + 9754*t**2 as w*t + q + a*t**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 8*v + 2. Let p be r(8). Suppose 33 = q - 4*t, 0 = -5*q + p*t - 3*t + 123. Suppose 226 = 3*o - 2*n - 3*n, 5*n + q = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, x: 4}. What is prob of picking 2 r and 1 x?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -974, -1455, -1936?\nAnswer: -2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + -2 - 2. Suppose 3*z = z + 2. Let a = z - q. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442395 * -4\nAnswer: 1769580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11235045397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7)\/((810\/(-252))\/5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -272199 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*v + 19, 0 = v - 2*k - 763 + 755 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8836005 is divided by 2945236.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2490, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g - g. Let t = -4181\/1516 + 3\/379. What is the common denominator of t and (g - 3)\/((-54)\/(-4))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 124 - 600 = 4*v, -461 = -4*d + v. Suppose x - 23 = -2*x + c, 12 = 3*c. Calculate the remainder when d is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*d + 1574*d**3 + 103*d - 4189*d**3.\nAnswer: -2615*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 353321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1142 - -1554. Solve -r*g + 409*g = 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -41*n - 18*n**2 + 131*n**3 + 6*n + 74 - 16*n**2 - 132*n**3. List the prime factors of b(-33).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 22. Suppose 0 = 3*n - g*n - 12. Let h = 58 + n. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-456 - -438) + 2 + 2 + 23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21\/2 - -11. Let t be 6\/4 - 5580\/112. Let d = 195\/4 + t. Sort -1\/11, j, d.\nAnswer: -1\/11, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21098032951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*d - 15 = 0, 19 = -g + 5*d - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*y**2 - 1 - 20*y**2 + 2 - 19*y**2 + 6*y - 93*y**3 as r*y + b*y**3 + t + u*y**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4783.2 - 4723.2165. Let v = z + -60. What is v rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**14*k)\/(k**(-2\/19)*k))\/(k**5\/(k*(k\/(k\/k**2))\/k*k)))**16 assuming k is positive.\nAnswer: k**(3984\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**3 - 4*d**3 - 7*d - 3*d**3 + 2*d**2 + 8 - 7*d**2. Let z be g(6). What is the units digit of (-4 - 11)*z\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:53 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653 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: What is 260 minutes before 7:28 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24886 + -24884. Solve -2 = 2*l + t*b, 0*b = -l - 2*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, 2, 46 in descending order.\nAnswer: 46, 17, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 31 + -39 + 24 + 1 + -27?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 9) in base 3?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:54 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0.7, 0.31, 36\/25?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.83 - 34.83. Which is the closest to 0? (a) 0.5 (b) r (c) 6\/133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/200*8)\/(3\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*c**3 - 5421 - 2*c**2 + 4*c**2 + 5428 as r*c**2 + o + w*c**3 + x*c and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439267 is divided by 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:47 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(476\/8)\/(-7). Suppose 3*k = 2*b - 59 + y, 0 = b - 4*k - 26. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 23*b - 40. Let z be c(-21). Find the second derivative of -6355*k**3 + 26*k + z - 7*k + k**2 + 6355*k**3 - 8*k**4 wrt k.\nAnswer: -96*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-6)\/(-69) + (-10686)\/(-897))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14726 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/2 - 9*g**4\/2 - 3*g**3\/2 + 21*g**2\/2 - 6 = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 1. Suppose 4*c + 4 - 12 = 0. Let q be c\/6 + (-2)\/(-3). Give m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/192993 + -143458133\/578979. Let h = 248 + i. Let y = 0.07 - -0.03. What is the nearest to 1 in y, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let s(v) = 2*v**2 - 2*v + 1. What is 4*q(b) + s(b)?\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 312, 628, 944, 1260?\n\"Answer: 316*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/8053 or -1?\nAnswer: 5\/8053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from ootonnmosnoooomn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03909 - 4.55791. Let b = l + -0.403. What is the closest to 3 in b, -0.11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*i**2 - 286*i**3 - 750*i**2 - 3*i + 285*i**3 to the form t + d*i**2 + o*i + y*i**3 and give d.\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 423\/(-1974)*(31\/(-12) + 2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -4133733.4.\nAnswer: -37203600.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 67*y + 1145. Give m(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t + 43. Give j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*s = -24, y - 3*y + 3*s + 25 = 0. Suppose 3*j = 3*c + 12, 5*j + y = -3*c + 31. Suppose 11*z - 2*z - 801 = c. List the prime factors of z.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 10*w**2 - 12*w - 16. Let b be l(-11). Sort 2, -0.5, b in increasing order.\nAnswer: b, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*g + 553*g + 191*g + 1017*g.\nAnswer: 2176*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*y**3 + 52*y**3 - 6*y + 2*y**2 + 3*y to j*y**2 + b + a*y**3 + i*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1730 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*p - 14 = 0, -2*j = 3*j + 4*p - 13. Let t be 1 + j + (0 - 3). Solve -y + 2 = -b + 3, -3*y = 3*b + t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 479787\/29 - 16419. Which is greater: 126 or s?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1161.4 + 1161.9. Which is the closest to 3\/32? (a) y (b) 2\/3 (c) -5 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slvvkll. What is prob of sequence kssv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869521677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(30\/7))**(-1\/9)\/(h**30)**(-3\/13) assuming h is positive.\nAnswer: h**(1760\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -157\nAnswer: 3\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/2632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/60 + p**2. Let w(b) = 7*b - 5. Let m(s) = 3*s - 2. Let x(d) = -5*m(d) + 2*w(d). Give f(x(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 684 - 277. What is the greatest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185658)\/(-28710) - (6\/270 - 4\/18)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -1, 2, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1437.254 to the nearest ten.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 527 - 3*k - 915 + 454 + (-1 + 1 + 2)*(-4*k + k + 2*k).\nAnswer: -5*k + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78624 and 98280?\nAnswer: 393120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - q)*(1 - 1 - q) + 16*q**2 + 3*q**2 - 116*q**2)*(-q**2 + 3 - 3) to the form k + h*q**4 + i*q**3 + s*q**2 + d*q and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.55 and 24.8.\nAnswer: 23.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from znzynlly.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -6\/95, -1\/145.\nAnswer: -6\/95, -1\/145, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c = -136*c - 8772 + 1118 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1 + (-6 - -7). Let g(k) = 3*k + k + 4*k - r*k. Let d(l) = 55*l**2 + 45*l. Let u(o) = 5*o**2 + 4*o. Let n(c) = 4*d(c) - 45*u(c). Determine g(n(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214703 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.291 + 2.124. Let a = -0.015 + c. Let n = -5.9 + a. What is n rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -392, -593, -792?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 13)\/(6*3\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -700, -983, -1442, -2065, -2840, -3755, -4798?\n\"Answer: 2*l**3 - 100*l**2 + 3*l - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000769676 rounded to 7 decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26344 - n**2 + 13197 + 13147.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -42. Suppose -15*x + j + 95 = 0. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 23*f**2 + 3*f - 56. Let u be z(23). Solve 0 = 4*d - a - 16, 5*d - a - 34 = -u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -6?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 60?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + 8.19. Let r = h - 39. Let c = r + 29.96. Round c to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1765\/4 - 428. Calculate the common denominator of 11\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10800 and 126?\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1981 - 1982. Let l = 1.1 - 5.1. What is the biggest value in d, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929 = -3*y - 4*o, -2*o - 604 = 2*y + 14. Let g = 312 + y. Sort -5, g, -16\/5, 2\/3 in increasing order.\nAnswer: -5, -16\/5, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 80?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1660022344 by -4.\nAnswer: -415005586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/464047 and -42\/25.\nAnswer: 11601175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6061.385204 to zero dps.\nAnswer: 6061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 4 (c) 343.89 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - 287?\nAnswer: -287.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13\/3, 2979, 502?\nAnswer: 2979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4581, -9241, -13915, -18591, -23257, -27901, -32511?\n\"Answer: 2*f**3 - 19*f**2 - 4617*f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54053 or 54054?\nAnswer: 54054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 27. Suppose -2*p = -6*p - 12, -4*h - 3*p + 55 = 0. Let b be z(h). Let y = 14 + -7. What is the greatest common divisor of y and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**2 + 74*b + 21*b + 15*b**2.\nAnswer: 5*b*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/56*7*(-2)\/(-75)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -21. Suppose -5 - 4 = -3*n, 5*n = -4*x + 7. Calculate the least common multiple of z and (-2)\/(x\/(-1)) - (4 + -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 10d?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26.17*0.3\nAnswer: -7.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = a - 0*b - 10, -a + 16 = 5*b. Let r(m) = 6*m**3 - 12*m**2 + 9*m - 3. Let x be r(a). Suppose -615 - x = -6*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 equal to 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 + 296*(-10)\/(-45). Let i = h - 65. Solve 5*g = 14 + i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 27. Let i = p + -12. What is the remainder when -1 + i + (2 - -1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68)*-1 + sqrt(68))) - sqrt(68)))\/sqrt(4) - (sqrt(2057) - sqrt(2057)*-1)).\nAnswer: -22*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/6 - 127*p**2\/6 + 249*p - 228 = 0?\nAnswer: 1, 12, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f**3 - 6*f**2 - f**2 + 4*f**2 + 5 - 3. Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c. Let u(h) = 2*h**2 - h + 2539724. Determine v(u(f)).\nAnswer: 6*f**2 - 3*f + 7619172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 1. Suppose -j + 6*j - 15 = 0. Suppose j*l - 2*l = -4. What is k(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2076 + 6?\nAnswer: -2070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -280 + 380. Suppose u = -3*f + 50 - 3, -2*u = 3*f - z. Calculate the remainder when 366 is divided by u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 2 + 216\/2. Let g = p - 57. Calculate the highest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -3 in ascending order.\nAnswer: -6, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3276293?\nAnswer: 3276293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 95809880 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 4, -1044, -0.162?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 136, 310, 564, 904, 1336, 1866?\n\"Answer: h**3 + 31*h**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 41*f**2 + 19*f**2 - 54*f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -18. Let b = n - 22. Suppose 1 - b = -3*k. Solve 0 = 5*v + 5*g - 13 - 17, -k = -4*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w + 14. Let p(r) = 2*r + 3. Let z(l) = -3*m(l) + 16*p(l). Let q be z(-6). Let a(s) = s**3 + 7*s**2 - s. List the prime factors of a(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7579, -29849, -66089, -115579, -177599?\nAnswer: -251429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 k, and 1 c when four letters picked without replacement from {k: 6, c: 1, h: 10}?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u. Let q be m(7). Let l(k) = -6*k - 81. Let w be l(13). Let b = w - -180. Calculate the greatest common factor of b and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1215032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429 - -97. Let m = q + 500. Calculate the greatest common divisor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, 3 in decreasing order.\nAnswer: 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 328429, 656873, 985317?\n\"Answer: 328444*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 68397253.18 and 46?\nAnswer: 68397207.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/27 - (-4452)\/1134. What is the closest to -3 in -2\/3, l, 8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + m = 30, -5*m - 385 + 774 = 399 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849 greater than 31\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1492 and 1245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 4) to base 13\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.2 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 0 - 7*c - 7 + 12*c + 5 + 4. Let x(r) = r**2 - 4*r - 1. Let u = -9 + 6. Give u*n(j) - 4*x(j).\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 10. Let f be v(-7). Suppose x = -f*x - 8. Let h be 7\/(-84) + (-4)\/6. Is h bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91599.\nAnswer: 3, 19, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2 + -4) - -4. Let s(w) = -w**2 - 6*w - 1. Let y be s(-3). Let h(n) = -n**2 + 7*n + 11. Let v be h(y). What is the highest common factor of v and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.51 - -3.21. Let x = -0.3 - k. Let j = x + 3.0000025. What is j rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -294, 8 in ascending order.\nAnswer: -294, -2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81478409 - -81478361.000013. Let n = i - -48. What is n rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15008, -14981, -14940, -14879, -14792, -14673, -14516, -14315?\nAnswer: -14064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1919*o = -1932*o + 4056. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 4*d + 2. What is x(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/315)\/((-3)\/(3\/(-2)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7034, 28255, 63616, 113111, 176734?\n\"Answer: -k**3 + 7076*k**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01416622 rounded to four decimal places?\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(684)*1.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5750002*u + 4. Let w be q(-2). What is w rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 58220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 6*n + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5762010 rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 277, 1030, 2561, 5134, 9013, 14462?\n\"Answer: 44*f**3 - 7*f**2 - 48*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1025838, 1025837, 1025836, 1025835, 1025834?\n\"Answer: -c + 1025839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12945 at least as big as -12938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010010 + 101?\nAnswer: -101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -194, -232, -270, -308?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 314*n**3 + 57*n**2 - 82*n - 33. What are the prime factors of m(6)?\nAnswer: 3, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314*-48623.\nAnswer: -15267622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20616 - -22213. List the prime factors of g.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61716*r + 696196 wrt r?\nAnswer: -61716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8643711 and 522.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2128.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2905*x + 2895*x = -70 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5297 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 - 30*h - 107. Let n be b(-9). Let o(p) = p + 0*p + 4*p**2 + 5*p**2. What is the tens digit of o(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39306 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 5*m**2 + 2. Let t be a(-5). Suppose -16*l + 3780 = -t*l. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10925 is divided by 5431?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**2 + p + 2. Let k be v(-2). What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (7 + -1 - (39 - 34)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 3*d - 2. Let k be w(-2). Suppose -j + g = -3, 4*g = j - 0 + 3. Let b be -2 - j*(-4)\/2. Solve k = -4*s - 0*s - b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -25. Let d be (10\/3)\/(10\/n). Let t(o) = 1 + 14*o**2 + o**3 - 2*o - 9*o**2 + 1. Calculate t(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0*f**2 - 414*f**3 + 4*f + 416*f**3 - 8*f**2 - 3*f**2 - 1 + f**2. What is t(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297 + 289. Let j be 12\/14 + (w - 37746\/(-5355)). Are j and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtm when three letters picked without replacement from {m: 2, t: 1, f: 1, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1434 - 230?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93191369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = -1. Let r = 484.4 + -484. What is the nearest to 2\/9 in r, -0.5, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107247638?\nAnswer: 2, 73, 101, 142903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1211*j + 12 = 1217*j. Let l(q) be the second derivative of -29*q - 1\/8*q**j + 0 + 0*q**3 + 1\/48*q**4. Let l(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126281606, 252563212, 378844818, 505126424, 631408030?\n\"Answer: 126281606*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005082 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 31. Let f = 987 + -947. What is the least common multiple of z and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*m**4 - 4*m - m**2 - 34*m**4 + 5*m + 2 to the form p*m**3 + d*m**4 + r + g*m + q*m**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 + 17*j\/6 + 12.\nAnswer: (j + 8)*(j + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 189*n - 369. Calculate the lowest common multiple of c(5) and 360.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 34?\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**22)\/(((u\/u**(1\/6))\/u)\/u*u))\/((u\/(u*u**(4\/3)*u))\/(u**(3\/2)\/u)) assuming u is positive.\nAnswer: u**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q**2 - 6*q - 7. Let f(l) = l**2 + l + 2. What is -d(x) - 3*f(x)?\nAnswer: -13*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 25. Let j be w(28). Suppose 1\/4*x**2 + 0 - 1\/4*x**4 + 1\/2*x - 1\/2*x**j = 0. Calculate x.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 3*j + 2. Let c be k(1). Let z be -27 - (-4 + 4)\/(-2). Let p = z + 30. Solve -l = -p*l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156)*2*1 - sqrt(156)) + -4*sqrt(156)*2)\/((sqrt(12) + (sqrt(12) + sqrt(588) + sqrt(12))*-3 + sqrt(12))*6)*-4.\nAnswer: -4*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 849368836 and 0.1.\nAnswer: 84936883.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47766 = -4*r - 4*t - 9030, -3*r = 2*t - 29052. Is r a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -65, -5, -126.\nAnswer: -126, -65, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*2 - -1 - -1. Let t be q\/4 + 1\/(-2). Suppose 3*r - 2*x = -7*x + 9, 0 = -t*x. Solve -17 = 4*v - 3*i, 0 = 2*v - r*i + 6*i - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -1\/4 (b) -0.3 (c) -1826\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -287*k - 169*k + 356*k + 3 as t*k + d and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 2*i = 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 20, 3, -1 in ascending order.\nAnswer: -1, 3, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(1*(-1)\/2*2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*o - 0*f + 2*f, -33*o - 13*f - 12*f + 249 = -25*f + 5*f for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6292, 8125, 9958?\n\"Answer: 1833*u + 4459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 54*x + 296. Give v(-30).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94965.65 and -0.5?\nAnswer: -47482.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12738 is divided by 177?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42018 or 25\/7?\nAnswer: 42018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -17, -39, -81, -149, -249, -387, -569?\n\"Answer: -d**3 - d**2 + 2*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.082? (a) 5 (b) 0 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93185 or -93205?\nAnswer: -93205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -2, -0.4, 4, -23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391 - -440. Let y be (g\/98)\/((-1)\/(-34)). Solve 3*p + 14 - y = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 9. Calculate the common denominator of -77\/18 and c + 162\/88 - 0.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49047*x**4 - 3400*x**3 + 82571*x**2 - 13*x + 8 wrt x.\nAnswer: -1177128*x - 20400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/12 - ((-80)\/24 + 3). Let x(j) be the second derivative of -2\/45*j**6 + 0*j**4 + 9*j + 0 - 2\/63*j**7 + 0*j**u + 0*j**5 + 0*j**3. Factor x(y).\nAnswer: -4*y**4*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1297601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + -1 - (sqrt(24)*-1)\/sqrt(12).\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (10\/(-5))\/2. Solve r*l = -0*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773.69 less than -0.1?\nAnswer: 1773.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -100. Let x(y) be the third derivative of 1\/3*y**3 - 1\/15*y**a + 1\/120*y**6 + 0*y - 5\/24*y**4 - 4*y**2 + 0. Determine x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 30 = -2*q. Let d = 6 - q. Suppose -5*g + 46 = -44. Calculate the greatest common divisor of g and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 6:25 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 15, -1\/17, 0.0428?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-10))\/(2\/36). Let l = 20 - q. Factor 33*k - l*k**4 - 157*k**4 + 0 - 6 + 219*k**3 + 3 - 129*k**2 + 48*k**5.\nAnswer: 3*(k - 1)**3*(4*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -174 in decreasing order.\nAnswer: -2, -5, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/59, 3\/4, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 38*p**2 - 5*p + 3. Let o be t(3). Let v be (-6)\/27 + o\/27. Solve -v = -2*r + 2*q, -3*q - 12 = -4*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336248179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -55\/3. Which is the third smallest value? (a) r (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 - 431*t - 578*t - 204*t.\nAnswer: -1213*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 14 + 5 + 7)*(-2 + 0 - 1)*(0*a**2 + a**2 + 2*a**2) as r + t*a**2 + k*a and give t.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 1602*l + 876*l + 726*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (8 - (1 - (-16)\/4))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = k - 222, -v = 5*k - 1685 + 491. Calculate the greatest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43202588 and 457028?\nAnswer: 734443996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4850*x + 497*x + 269121 = -138857 + 107621 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + -5 + (11 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgggqgugxguqq. What is prob of picking 1 g and 1 u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433244 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/3)\/p*p))**17\/(p**(2\/7))**(1\/6))\/(p**2*p**(-2\/15))**10 assuming p is positive.\nAnswer: p**(-274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*b + 308, 122 = 3*v + 3*b - 136. What is the greatest common divisor of 410 and v?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccs when three letters picked without replacement from ccccccccccccccs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 82, 3\/5, -25, 0.4, 0 in increasing order.\nAnswer: -25, -0.09, 0, 0.4, 3\/5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22085, -47937, -73789?\n\"Answer: -25852*z + 3767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (6 + -7)*(1 + 0). Let t(i) = 4*i**3 + 4*i**2 - 4*i. Let m(l) = l**2 - l. Calculate q*t(v) - 12*m(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 2 = 4*n - 10*x, 0 = 4*x - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 6 (b) -9 (c) 4 (d) -111.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 7*t + 7*c - 26 = -11*t + 8*c, 2*t - c = -1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.26238 litres to millilitres.\nAnswer: 68262.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from remerrfmeffrffr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1332892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**3 + 149*z**2 - 930*z + 3. Let o(v) = -20*v**3 + 444*v**2 - 2792*v + 8. Let c(u) = -3*o(u) + 8*w(u). Solve c(r) = 0.\nAnswer: 0, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*l + 8*l**2 - 85*l - 11*l**2 + 169*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + 0*v + 3*v**2 + 0*v**3 + 1\/24*v**4. Let b(g) = -2*g**2. Give i(b(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.834 + 2.834. Let r = -31 - -31.4. What is the closest to 4 in -2\/3, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 256 - 385. Let l = -140 - c. Let z(q) = 2*q + 10. Calculate z(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -138, -139, -140?\n\"Answer: -f - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0474 - -4.0474. What is the third smallest value in 0.1, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.93 - 13. Let d = 0.03 - l. Let q = -262\/7 - -779\/21. What is the nearest to q in 4, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 2542320?\nAnswer: 2542320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 11:11 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/48 and 125\/61900356.\nAnswer: 247601424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + -4)**2*3 + sqrt(6)\/(sqrt(3)*-1) + -6*(sqrt(2) + sqrt(10)\/sqrt(5) + sqrt(2)).\nAnswer: -43*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 333*q - 989*q + 328*q + 4*q**2 + 334*q + 61*q**3 in the form h*q**3 + s*q + j + n*q**2 and give h.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**2 - 1. Let n be x(3). Let j(z) = -z**2 + 6*z - 7. Determine j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/105 and -5\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - -2) + 4058 + -4153?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 6536226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 + 5. Suppose 2*x + x = 0. Suppose 5*h - 8 = -3*b, x*b + 2*b - 16 = 2*h. Let w be (-1)\/4 - b\/(-24). What is p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243971 - 3?\nAnswer: -2243974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 6. Let p be u(-11). Suppose 1 = l, -p*a + 2*l - 4*l = -17. Suppose 2*g - 29 = -a*c + 4*g, 0 = 3*c - 4*g - 19. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/85 - ((-4)\/110 + 549\/(-3355))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -194.7 + 195. Suppose -20 = 4*h + 2*f - 6*f, 0 = -5*f + 25. Which is the biggest value? (a) h (b) d (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0444 + -0.3444. Which is the fifth biggest value? (a) r (b) -1\/6 (c) 14\/5 (d) -0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2294 and 736448.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170682.302925 - -171439.302924211. Let h = -757 + t. What is h rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - ((-6)\/(-3) + -2). Let w be (-3)\/2*-2 - n. What are the prime factors of (-1 - 1 - -14)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkpp when four letters picked without replacement from pkpkkkkkkkkkkkkpkk?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7625.6205 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178676885.\nAnswer: 5, 17, 37, 56813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -76351 in descending order.\nAnswer: 4, -1, -76351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(-6*i - 3*i + 2*i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(95) - (sqrt(95) - (sqrt(95)*2*-2 + sqrt(95))))*-1)\/(sqrt(15)\/(sqrt(6)\/sqrt(2)) - 1*sqrt(5)*4))**2*6.\nAnswer: 48*sqrt(19) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, 3, -1\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/5)*g)\/g**(-32) assuming g is positive.\nAnswer: g**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 169\/13 + 1*4. Solve -h*z - 11 = 40 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22020 - -2210142?\nAnswer: 2232212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1497 - -7*(1 + -1 + 1).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239002257 by 223.\nAnswer: 1071759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -162. Let m = t + 47. Is -8\/15 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 100. Solve d = 6*a - a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -12. Let o = -41 - -44. Suppose -o*v + 8 + 82 = b. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**2 - 4*m - 4. Let x be y(-3). Let b = -67 + x. Solve b*j + 4*i = 4, 4*i - 2 = -2*j + 5*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62705*x**6 + 41802*x**2 wrt x.\nAnswer: -7524600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*d + 1869, -6*d - 3*w = -8*d + 921. Suppose -d*o + 471*o = 66. What is the remainder when 119 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428865, -429139, -429413, -429687, -429961, -430235?\nAnswer: -430509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-8)*(-4328)\/(-674086).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 12:55 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400374 and 18.\nAnswer: 400374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**5 - 2*z**5 - 4*z**5)*(4 + 0 - 3)*(-15 + 6 - 25).\nAnswer: 136*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -541240565 and -0.5.\nAnswer: 270620282.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -21962*c - 65649. What is s(-3)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = k + d + 2, 5*k - d = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 444981*y + 444981*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/420304 and 11\/265737204?\nAnswer: 1062948816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17491412*p**4 - 505672*p - 42 wrt p.\nAnswer: 209896944*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t**3 + 8*t - 207. Suppose -172 + 22 = -25*r. Let j(s) = 13*s**3 - 7*s + 207. Let n(m) = r*o(m) + 7*j(m). What is the derivative of n(k) wrt k?\nAnswer: 21*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54795\/36530)\/((-3)\/56)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -5 in descending order.\nAnswer: 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 14320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 22*u - 62*u - 11*u - 27*u.\nAnswer: -117*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261362?\nAnswer: 2, 130681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 15\/7, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*((-6)\/99 + 259\/462).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*j + 230 = -72*j + 177*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -6, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y**2 + 214*y + 39. Let z be d(17). Is 206 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 467*b**3 + 8*b**2 - 91. Is g(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*w + 25, 3*k - 5*w = -1 - 22. What is the smallest common multiple of (8\/2)\/k*-2 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 f when four letters picked without replacement from {f: 2, h: 1, m: 2, w: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + -4 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 <= 272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 3*t + 2. Suppose -4*u = -3*u + 15. Let w be 5*((-36)\/u + -3). List the prime factors of f(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4, -3\/4, -13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 + 103 - 103861*h**2 - 324.\nAnswer: -103861*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35085 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2610361 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + 18 + -25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 1\/3*o**6 + 0*o**3 + 0*o + 0*o**4 + 0*o**5 + 12 + 5*o**2. Find the second derivative of n(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221995.9 years in decades?\nAnswer: 22199.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from cccccgcccycucqc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/70 + 19\/70. Which is the closest to 8? (a) -0.1 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(304))**2 + 2 - (sqrt(304) + sqrt(304)*-2 + -3)) + -5 + ((-1*sqrt(304) - sqrt(304))*6)**2.\nAnswer: 4*sqrt(19) + 44992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601 is divided by ((-2537)\/2408 + 2\/(-28))\/(2\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 732 + -732.2. Let y = 0.1 - -0.1. Which is the closest to -0.1? (a) -5\/2 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from zptpptpttpzptzt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*u**2 + 116*u**2 + 148*u**2 + 247*u**2.\nAnswer: 692*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 14. Let m(r) = 9*r + 22. Let t(d) = 4*a(d) - 3*m(d). Calculate t(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1757)\/196 - -8)\/(4\/((-32)\/(-2))).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 916 - 2339. Let r = -1423.0005388 - t. Round r to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61815.\nAnswer: 3, 5, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6520 (base 10) to base 7\nAnswer: -25003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*j*n**2*o - g*j*n - 1858*g*j*o - 2*g*n**2 + g*n + g*o - 20*g + 32*j + 216*n**2*o + 3*o wrt j.\nAnswer: g*n**2*o - g*n - 1858*g*o + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 plus 0.03335?\nAnswer: 68.03335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5964523 = -26*o - 927257. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 3*v**2 - 2789362*v**4 - 4*v + 2789363*v**4 to the form f*v**3 + i*v + p*v**2 + h*v**4 + o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(847))*5*-5 + (sqrt(28)*-2 - (-4 + sqrt(7) + 3)))**2*-3.\nAnswer: -1675803 - 166320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 575113 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g**2 + 2384*g + 1584.\nAnswer: 4*(g + 198)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (102\/(-3519))\/((-28)\/(-6)). Let l = 93\/161 + x. Determine p, given that 0 + 2\/7*p + 2\/7*p**3 + l*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 453501 and 1817325.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917651971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6)*6)\/((-19)\/(684\/360)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:06 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, a: 1, d: 6, n: 10}. What is prob of sequence npa?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:02 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85798\/39 or -2201?\nAnswer: -2201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = i. Let d(o) = -7*o**3 - 1. What is the units digit of d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -9*t**5\/20 - 14*t**2 + 1. Let l(v) = 47*v - 11. Let s(o) = 13*o - 3. Let x(j) = -6*l(j) + 22*s(j). Determine x(z(a)).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 394349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -72. Let l = -25 - t. Differentiate 0 + 10 + 7*p**l - 1 wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305 (base 6) to base 5\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p\/p**1)*(p*p\/p**(1\/7))\/p*(p*p**(-6))\/p**19 assuming p is positive.\nAnswer: p**(-169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-8))\/((-6)\/(-216)). Suppose 0*u + 9*u = g. What is the common denominator of 46\/9 and (-31)\/u*(-30)\/48?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30514, 116461, 259702, 460237, 718066, 1033189, 1405606?\n\"Answer: 28647*x**2 + 6*x + 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246922268 rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1. Let q(d) = -d - 12. Let n be (28 + -8 - 20) + 2*-1. Determine n*q(p) + 22*s(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/(-187))\/((-6)\/(-33))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tudsvpsdu. What is prob of sequence sp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 12*y**4 + 8*y**3.\nAnswer: 4*y**3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 714\/85*-5*2\/4*-61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Suppose 0 = -g + 5*g - 3*b - 4, -5*b + 5 = j*g. Solve i = 2*k + g, 2*i + 3*i + 4*k = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1254 and 22.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (72\/(-12))\/3 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518597 - 0.646.\nAnswer: -518597.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -99976 and -191.\nAnswer: -100167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 425 by -5.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 9*g - 12. Let f be (2 - g)*(-9)\/18. Let u(d) = d + 101. Is 15 a factor of u(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1083*h - 683. Let b(f) = -1082*f - 651. Let c(k) = 4*b(k) - 3*g(k). Differentiate c(z) with respect to z.\nAnswer: -1079","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 953 = -2267. List the prime factors of k.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k + 339*k - 7420 = 0 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 39?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/12 + y**3 + y**2\/2 - 4*y. What is w(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89981 millilitres in litres?\nAnswer: 0.00089981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1932462.7 to the nearest one thousand.\nAnswer: -1932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 - -0.68. What is the third biggest value in v, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y - 5 + 3 + 1 + 3*y - y**3. Let m be u(-5). What is the greatest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -379, -1251, -2705, -4741?\n\"Answer: -291*i**2 + i - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 - 303?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 8.4. Let s = 1.13663504 - -5.863364. Let o = s - f. Round o to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6588703 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1. Let s(c) = -368 + 186 + 181 + c. Give -4*l(m) + s(m).\nAnswer: m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - -2.94. Which is the third biggest value? (a) 4\/5 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*l - 6 = 0, -7*g + 3*g - 6 = 2*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -374999, -3000118, -10125451, -24001106, -46877191, -81003814, -128631083?\n\"Answer: -375018*r**3 + r**2 + 4*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -i - 3*v, -i - 3*i - v = -135. Suppose 5*y - 2*y + 9 = 0, q - i = y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5, -n + x = 4*x - 48. Let k be (n\/(-33))\/(2\/(-8)). Suppose z + 2 = -z. Put 3, z, k in ascending order.\nAnswer: z, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:44 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + 4*d**5 - d**5 - 5 + 5 - 2*d**5 + (5*d - 2*d - 2*d)*(3*d**4 - 3*d**4 - 2*d**4) + d**2 - d**2 + 3*d**5 + 11*d**5 - 12*d**5 - 7*d**2 - 7*d**2.\nAnswer: -3*d**5 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -43. Let q(l) = l**2 + 13*l - 12. Let r be q(n). What is the first derivative of -3*m**3 + 152*m**2 - 152*m**r - 2 wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201684 and 150996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/18 - -47*3\/(-45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760 by 4.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:28 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o - 3*o)*(744 + 423 + 645).\nAnswer: -12684*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3936 + -3?\nAnswer: -3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 + q**2 + q + 9. Determine d(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489889460.\nAnswer: 2, 5, 29, 47, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*r + 625*r - 302*r - 5*k = 131 - 29, -4*r = 4*k + 120 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -4) - (6 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 27006 = 5*w - 0*o, 2*w - 2*o - 10796 = 0. What is w rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(567))**2.\nAnswer: 81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4895 is divided by 2376?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 4*z + 20 = 0. Suppose -5*k + 16 = -z. Suppose k*s - 100 = -s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-10)\/(-4))\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*o + 35, 5*p = -21 - 4. Suppose -u - 1 = -a, -o*u = 5*a - 3*u - 26. Let s(f) = f - 3. Let c(l) = l - 2. Give a*c(r) - 3*s(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 19 + 5 + -20 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2098927, -4197852, -6296777?\nAnswer: -8395702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 divided by 1.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -47431*q. Let i(b) = 4*b. Give i(w(c)).\nAnswer: -189724*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50499885151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 51 - 15 = 0. Let w(y) be the third derivative of 0*y**z + 0 + 1\/480*y**6 + 0*y**5 + 0*y - y**2 + 0*y**3. Factor w(n).\nAnswer: n**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434791587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*h - 3 + 105*h + 90*h - 325*h.\nAnswer: -13*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 0. Let z(l) = -2*l**2 + 12*l + 12. Let c be z(10). Let h = c + 472\/7. Which is bigger: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -29. Let g be ((-2)\/(-6))\/l - (-164)\/(-12). Let j be g\/22 + 0\/5. Is j bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.1152 - -2?\nAnswer: -195.1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppprgprpppppy. What is prob of picking 1 y, 2 p, and 1 g?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10695975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/(-9))\/((-20)\/(-72)*31\/((-775)\/(-20)))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - l. Let z(n) = -560*n**2 - 18*n. What is -36*k(t) + 2*z(t)?\nAnswer: -1048*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -3*i**2\/2 - 5. Let g(y) = -4*y. Give g(s(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-1 + 2))\/1. Suppose 2*h - 5*h = -p - 2, 3*p + 6 = -3*h. What is the closest to 1\/7 in d, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 4. Let u be 4\/6*54\/(-12). Let v be p(u). Find the second derivative of v*l**4 - 2*l - 5*l**4 + 5*l wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*f - i - 14, -i = 3*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((1 - -1)*-2 - 0). Suppose 0 = -5*c + 2*c. Let u = t + c. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 110\/2475 - (-4282)\/180 and 43\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4376 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 585 and 30.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.109455647 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -1\/24*p**4 + 1 - p - 1\/4*p**2 - 1\/6*p**3. Let c(s) be the first derivative of v(s). Solve c(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31131595043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.663792 kilograms to tonnes.\nAnswer: 0.004663792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*y - 4*y - 44*y - 52*y as m + g*y and give g.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3371141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*w)*(3*w - 2*w + 0*w)*(21 + 76 + 16)*(2*w + 1 - 1).\nAnswer: -452*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426201\/5 + -86021. Let y = g + 772. Calculate the common denominator of y and (6\/(-32))\/(2\/116).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y**2 - 1)*(0*y + 2*y - 3*y)*(48 - 124 - 207)*(-3 + 4 - 3)*(3*y**2 - y**2 + 5*y**2).\nAnswer: -3962*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-7)*z))\/(z\/(z**4\/z*z))*(z**(1\/2))**(1\/19)*((z**(-2\/7))**(-1\/15))**0 assuming z is positive.\nAnswer: z**(381\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - 3*d**2 + 7*d**2)*(3*d - d - 4*d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24695448.\nAnswer: 2, 3, 41, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19. Let k = 89 - 72. Let q = 17.03 - k. What is the second smallest value in q, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 33*m - 11. Let g(v) = -17*v + 6. Calculate 11*g(p) + 6*q(p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:55 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/3 (b) -0.1642 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-16 - -18 - ((0 - -1) + -13)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 722\nAnswer: -3\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370458141 to the nearest integer?\nAnswer: 19247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 - (1 + -2) - -2. Let b(w) = 67*w - 41 - 13 - 27*w + 17*w + 1. Is b(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:12 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652224799.\nAnswer: 19, 97, 227, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/13761 and 63\/1276.\nAnswer: 1596276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 1253.\nAnswer: 13\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 31. Let z = 0 + 0.2. Sort o, -4\/3, z in ascending order.\nAnswer: -4\/3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/21))\/a**(-7)*(a*a*a\/a**(-15)*a*a)**(-3\/4) assuming a is positive.\nAnswer: a**(-149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17933977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -194 and 1.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j - 52 = -38*j. Let u(w) = -3*w**2 - 12*w + 36. Let x be u(j). Let y = x - -499. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13947 - t**2 + 13948 + 2*t**3 + 2*t**4 - t**2 to q*t + v*t**2 + x*t**4 + j + o*t**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i - 8*i + 3447 + 6*i - 7*i - 3447.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u - 10. Let q = 1 + -1.5. What is the closest to 0 in q, u, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -539 + 1616\/3. Which is the second smallest value? (a) -1.2 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/2))**(2\/25)*x**(2\/5)*x**(1\/7))**(-15))**(-1) assuming x is positive.\nAnswer: x**(306\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 - 2*f**2 + 5*f + 2*f - 3*f + 1 + 7*f**3 to d*f + r*f**2 + h + m*f**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 + -1.8. Let x be -3 - (1*-3 + 2). What is the nearest to x in 4, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 divided by 9?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a008 + 3?\nAnswer: -2a005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (12 - 4))\/((-3)\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18692161.\nAnswer: 73, 256057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 divided by 4799.\nAnswer: 101\/4799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79608 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1712646 and 12?\nAnswer: 3425292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/18)*f**(-2) assuming f is positive.\nAnswer: f**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21919965*i**5 + 450*i - 4900.\nAnswer: 438399300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/12 + 5*u**3\/6 + 8*u**2. Let v be g(2). Let x(m) = 7*m - 1. List the prime factors of x(v).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -21. Suppose 3*f = 2*a - 28, -f + 2 = 3*a - v. Let m = -123 - -130. Calculate the smallest common multiple of a and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.96 and -8.\nAnswer: 7.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241 + 0.3271.\nAnswer: 241.3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3278*v**3 + 2*v**2 + 11*v. Let i(w) = 3280*w**3 + 2*w**2 + 12*w - 1. Let x(l) = 3*c(l) - 2*i(l). What is the third derivative of x(k) wrt k?\nAnswer: 19644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 11, 0 in decreasing order.\nAnswer: 11, 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 12. Suppose -5*o - 10 = -35. Let s = u - o. Put -3, s, 3 in ascending order.\nAnswer: -3, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510631 is divided by 8958.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43847496 divided by 8.\nAnswer: -5480937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 138 = i. Let b(c) = i + 9*c + 6*c**2 - 24*c**2 + 11*c**2 + 9*c**2. Let f be b(-4). Calculate the highest common factor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 5862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 3*j)*(1 - 373*j - 1 + 130*j - 805*j).\nAnswer: 1048*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023805989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 5) to base 7\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-6)\/(-14))\/(3\/(-8)))\/((-1901)\/53228). What is the highest common factor of j and 6752?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*k - 18, -7 = -l + 2*k - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 117629.\nAnswer: 7\/117629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -1\/40*j**6 + j**2 + 1\/20*j**5 + 0*j + 0*j**4 + 0*j**3 + 0. Factor z(n).\nAnswer: -3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 16\/3*h**3 + 18*h - 179 - 8*h**2 - 1\/4*h**4. What is t(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(192) - -5*(sqrt(3) - (sqrt(3) + -5 + 5))**2.\nAnswer: -2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(2\/(-14)))\/(-1). Suppose r - 19 = -4*j. Solve -j*x = -7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2\/4 - 81*q - 7239\/4 = 0.\nAnswer: -19, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 38 = 50. Let r be (a\/(-6))\/((-5)\/10) - -3. Solve -r*h - 1 = 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {b: 7, c: 1, g: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 25*h + 9. Let j be o(10). Let w = j + -157. What is the closest to w in -0.2, -0.12, -0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 - 60*f**3 + 192*f**2 - 176*f.\nAnswer: 4*f*(f - 11)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 21*h**2 + 23*h + 29. Suppose 8*z - 1138 = -1314. Determine n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, and 1 u when three letters picked without replacement from ttyu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3150195 or -1\/3?\nAnswer: 3150195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 20*k - 2. What is q(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 44*i - 37 = -5*a, -3*i + 12 = 0. Factor -4\/3*t**3 + 0 + 1\/2*t**4 - 2\/3*t**2 + 3\/2*t**a + 0*t.\nAnswer: t**2*(t - 1)*(3*t + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a day in minutes?\nAnswer: 31320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 13 = 2, -26986 = 2*p + 2*x. Suppose -b - 2*k - 8084 = 0, -2*b - k - 40438 = 3*b. Let a = b - p. Round a to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/9 + 17\/63. Which is the closest to v? (a) -2\/17 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.683 rounded to 1 dp?\nAnswer: -21.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + sqrt(1008)*-2)*2 - sqrt(1008))**2 - (sqrt(1008) - (-2 + sqrt(1008) + 0)**2).\nAnswer: -60*sqrt(7) + 10084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 3*p + 4. Let a(w) = w**3 + 7*w**2 - 5*w + 27. Let r be a(-8). What is b(r)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 663 = -2*l, l + 0*i = -3*i - 344. Let k = -40 - l. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujjj when four letters picked without replacement from {u: 2, j: 10}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41381.67 litres in millilitres?\nAnswer: 41381670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3433932 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 16, -46130 = 3*u + i - 46141 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aikkaayaklhkk. Give prob of sequence ha.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -27*h + 31*h - 654, -173 = -h + 4*t. What is the greatest common divisor of h and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34740?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245348792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**5 + 90*t**4 + 593*t**3 + 234279*t**2 - 26?\nAnswer: -240*t**2 + 2160*t + 3558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 83.79181 centuries?\nAnswer: 8.379181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 86\/(-126) + 2\/3. Let v = -2\/21 + g. Let n = -2.9 + 2.8. Which is the closest to 0? (a) 3 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 1447897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/13 (b) 4\/5 (c) 0.1 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/24 + (90\/360 - (-6)\/(-8)). What is the nearest to 0.1 in l, -0.4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -346*z + 1361. What is k(0)?\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 7 - 4)*-1. Let p(j) = -j**3 - 7*j**2 + 7*j - 1. Give p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -18.7. What is the nearest to 0 in 1\/5, 1.6, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(60)\/sqrt(4))\/sqrt(5).\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 8*v + 2. Let z be i(-8). Suppose 0 = -3*y - 4*x + 98, 3*y = -z*x - 36 + 136. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 67\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 (base 7) in base 3?\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -fd8?\nAnswer: -fdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*8\/6*(-329)\/(-940).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -77, -124, -171, -218?\n\"Answer: -47*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 30 - 8)*(-u + 0*u + 0*u)*(-3 + 2 - 1) + 3*u - 3*u + u.\nAnswer: -153*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3615471*a**3 - 110017*a + 1.\nAnswer: -21692826*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -14640882.\nAnswer: 5856352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(203\/(-56)) - 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p + 2*p - 1)*(-3*p - 18*p - p).\nAnswer: 66*p**2 + 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 63, 81, 99, 117, 135?\n\"Answer: 18*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 - 223. Which is the nearest to 1? (a) 0.5 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + 0.3. Let o = 0.6 - l. Let r = o + -0.6. Which is the smallest value? (a) 1\/6 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.39424kg to nanograms.\nAnswer: 1394240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.31375887 to 1 dp.\nAnswer: 37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -357, 0, 6, -4, -8, 1 in ascending order.\nAnswer: -357, -8, -4, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -44. What is the biggest value in 0.03, -1\/6, x?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 4*t - 12. Let b be g(-6). Let z(c) = c + 5. Let s be z(b). Suppose -56 - 144 = -5*p. Solve 4*a = 5*m + p, -3*m = s*a - m - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2 - 3*g - 1. Let f be t(3). Suppose -4*w + f = -a, -4*w + 8 = -4. Suppose a*j - 50 = -j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64245567959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 29 = -4*z, 2*z - 20 = 6*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4090 + (2\/7)\/((-47)\/329). Suppose -6*j = 644 - t. What are the prime factors of j?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -6. Suppose -10*h + 259 = -221. What is the highest common factor of x and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0358137 rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*p - 3 = 174*p, -3*b = 5*p - 26577. List the prime factors of b.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-3)*a*a)\/a)\/(a\/a**1*a*a))\/(a**(-2\/7)*a*a**6*a))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12291431, -24582859, -36874285, -49165709, -61457131, -73748551?\n\"Answer: t**2 - 12291431*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19533 is divided by 47.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 50 = -4*j + z, 0 = -3*j - 5*z + 30. Differentiate 2*y**4 - 2 + 11*y**2 - j*y**2 - y**2 with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, 0.5, -0.227.\nAnswer: -7\/3, -0.227, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*d*f**2*g**3 + 60*d*f**2*g + 2*d*f*g + 50*d*f + d - 20*f*g**3 wrt f?\nAnswer: -224*d*g**3 + 120*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.96 + -1. Let y = 2.84 + -3.14. Let i(g) = g**3 - 31*g**2 + 31*g - 28. Let j be i(30). Which is the biggest value? (a) v (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -15 - (-8 + 4)) + (-4 - -1) + 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 297510617 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -561, -1764, -4115, -7998?\nAnswer: -13797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -27, -30, 7, 108, 297, 598?\n\"Answer: 4*p**3 - 16*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + 20\/30. What is the second biggest value in -0.2, q, 4, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + o + 5 = 0, -o = 5*n - 4*o - 21. Solve -2*a - 12 = l, -n*l - a + 4*a = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3626524 decades?\nAnswer: 0.003626524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -91\/241?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1243\/5 - 250. Suppose 0 = 411*r - 416*r - 10. Is r less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + -200304015?\nAnswer: -200304104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8, 3, 18, 1\/5, 1016?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -12 + 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-542)\/4 - 4\/(-8). Let y be ((-216)\/o)\/((-4)\/(-10)). Find the second derivative of 5*f + 15*f**3 - y*f**3 + 2*f wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30149214\/420455 + -63278\/879. Let m = 2\/615 - o. Which is the nearest to m? (a) 5 (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/8*(-16)\/120 - (-62)\/(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-18))\/((216\/3)\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**3 + 1\/4*n**4 + 0*n**6 + 10 - 2*n + 19\/21*n**7 + 1\/20*n**5 - 5\/2*n**2. Find the third derivative of w(b) wrt b.\nAnswer: 2280*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -443*b + 12. Let s(p) = -906*p + 24. Determine -4*s(l) + 9*x(l).\nAnswer: -363*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 57, -0.5 in decreasing order.\nAnswer: 57, 4, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370091730 by -10.\nAnswer: -37009173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0, -57.7, 3, 0.008?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 125*q**3\/3 - q + 3. What is the remainder when c(-1) is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6*18\/(-108))\/((-1)\/(-12)). Put 2, 3, l, -27, 1 in increasing order.\nAnswer: -27, l, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*m - 99*m + 2208091 + 576075. List the prime factors of m.\nAnswer: 2, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2826527*v**3 - 6*v**2 - 3*v - 40884?\nAnswer: 16959162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17349? (a) -0.3 (b) 2 (c) 6 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffcn when four letters picked without replacement from fsccyccsyyfffcnf.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -23.56\nAnswer: 4.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 4*g**2 + 5*g + 8. Let i be y(-3). Suppose j - i*n - 446 + 115 = 0, -2*n = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 26\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3672 and -131\/2040?\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o - 30 = 135*o + 216 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/2 - 2693*s + 5387\/2 = 0.\nAnswer: -5387, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - r**2 + 3*r**2 + (2*r**2 - r**2 - 3*r**2)*(2 - 3 + 2) - 2*r**2 + 2*r**2 - r**2 + (-8*r + r + 9*r)*(3 - 2*r - 3)*(-3 + 2 + 2).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5445) - (sqrt(5445) - (sqrt(5445) + (-1*sqrt(5445) - sqrt(5445)))) - sqrt(5445))\/sqrt(9)*2)**2.\nAnswer: 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - 1592.3?\nAnswer: -1680.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 1. Let o(g) = 6*g**2 - g - 3. Let t(n) = 5*f(n) - o(n). Let d(w) = w - 1. Give 6*d(h) - t(h).\nAnswer: h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1844, 3, -4, 1, 0 in increasing order.\nAnswer: -5, -4, -2, 0, 1, 3, 1844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 - 2*t + 561. What are the prime factors of y(0)?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3*u**2 - 2*u)*(-1 + 1 + 2) + 2*u**2 + u**2 - 4*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 12*l**2 + 7*l - 26. Does 13 divide j(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290353*c - 144874*c - 145250*c.\nAnswer: 229*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 - (3\/1 + -11). Let c(p) = p**2 - 2*p - 21. Let x be c(s). Calculate the highest common factor of x and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 1215*k**4 - 128376*k**3 + 1087068*k**2 - 2841696*k + 1881792 = 0 for k.\nAnswer: 1, 4, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d - 22*d = 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 - 4*h**2 + 2*h**2 - 2*h**2 + 4*h**2 + 3*h**2 + 3*h - 3*h + 2*h**2 - 2*h**2 + 3*h**2 - 2*h**2 - 1 + h**2 + 1 + (-1 - h + 1)*(2*h - h - 3*h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 384061.4 litres in millilitres?\nAnswer: 384061400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 + 393 + 397 - 1188 + 398. Let i(q) = 8*q - 8. Give r(i(x)).\nAnswer: -256*x**2 + 512*x - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6 - 2. Suppose 2*c = -o*c + 28. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108557203.\nAnswer: 19, 5713537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - c + 215, 2*q = -3*c + 92 - 6. Suppose 34*n = q*n - 27. Solve 3 = n*w - 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231725 (base 10) in base 14?\nAnswer: 6063b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 12*r**2. Let l(f) = -3*f**2 + 1. Calculate l(b(y)).\nAnswer: -432*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(3*x**2 - 2*x**2 - 2*x**2)*(0 - 1 + 0).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3664*w + 35. Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**(-1\/11)\/(((u*u**(-2))\/u)\/(u*(((u\/u**6)\/u)\/u)\/u)))\/(((u**(1\/9)*u)\/(u*u\/((u**2*u)\/u)*u))\/(u**(-2)\/(u\/u**(2\/19)))) assuming u is positive.\nAnswer: u**(-15173\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1733331 and 6933324.\nAnswer: 6933324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -26*b**2 - 2*b + 4. Let t(p) = -54*p**2 - 5*p + 9. Let d(m) = -9*o(m) + 4*t(m). Let j(s) = 14*s. What is j(d(y))?\nAnswer: 252*y**2 - 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 12*r = -5*a + 21*r + 109, -5*a = 18*r + 689 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -121215?\nAnswer: 121215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4204201 + 1000?\nAnswer: -4203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13437.7 millilitres?\nAnswer: 13.4377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46278523?\nAnswer: 46278523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*o - 471 - 499 = 433 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqqqkllkyqqlklqlkl. What is prob of sequence lq?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6752005?\nAnswer: -1\/6752005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 539\/393 or 1?\nAnswer: 539\/393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 5*w**2 + 6*w - 6. Let m be h(4). Let t be (-9 - -8) + 6\/m. Factor -19*i**4 - 7*i**4 - 3 + 36*i**3 - 12*i + 6*i**t - i**4.\nAnswer: -3*(i - 1)**2*(3*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 994955624?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 - 113. Calculate the highest common divisor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + -0.23. Let o = 0.9 - u. Let m = -0.32 - -0.02. What is the nearest to o in m, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45a6a + 1?\nAnswer: 45a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1397, 11147, 37593, 89081, 173957, 300567?\nAnswer: 477257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.2 + 42.2. Let d = -6 - -8.5. Let o = d - q. Sort -1\/5, 6, o in descending order.\nAnswer: 6, o, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4683, -18124, -40501, -71814, -112063, -161248?\nAnswer: -219369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 309*f**3 + 756*f**2 + 276*f.\nAnswer: 3*f*(f + 2)*(103*f + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -39*l**8\/2 - l**7\/14 - 1259*l**4\/12 - 1663*l. What is the third derivative of v(c) wrt c?\nAnswer: -131040*c**3 - 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12*g**2 + 181*g + 2168. Give c(23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1219 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwwhwhnnhww. What is prob of picking 1 w and 1 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*j = -3*k + 12, 12 = 3*k + 5*j. Suppose -3*n - 4*q - 4 = 0, 0*n - 4*n = k*q. Let l = -186 + 188. Solve 2 + n = l*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98856 divided by -2?\nAnswer: -49428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 174846727 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: Suppose 18 = -3*l + 6*l. Suppose -2*o + l = 4. What is the nearest to o in 1\/3, 3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = t + j + 646, -4*t - 2564 = -4*j. Let y = t + 5115\/8. Find the common denominator of y and -95\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 8, 4, 519, -9 in ascending order.\nAnswer: -9, 0, 4, 8, 9, 519","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176989.\nAnswer: 176989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 254247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1246300 by 249260.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 15.8, -2\/9, -18017\/4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 820985 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/6 + 4\/(-8). Let l(a) = -9*a - 7. Let w(m) = 3*m + 2. Give v*l(c) + 7*w(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -0.4.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 4*m - 3. Let x(a) = -a + 1. What is u(r) + 2*x(r)?\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.2. Let j = 650832 + -650833. Which is the nearest to i? (a) j (b) 5 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*g**3 + 2*a**2*g**2 - 2*a**2 + 15*a*g + 7*g**3 - 2 wrt g.\nAnswer: 6*a**2*g + 4*a**2 + 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6447341622?\nAnswer: 2, 3, 31, 227, 311, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -12. Does 6 divide (-2 - (0 + -13)) + p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011210010210 + 112020?\nAnswer: -2011202121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**5 - 3*s**5 - 3*s**5 + 35*s**2 - 164*s**5 - 35*s**2 + (s - 2*s + 3*s)*(0*s**4 - 2*s**4 + s**4))*(-73 - 6 + 31 - 18).\nAnswer: 11088*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43 or 2\/247?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -x + 3*x - 9, 54 = 4*x - 2*k. Let p be 1\/(x\/(-9) + 1) + 433. Suppose -4*y - p = -m, -2*m + 2*y + y + 880 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 12*d + 2*r + 12175, 5*d - 12200 = -3*r. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-5*n**3 + 0*n**3 + 4*n**3) + 1 - 35552*n**2 + 35552*n**2 + 56*n**3.\nAnswer: 57*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i - 0. Let z = 64 + -18. Suppose i*b = -3*u + z, -b + 5*b - 53 = 3*u. What is the remainder when 20 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - 9. Let j be (-22)\/u - (-390)\/7. Suppose -2*y + y + j = 0. What is the remainder when y is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 17. Let l(k) = -k**3 + 3*k**2 - 6*k - 22. Does 16 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 13*t**2 + 2. Calculate the smallest common multiple of n(-13) and 10\/8*(-32)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1518, 1510, 1498, 1482?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176 + 329. Let x = f - -56. List the prime factors of x.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 6\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.7 to 0 decimal places.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*t + 29. Let u(a) = a**3 - 2*a**2 - 2*a + 2. Let v(n) = 18*n**3 - 39*n**2 - 39*n + 39. What is t*v(k) - 117*u(k)?\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 11 + 27. Let z(f) be the second derivative of 1\/40*f**5 + 1\/24*f**4 - 1\/12*f**3 - 5*f + 0*f**o + 0 - 1\/60*f**6. Factor z(m).\nAnswer: -m*(m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2458*u**6 - 1391*u**2 wrt u.\nAnswer: -294960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-24)*1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130.88*56.85.\nAnswer: 7440.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 9:26 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(52) - 2*sqrt(52)) + sqrt(52) + sqrt(468)\/(sqrt(18)\/sqrt(2)))**2 + -4 + 2.\nAnswer: -12*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02606467 + 7.232.\nAnswer: 7.25806467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 627.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*-3*(sqrt(132) - (sqrt(132) - (sqrt(132) + sqrt(132)*2)))*-4)\/(sqrt(1200)*-1 + -4*sqrt(768)).\nAnswer: 120*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4355 + 4400. What is the remainder when 269 is divided by r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195.9 - -196.4. What is the fourth smallest value in 0.3, d, 2\/13, -39?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 583, 582, 581, 580, 579?\n\"Answer: -i + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (2 - 4) - -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1100011010000?\nAnswer: -1100011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 22. Let a be v\/9 - 2\/6. Sort a, -4, 2 in descending order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 g, and 1 k when four letters picked without replacement from {k: 5, w: 3, p: 9, g: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.01 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-2)\/(-264))\/(10 + (-209)\/22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71029831499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770663 is divided by 1770658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkss. Give prob of picking 1 k and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -3*w**5\/10 + w**4\/6 + w**3\/3 + w**2\/2 - w. What is the units digit of x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1641527 divided by 8.\nAnswer: 1641527\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -156, -236, -318, -402?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a - 3. Let p be b(-6). Suppose 0*t = p*t - 15. Suppose -4*u + t*u = 4. Solve 16 = -2*g - 2*l, 2*g + 10 = -u*l - 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170488 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1539) + sqrt(1539)*-2)*-1 + -4*(0 + sqrt(1539)))**2 + sqrt(133)\/(1*sqrt(7)) + (-2 + sqrt(1900) - sqrt(1900)) + 1.\nAnswer: sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -66?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/481 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34584 divided by 2638?\nAnswer: -17292\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 3*c + 1 - 6.\nAnswer: -11*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 17*y**3 - y**2 - 4*y - 2. Calculate m(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {i: 1, u: 2, l: 2, h: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 4, s: 3, z: 2, w: 3, k: 2}. What is prob of picking 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2518.311 - -2516. Let y = 2.312027 + h. Round y to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5 - 19298*n**4\/3 + 25688*n**3\/3 + 34304*n**2 - 102848*n\/3 - 102880\/3 = 0.\nAnswer: -2, -2\/3, 2, 3215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s**2 + 56*s**2 + 53*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 124*n + 2. Let c(m) = -372*m - 6. Determine 4*c(k) + 11*v(k).\nAnswer: -124*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-52)\/39)\/((-16)\/(-9)). Sort v, 4, 136.\nAnswer: v, 4, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 7:32 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -0.1. Sort -1\/3, j, -1.\nAnswer: -1, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 1. Let g(f) = 50*f**2 + 40. Give -g(i) - 40*n(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48346146 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/17)*s\/(s*s*s**6*s))**(-1\/5)*((s\/(s*s*s*s**5))\/(s*s\/s**8*s*s))\/(s**(1\/5))**(-16\/3) assuming s is positive.\nAnswer: s**(-91\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 12*j**2 - 169*j + 4. Calculate the smallest common multiple of f(-19) and 4.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1958*a + 14719*a - 6916*a.\nAnswer: 5845*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -10 - (-1 - -3). Let x be (-2)\/g - 4\/(-14). Suppose x = -5*i + 4*y + 17, 5*y - 13 = -3*i + 12. Solve -i*u = -6 - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*p = -3*u + 191*p - 30, -3*u - 12 = p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from hqkrrrkrgqeg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((11 - 3) + -5)\/(2\/4*2). Sort a, -1, -21, 2 in increasing order.\nAnswer: -21, -1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by -1\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(((q**(5\/6)*q*q*q)\/q)\/q)*q)\/q*q*q**(-2\/13)*q)**49 assuming q is positive.\nAnswer: q**(7693\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24580441 is divided by 86.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 15*d + 27 = 0. Sort d, -5, 10 in descending order.\nAnswer: 10, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 3 - -27) + -20 + -110\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549974 is divided by 474.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(616\/(-546))\/22?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.3 - 17. Let d be (-1)\/(245\/14)*5. What is the second smallest value in -0.2, d, -3, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from wubhwbwwwwwwwwnbwnw.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is e10c (base 15) in base 5?\nAnswer: 3004422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggek when four letters picked without replacement from {e: 3, g: 7, k: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/7)*f)**(22\/7)\/((f\/f**3)\/f)**(-35))**(1\/2) assuming f is positive.\nAnswer: f**(-4881\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -144, -405, -848, -1515?\n\"Answer: -7*q**3 - 28*q**2 + 12*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u - 3. Let c be 32\/(-14) - 6\/(-21). Let q = c + 7. Suppose 25 = d + q*y, 2*d - 4*y + 19 = -1. Calculate k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -29*y**3 - 45*y**2 - 197*y + 6. Calculate the remainder when x(-5) is divided by 1744.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-4 - (sqrt(152) + sqrt(152)*-2*-6))\/((sqrt(800) + sqrt(800)*-6 - sqrt(800))*-5).\nAnswer: -17*sqrt(19)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 17*h - 3*q + 235218, 3*h = 5*q + 235210. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11417868?\nAnswer: 2, 3, 7, 11, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a421 (base 13) to base 10.\nAnswer: -251161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (621\/(-621))\/(7*(-1)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - h**2 + h**2 + 5 + (13 + 1 - 6)*(-34*h - 3*h**2 + 34*h).\nAnswer: -23*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 170*l**2 + 17*l + 16. Let o be x(-1). Put o, -1, 5 in descending order.\nAnswer: o, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 145 + 56 = -3*x, -21 = -x - 3*o. Let q = 36 - x. Suppose 1 = 2*h - q. Put -2, h, -3 in descending order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2200, 17347, 58464, 138535, 270544?\n\"Answer: 2164*k**3 + k**2 - 4*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006019 to four decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 5. Let g be r(0). Is 370\/8 - g\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4876396072 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -482*j**5\/9 + 13016*j**4\/9 - 54520*j**3\/9 - 406100*j**2\/9 - 112226*j\/3 + 156 = 0.\nAnswer: -3, -1, 1\/241, 13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398\/9, 43, 13.5, 1\/3 in increasing order.\nAnswer: 1\/3, 13.5, 43, 398\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624 and 75582.\nAnswer: 604656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314 - 192. Suppose 2*b - i = -4*f + 76, -4*f = 4*b - 384. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 1\/54*t**4 + 26\/27*t**3 - 31*t + 169\/9*t**2 + 0. Factor i(q).\nAnswer: 2*(q + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 = -z - 109. Let r = -267 + z. List the prime factors of r.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200110 - 0?\nAnswer: 1200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 10 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/4*24\/(-20). Suppose q*l + l - 4 = 0. Let k be l*-2 + (-3 - -5). Do k and -3\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -30*q - 725 + 1789 - 822. What is the remainder when 44 is divided by l(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14616 (base 11) in base 8?\nAnswer: -50344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2931384 and -26.\nAnswer: 2931384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7633956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -57*v**2 - 2*v + 4. Let t(k) = -17841*k**2 - 627*k + 1254. Let z(b) = 627*d(b) - 2*t(b). Let h(n) = n. What is z(h(u))?\nAnswer: -57*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 503 - 13*y - 503 + 497*y**3 + 14*y in the form m + i*y**2 + k*y**3 + t*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2677 - 2675. What is the third smallest value in 0, b, -63\/4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 9?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 1, -174.\nAnswer: -174, -13, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9936 and 1196.\nAnswer: 129168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6155 - -6173. Let v be ((-3)\/(-2))\/((-3)\/(-4)). Let a be (-2)\/(182\/(-90) + v). What is the highest common divisor of a and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1935, -8, 5, 0.3, 2\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 426*m**2*n*y**2 + 2*m**2*n*y - m**2*n - 9*m**2 - m*n*y**2 + n*y**3 wrt y.\nAnswer: 852*m**2*n - 2*m*n + 6*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z - 60*z - 13 + 3 - 23*z.\nAnswer: -115*z - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09957 - -0.09954163. What is g rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 6*z - 8. Let i be f(2). List the prime factors of 9 + -1*(i - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -25*y - 1. Let c be n(-1). Suppose 275*k = 279*k - 24. What is the greatest common divisor of c and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 316, 1063, 2514, 4903, 8464?\n\"Answer: 39*v**3 + v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-14 - ((-6 - -20 - 8) + -18)) - -11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.16591 litres to millilitres.\nAnswer: 60165.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1363 + 12?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6138*o + 3027*o + 3042*o.\nAnswer: -69*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 16*r**2 - 37*r + 3. Calculate z(12).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6754 and 268318.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - t)*(-247 - 42 - 152 + 630 + 5*t) in the form p*t + s*t**2 + f and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -115. Suppose 0 = 12*z - 801 + 141. Calculate the highest common factor of l and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3183 - 33 = 35*b. What is the highest common factor of 330 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19963000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1201893 and 14.\nAnswer: 2403786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22616, 17813, 13010, 8207?\n\"Answer: -4803*c + 27419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = 16*h + 243 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 20. What is the units digit of x(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 7. Let z = t - -7. Suppose -5*j + 5 = 4*s, 15 = -0*j + 3*j. What is the second smallest value in -0.3, z, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.04535.\nAnswer: -0.004535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r**4\/4 + 2*r**3 + 5*r**2\/2 + 5*r + 1. Let o(l) = -4*l**3 - 7*l**2 - 6*l - 6. Let d = 35016 + -35011. Give d*o(k) + 6*x(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 10, -2*s + 4*s + 7 = -3*z. Suppose -7*j + 4*m = -2*j - 1496, s*j = 4*m + 1200. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqdxd. What is prob of sequence di?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + x - 90 = 0, c + 0*x + x = 30. Let k be 3\/(-18) + 106205\/c. Round k to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 646 and 371?\nAnswer: 239666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1865\nAnswer: -1\/1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220409.\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1082 + 1672. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b7 (base 15) to base 7\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c**26\/c)))\/(c*((c*c*(c\/(c\/((c*c**(-28))\/c)))\/c*c)\/c)\/c*c))\/(c**(-21\/2)\/(c\/(c*c\/c**19*c*c)*c*c)) assuming c is positive.\nAnswer: c**(157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1773 + 57*v - 273*v - 1775 - 183*v.\nAnswer: -399*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i = 0. Suppose 144 = -i*l + 2*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.72092 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35473 is divided by 8247.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 8 = -n, -4*n + 3*o - 5 = 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -570765 - -987878. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127a (base 13) in base 6?\nAnswer: -20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -91. Solve -j + 0 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3517, 7122, 10815, 14596?\n\"Answer: 44*y**2 + 3473*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 4, -3, 6935, -1, 1 in decreasing order.\nAnswer: 6935, 4, 2, 1, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36239.\nAnswer: 7, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 352*i - 374*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/3 + 18*a**4 + 794*a**3\/3 - 1606*a**2\/3 - 4688*a - 16280\/3 = 0. Calculate a.\nAnswer: -11, -2, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*f**3*j*p**3 + f**3*j*p + 4*f**3*j + 2*f**2*j*p**2 + 3*f**2*p**3 - 75*j*p**3 wrt f?\nAnswer: -72*j*p**3 + 6*j*p + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:27 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 3792.\nAnswer: 68256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-14) + -6 + (-184)\/(-28). Let t(i) = 7*i**3 - 2*i**2 + i + 1. Let c be t(x). Suppose -184 - 1475 = -c*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 208*a - 413. Let q be j(2). Solve -q*w - v = -9 - 2, -5*w = -3*v - 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s + 10*s**2 - 10*s)*(0*s**3 - s**3 - s**3) - 3*s**5 + 5*s**5 - s**5 + (2*s**3 + 0*s**3 + 0*s**3)*(4*s**2 - s**2 - 6*s**2).\nAnswer: -25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - (6 + -2 - 4). What is the nearest to r in 4, -6\/11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-399)\/152)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 bigger than 7650\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 379, 2.\nAnswer: 0, 2, 4, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**3*i**0*(i**(-2\/7))**7 assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26158465807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95366.97l to millilitres.\nAnswer: 95366970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-10)*(-40)\/(-16). Suppose 0*g - 102 = -w*g. Suppose 3*v - g = -3*s - 3, -3*s - 2*v + 44 = 0. Calculate the remainder when 22 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-15))\/(-2))\/(3\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-159)\/(-12) + 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 3:15 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let r be 3 + 3 - (m + 0). Solve r + 2 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200144 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/9)\/(d**(-19)\/d) assuming d is positive.\nAnswer: d**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23022002113 (base 4) to base 10\nAnswer: 2924695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4*x + 20 - 7, -5*r = -x + 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*h**5 - 9*h - 4*h + 3*h + 16*h**5 wrt h.\nAnswer: 660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = 10*i + 40*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/(-1225))\/((-3)\/(-84))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1133665 and 8965.\nAnswer: 12470315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sys when three letters picked without replacement from sseysyyss?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:23 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {j: 4, n: 1, z: 8}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -1\/30*u**5 + 0*u**3 + 0*u**4 + 0*u + u**2 + 0. Let v(s) be the second derivative of -5*s**3\/3 - 24*s. Determine v(q(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2422*t**3 + 3*t**2 + 8*t - 3. Suppose -47*v = -27*v + 40. Is x(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-217)\/10)\/(-7)*-3 and (-4)\/(-12) + (-341)\/60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -46, 7\/3, -2\/11?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*x = 22612, -173*f = -178*f - 5*x + 22620. Calculate the smallest common multiple of 6 and f.\nAnswer: 27138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -114, -318, -700, -1320, -2238, -3514, -5208?\n\"Answer: -10*y**3 + y**2 - 19*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -216213*1.8\nAnswer: -389183.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c + 8. Calculate the lowest common multiple of 12 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, q: 1, t: 1, r: 1}. What is prob of sequence lrq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42014921.\nAnswer: 13, 248609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32459, 32457, 32455, 32453, 32451, 32449?\n\"Answer: -2*m + 32461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10435*x**3 + 3120*x**2.\nAnswer: -62610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 - 11*r**2 + 156*r.\nAnswer: -r*(r - 12)*(r + 78)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = k - 31, -2*w - 15 = -k + w. What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52276 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2\/6*-3. Let t be (-4)\/(1 + 1) - w. Calculate the remainder when 8 is divided by 1 - -2 - 0\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from udiudiududud?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 8*b**2 + 5*b + 4. Let x be v(-8). Let l = 14 - x. Calculate the remainder when l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 6. Let a be (-2 - 60\/(-9))*-3 - 3. Let h be m(a). Let y = h + 24. Solve -k + 5 = 2*u, -2*u - 3*u = -5*k - y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1470 and 2352?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1214, 1567, 1908, 2231, 2530, 2799, 3032, 3223?\n\"Answer: -n**3 + 360*n + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3032, 10785, 23720, 41849, 65184?\n\"Answer: 2*c**3 + 2579*c**2 + 2*c + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 4\/2449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d + 1. List the prime factors of h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8947634?\nAnswer: 2, 293, 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(1 - (-6)\/(-3)). Let y = h + 45. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(1*sqrt(5)) - sqrt(42) - sqrt(42))\/(sqrt(294)*-6).\nAnswer: sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-92))\/(2\/140)*1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, g: 1, u: 7, f: 5, p: 2, h: 2}. What is prob of sequence gfq?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 274, 1063, 2372, 4195, 6526, 9359?\n\"Answer: -j**3 + 266*j**2 - 2*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10415225 + -32?\nAnswer: -10415301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 3*l**2 - 3*l + 2. Let u = -13 + 18. Suppose -n - 2*n = -2*d - 9, -2*d + u*n - 11 = 0. Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5439 - -16043. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 * -0.5\nAnswer: -0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2) - (sqrt(2) - 1*(sqrt(10)\/sqrt(5))**2)) + sqrt(2).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -71. Suppose -a + 0*a + 1 = 0. Calculate the highest common factor of a and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 3 - 2278\/(-945). Let i = k - 2\/189. Let p = -1\/9 + 35\/72. What is the closest to -2 in 2\/15, i, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000030375 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*w - 16, -10*w + 5*w - 28 = 3*q. Let p(u) be the third derivative of u**4\/12 + 2*u**3\/3 + 12*u**2. What is p(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56995\/874 - 1232\/19. What is the common denominator of -91\/4 and u?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 194, -3, 1\/25, 6\/11?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1571.74939 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*s = 11 - 2, -7 = 4*a + 5*s. Let t = a + 7. Suppose x = -x + t. Which is smaller: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*f + 125*f = 254*f. Let o(r) be the second derivative of f*r**2 - 1\/2*r**4 + 8*r + 0*r**3 + 0. Let s(u) = -u. Calculate o(s(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(180) - (-1*sqrt(180)*-3 - sqrt(180) - sqrt(180)) - (-1*sqrt(180) + -5))*4)**2.\nAnswer: 864*sqrt(5) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.85045l to millilitres.\nAnswer: 72850.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:51 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5317 or 1.0783?\nAnswer: 1.0783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2, -153 in increasing order.\nAnswer: -153, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45354032 is divided by 1675.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 61.7. Let r = -42 + 45.8. Let w = r - -0.2. Put w, n, -0.3 in increasing order.\nAnswer: -0.3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmi when four letters picked without replacement from {n: 2, x: 6, h: 1, m: 2, i: 4}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 2. Let i(y) = y**3 + 11*y**2 + y + 9. Let f be i(-11). Let z be b(f). Suppose 0 = -z*w + 3*w - 51. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1233, -1109, -901, -609, -233?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/570 and -62\/35.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 502, 447, 384, 319, 258, 207?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/1021 - 1116803\/9189. Is x >= -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 370028*u**2. Let f(x) = 861*x. Give f(h(v)).\nAnswer: 318594108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9975, -20018, -30107, -40242, -50423, -60650, -70923?\nAnswer: -81242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(14 + (-112)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 4.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3 + 51*c**2 + 0 + 2 - 4. Let l(n) = -22*n**2 + 16. Let q(f) = -4*f**2 + 3. Let b(j) = -3*l(j) + 16*q(j). What is x(b(z))?\nAnswer: 204*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5683 + -5638. Suppose -329 = -4*g + 175. What is the highest common divisor of k and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 1. Let r(h) = -9*h - 2. Let f be 14\/(-119) - (-100)\/(-17). Let k be 2\/(-2) + 1 + f. Calculate k*r(q) - 14*s(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*f**5 - 10*f**4*r - 1271*f**3 - 58210*f**2 - 4*f*r wrt f.\nAnswer: -1020*f**2 - 240*f*r - 7626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 60784.\nAnswer: 3647040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/8115 and -9\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -1\/90*h**5 + 1\/12*h**3 + 16*h**2 - 1\/144*h**4 + 0*h + 0. Solve g(i) = 0 for i.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16198 divided by -28.\nAnswer: 1157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224959\/6 - 37492. Let r(x) be the second derivative of -23*x + 4*x**2 + l*x**3 - 2. Let n(c) = c + 1. Give -40*n(u) + 5*r(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 774 and 769 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 13) to base 2.\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*f - 115 + 10 = 0, -3*f = -5*a + 73. Let r(y) = -y**3 + 10*y**2 - 11*y + 8. What is the remainder when r(8) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-6)*2*(-2315626)\/2. Let o = -3020317 - k. What is o rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 28 = -4*i, i - 5*m = 2*i + 9. Calculate the remainder when 41 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*g - 14 - 3, 3*m - 5*g = 0. Suppose -4*h = -9*h - m. What is the remainder when (h - -2) + 45\/3 + 1 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 - 7*i**4\/12 - i**3\/3 + 5*i**2\/2 + 2*i. Suppose -2 = -5*h + 38. Is k(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 12*m**2 + m - 18. Let y be p(11). Suppose 0 = 40*d - 1566 - y. Calculate the remainder when 78 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ukjktjuouttt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 3*o + 1. Let w be n(3). Suppose 4*v - 2 = w. Suppose -v*i = -5*i + 10. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*h = -240*h - 204. What is the remainder when 178 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5630*k**3 - 14*k + 64 wrt k?\nAnswer: 33780*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/7, -0.18, -2\/9?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 11) to base 12.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1397*0.4\nAnswer: -558.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378890664 to the power of 1\/2, to the nearest integer?\nAnswer: 37133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -80.081 * 1.8\nAnswer: -144.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, z: 2, f: 3}. What is prob of sequence cz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/27 and -35\/1537551.\nAnswer: 4612653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 30 = 2*m - 5*k, -5*k + 20 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (166028\/(-1540) - 8)\/2. Let l = r - -801\/14. What is the common denominator of l and 23\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 42. Suppose -5*a - h = 2*a. List the prime factors of (714\/(-28))\/(a\/4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/((k*k\/k**(-11))\/k)))\/k)**(-39) assuming k is positive.\nAnswer: k**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-10)\/10*-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5657227*k + 5657224*k - 147 = 5*q, -6*q = -3*k + 183 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71734 divided by 1.\nAnswer: -71734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5\/9 + n**4\/9 + 11*n**3\/9 - n**2 - 2*n = 0.\nAnswer: -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 - 2*z**2 - z. Let l(n) = 7*n**3 + 4*n**2 + 2*n. Give -11*g(k) - 6*l(k).\nAnswer: 2*k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 0.2 (c) 0.8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/((u\/u**5)\/u))\/u)*u\/(u\/u**(-1\/4)))\/((u**(1\/4)*u*u)\/(u**(-2\/21)\/u))*((u*u\/u**(-1\/4))\/u)\/(u*u**(-8))*u**1*u**(-1\/3)\/u assuming u is positive.\nAnswer: u**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, -9, 14 in increasing order.\nAnswer: -9, -3, 0, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(((-3)\/(-15))\/((-11)\/(-33))). Let d = -21 - -20.89. Let r = d - 2.89. What is the closest to r in j, -3\/4, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14558620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3352, 26753, 90222, 213793, 417500?\n\"Answer: 3339*w**3 + 28*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 306, 1056, 3076, 6996, 13446, 23056, 36456?\n\"Answer: 105*c**3 + 5*c**2 + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5869.882g in milligrams?\nAnswer: 5869882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 93*k - 8092. Let y be q(87). Which is the closest to 31? (a) 1\/6 (b) -3\/5 (c) y (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1428*a - 3186 = -1310*a for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -n - 13*z, -5*n + 16*z + 2*z - 31 = 21*z - 141 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -859, 4, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let f(o) be the first derivative of 3*o**3 - 38. What is c(f(z))?\nAnswer: -81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = j. Let i = j - 2. Let a(d) = -2*d. What is the units digit of a(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.4 (c) 2\/21 (d) -9923 (e) 0.096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/5*g**2 - 8\/5*g + 2*g**3.\nAnswer: 2*g*(g + 2)*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y + 8*y**2 + 0*y + 16 - 17 - 3*y. Let p be m(3). Let w be 4\/10 - 4361\/(-35). Calculate the greatest common divisor of p and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*14\/(-105)*3\/(-4). Suppose z - 11 = -0*v + 3*v, -v + 3 = z. Which is the second smallest value? (a) 0.3 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 256, -105, -3, -16 in decreasing order.\nAnswer: 256, -3, -16, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*s**3 - 65130220*d*s + 227947108*d wrt s?\nAnswer: -3*d*s**2 - 65130220*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -400*u. Let w(d) = 4*d. Determine w(j(y)).\nAnswer: -1600*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 441.12003 from 164550.\nAnswer: 164108.87997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/11)*w*w\/(w\/((w*w\/w**3)\/w*w)))**(-36)\/(w**(-11)*w*w**(4\/9))**(-20) assuming w is positive.\nAnswer: w**(-21836\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6459727 in 4, -0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/5 (c) 2\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -39, -74, -131, -216, -335, -494, -699?\n\"Answer: -y**3 - 2*y**2 - 6*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -319*t + 251*t - 796*t - 1341*t**2 wrt t.\nAnswer: -2682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279668 is divided by 1606?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (-5 + (1 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80\/3, 4, 0.3, -48, -0.3 in decreasing order.\nAnswer: 4, 0.3, -0.3, -80\/3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let r = w + -3.9999993. What is r rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250\/9, -0.4, -2 in descending order.\nAnswer: -0.4, -2, -250\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36320 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -473 + 492. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 5*i**2 - i - 2. Let c be x(-5). Suppose -26 = -2*n - 5*f, c*n + 2*n = -2*f + 23. Suppose 0 = -n*y + 62 + 40. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 2. Suppose -3*h - 5*g = -17 + 1, -h = 3*g - 12. What is t(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + 6 + 4 + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/345 - (-56)\/30 - (-5)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/216 - (-2)\/(-6). Let l = m - -3\/8. Which is the closest to -1? (a) -1\/4 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1239000 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -89. Let f = -7\/2 - -6. Which is the third biggest value? (a) f (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 241.1, -1 in descending order.\nAnswer: 241.1, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**5 + 10*s - 2*s**5 + 0*s wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1661906 * 0.2\nAnswer: 332381.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkztezzkjek. Give prob of sequence ejt.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/112*(-2)\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31027165 to the nearest integer?\nAnswer: 5570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141\/10 - -58\/5. Sort s, -0.2, -1, -2 in increasing order.\nAnswer: s, -2, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 566336.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose 0 = v - 1 - 0. Let z(f) = -f**2 + 10*f - 12. Let r be z(9). Put v, j, r in increasing order.\nAnswer: r, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-6)\/4 + 1). Let n = d + 4. Suppose -n - 2 = -2*r. Calculate the highest common divisor of r and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/74 - -175\/666. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 3*s + 12. Let l be i(-5). Does 8 divide ((-16)\/(-24))\/(l\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - 42\/(-136). Suppose -902*m + 8 = 2*n - 904*m, -5*n = 4*m + 25. Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.100726655 less than 0.038?\nAnswer: -12.062726655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 848.7 + -849. What is the nearest to 1 in 56, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 5*r**2 - 6*r + 8. Let o be s(-6). Let d(p) be the first derivative of o + 8 - 28 + 6*p + 4*p**2 + 3. Find the first derivative of d(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 8 = 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h**4 - 12*h**4 + 11*h**4)*(-14 + 5 - 6).\nAnswer: -375*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 116064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 118*j - 32*j - 85*j. Let n(t) = -27*t**2 - t + 0 + 0. Calculate n(d(f)).\nAnswer: -27*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**6\/18 - 2*r**5\/15 + 2*r**3\/9 - r**2\/6 + 263. What is z in l(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 80. Let o = 295 + -271. Suppose -25*n = -m*n - o. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(5 + -2*(-3*(sqrt(1331) + -1) - sqrt(1331))))**2.\nAnswer: -528*sqrt(11) + 766657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17c (base 16) in base 13?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 981*w - 128477. Give i(117).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = -4*v - w, w = -v + 2*v + 230. Let g = v + 66. Let k = 296 + g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 3*k + 3. Suppose 3 + 1 = p. Calculate the remainder when p is divided by j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7264602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k**3 + 4*k**2 - 67*k**3 + 126*k**3 - 4*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbou when four letters picked without replacement from {u: 3, b: 4, q: 1, a: 1, o: 5}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32958 and -0.5?\nAnswer: 32958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -417, -1, 164, -4, 80, -5 in increasing order.\nAnswer: -417, -5, -4, -1, 80, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjpcjjjppcfppphpjj. What is prob of sequence pch?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -689 - -215. What is the remainder when (7\/2 - 3)\/((-3)\/f) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/28*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -p - 4*p, 2*l = 2*p + 2. Let a = l + 9. Let z be (a - (3 + -1)) + -820003. Round z to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 11*g**2 + 4. Let i be w(11). Solve 7*d = 3*d + i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21240)\/(-7))\/((-28)\/(-69090)). Round b to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1237 + 1238. Put 1\/2, q, -84, -3 in decreasing order.\nAnswer: q, 1\/2, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let f(t) = -t**3 - 10*t**2 - t - 10. Let l be f(-10). Let b(w) be the first derivative of l*w + 0*w**2 - 1 - 1\/3*w**3. Give n(b(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223062 (base 7) to base 4.\nAnswer: -21221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/1371, 0.32928, -3?\nAnswer: 2\/1371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 653*v**2. Let k(h) be the third derivative of -h**4\/24 - h**2 - 209. What is i(k(r))?\nAnswer: 653*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17491.61 + -17491. Let k = 2 + -1.9. Which is the closest to k? (a) n (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 1\/4, -0.09, 687?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/16*-2*56\/84\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 4*y - 26, -2*y = 4*x + 2. What is the smallest common multiple of x and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1 = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*t - 29092, -899*m - 29116 = -900*m + t. Is 76 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 280*b. Let m(v) = 2*v + 64134 - 64134. Calculate w(m(x)).\nAnswer: 560*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2593054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 463145.4 + 3.\nAnswer: 463148.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.803 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106121 - -4?\nAnswer: 106125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 21000121?\nAnswer: -21000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*o**2 + 36 - 36 to the form u*o + z + j*o**2 and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 12\/17, 16, 4, -2\/23?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/16694 and -67\/170.\nAnswer: 83470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74 + 2?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:08 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-612)\/85*20\/(-3). Suppose -554 = -h*l + 46*l. List the prime factors of l.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*l**2 + 286*l**2 - l + 2*l - 2*l**3 - l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3750 and 161334375.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4\/6)\/1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:50 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*y = -388, 3*g + 43 = -y - 189. Put -4, 0.5, g, 0.2, 5 in increasing order.\nAnswer: g, -4, 0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 6 + 1\/2*g**2 - 2*g. What is l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 - 180*i + 2016 = 0.\nAnswer: 21, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406836 is divided by 1311.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -121?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002128 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -556163, -556169, -556175, -556181?\nAnswer: -556187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19472, 39717, 59946, 80153, 100332?\nAnswer: 120477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, 1 s, and 1 p when four letters picked without replacement from {i: 4, p: 3, z: 1, j: 2, s: 1, o: 7}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 27 = -2*m - 5*z, -z - 1 = 2*m. Sort -3, 6, m, -2 in increasing order.\nAnswer: -3, -2, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/29 (b) -1\/4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*4 - (-7583 + 7519)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6*((-1448)\/(-160) + -9)*1\/50 and 17\/15.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/4 - 661*j\/4 - 16230 = 0. Calculate j.\nAnswer: -541, -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.6 + 27.599994716. What is h rounded to seven dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(272) - (sqrt(272) + 1*sqrt(272))) + 0)**2 + (-5*(sqrt(272) + sqrt(272) + 2 + sqrt(272)*-3))**2)*2.\nAnswer: -800*sqrt(17) + 12168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -117. Let x(a) = 90*a + 84*a - 175*a + t. Calculate x(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -16*(-260)\/(-143).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -221, -235, -267, -323, -409, -531?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(325)*2 + ((-3 + sqrt(325))*1*5)**2.\nAnswer: -800*sqrt(13) + 8350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 4*k - 237 - 13, 0 = o - 16 + 46 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -6. Let x = t - -9.0000032. Round x to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -2)*(-1 + (-3)\/9). Let m(d) be the third derivative of 0*d + 0 - 6*d**2 - 1\/3*d**3 + 1\/24*d**t + 1\/60*d**5. Factor m(b).\nAnswer: (b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 14*m + 8*m + 88 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 + 44*y**2 + 94*y + 48 = 0. Calculate y.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41427?\nAnswer: 3, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/((-15)\/525*-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087 divided by -1?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 69?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22591, 22580, 22565, 22546, 22523?\n\"Answer: -2*v**2 - 5*v + 22598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 8 - 3*g - 3*g**3 + g**3 + 0*g**3 - 6*g**2. What is the units digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 - 5*i**4\/12 - 7*i**3\/6 - i**2 - 48*i. Calculate l(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.289*0.2.\nAnswer: -10.6578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -23*d**3 + 27171*d**2 + 17729*d + 1183. Calculate r(1182).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 - 2*j - 9. Let m be v(-6). Solve 5*i - 7 = m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.022, 4, -1\/9, 1\/2, -3.\nAnswer: -3, -1\/9, 0.022, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 6723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 15*j + 17. Let r be p(-14). Suppose 0 = r*i + 6. What are the prime factors of 0 + (-8)\/(4\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -9. Let d = 1 + a. Suppose d = -4*v - v + 3*o + 47, -39 = -4*v + o. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:24 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -163 (b) -51890 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpvsmvq. Give prob of picking 1 m, 1 r, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 292138.\nAnswer: 292149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 149136007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 2. Let g be n(2). Suppose 4*h - 3*t + 52 + 17 = g, 9 = -h - 2*t. What is the tens digit of 18\/h*65\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = 2*j, -3*u + 4*u + j = 1. Let l(k) = k + 3. Determine l(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 14*v**2 + 33*v + 10. Let n be p(11). Calculate the common denominator of -127\/54 and ((-26)\/(-9))\/(4\/n).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1. Let m be 6\/8 - 13\/(-4). Let w(h) = 12*h**2 - m + 2 - 11*h**2. Calculate -3*d(k) + 2*w(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 + 24\/2)*4\/(-36)*3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 4*w**2 + 13*w - 13. Let b be i(6). Let g = b - -61. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 12*p**2. Suppose -4 = -2*f + 12. Let d(m) = -f*m + 7474 - 7474. Calculate d(s(k)).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1222\/3669 - 1\/3669. Which is the closest to z? (a) -5\/2 (b) -10\/7 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5269043161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 + -1. Let u = a - 92.99864. What is u rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssssjjksjk. Give prob of sequence sssk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 286\nAnswer: -5\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from gygyyiiyigs.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.991 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 327 - 331. Let r(y) = 10*y + 4. Let i(v) = 3*v + 1. Let t be 0\/(-1) - -1 - 39. Let n = -24 - t. What is d*r(h) + n*i(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 20*y**2 + 2*y - 30. Let l be w(20). Solve 0 = -l*c + 9*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90000171 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*w + 12, 4*i = 3*w - 0*w + 12. Let o = 50 - 44. Suppose r + 5*x = -r + 18, i*r = 3*x + o. Solve 0 = 2*y + r*z - 22, y - z = 4*z - 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.1. Let o = 435 + -1129. Let k = 2081\/3 + o. Sort -6, d, -0.1, k in decreasing order.\nAnswer: d, -0.1, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 192*x**3 - x**2 - x + 1. Let r = -9 - -10. Is q(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1199, -2399, -3599, -4799?\n\"Answer: -1200*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 12*f = -3*h + 19, -3*h - f = -11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-3*(-1*sqrt(70) + sqrt(70)) - sqrt(70))\/sqrt(10))**2*-1 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214\/1195 - 5\/239. What is the nearest to -1 in 13\/3, 0.1, t, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 - -0.6. Let d be (-33)\/(-9) + 2\/(-3). Sort -3, d, m in descending order.\nAnswer: m, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/4290*-2*(-10)\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1368, 1403, 1500, 1689, 2000, 2463, 3108?\n\"Answer: 5*y**3 + y**2 - 3*y + 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o + 12 = 4*w, 4*w = 5*o + 13. Solve -5*d = 3*b + 17, -w*d - 3*d = -2*b - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 480\/(-252)) + -9 + (-4 - 1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33390 and 24.\nAnswer: 133560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -29943*n + 509034. Determine o(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 4*z**2 - 2*z**2 + (1 + 2*z**2 - 1)*(785 + 953 - 2013) in the form w*z + t + r*z**2 and give r.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2651728 and 32?\nAnswer: 5303456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -15*d**4\/2 + 76*d - 61. Differentiate a(f) with respect to f.\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(567))*-2 - (sqrt(77)*-1*-6)\/sqrt(11).\nAnswer: -24*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1229 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*x - 50*x - 78*x + 1598*x**2 - 88*x.\nAnswer: 1598*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3335 and 317338590.\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/(4235\/325 - 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/71, -1.33, 0?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*v - 1959*v - 492*v = -14987 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-4))\/(-4)*13\/78.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*t - 204, -r - t - 3*t = -48. Calculate the common denominator of 6\/20*112\/r and -173\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus -83.92?\nAnswer: 74.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*g = -925985 + 10505. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**3 - 215*q**2 + 1044*q + 174. Determine y(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 1. Let j be 2\/(-8) - (-15)\/(-4). Let q be r(j). Suppose 3*m + 535006 = -q*y, 0*m + m + 2 = 0. What is y rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1843704 and 4485640.\nAnswer: 1170752040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - t**3)*(-5 - 11 + 10)*(-4 + 3 + 4 - 2 + 4 + 0 + (5 - 2 - 2)*(-5 - 1 + 4) + 5 + 0 - 4 + 1 + 0 - 2) as h + r*t**2 + s*t**3 + k*t and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -136\/7 equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 2*d. Let p(t) = 50*t**2 - 8*t + 3*t - 27*t**2 - 26*t**2. Calculate 5*n(a) - 2*p(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 divided by 82?\nAnswer: 1345\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -111, -380, -903, -1764, -3047, -4836, -7215?\n\"Answer: -14*p**3 - p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348586 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56776 = -910*b + 8960*b - 953*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 60729*o - 5735034.\nAnswer: 3*(o - 20337)*(o + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3\/7)*f))**(-46)\/((f**(14\/3)\/f)\/f**(1\/6)) assuming f is positive.\nAnswer: f**(-325\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 6:53 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.2. Let q = 1 - 6. Suppose 2*b - 12 = -5*f + 5*b, 5*f - 2*b = 13. Sort f, o, q in descending order.\nAnswer: f, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -2, 9, 4, 0 in descending order.\nAnswer: 9, 4, 0, -2, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/12 + 5*z**3\/2 - z**2 + 247*z. Let o(f) = 1. Give l(u) + 4*o(u).\nAnswer: -u**2 + 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 17. Calculate the smallest common multiple of 9 and p(7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/6 - 4. Let d = 1\/12 + v. Determine q so that d*q**2 + q + 3\/4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**2\/2 - 13. Let u(z) = -3*z**3 - 9*z. Let n(j) = j**2 - 29*j - 56. Let v be n(-2). Determine v*l(q) - u(q).\nAnswer: 3*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4776306, -2 in ascending order.\nAnswer: -4776306, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69, 390, 965, 1788, 2853?\n\"Answer: -n**3 + 133*n**2 - 71*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -62897*3 + (-1 - 1). Let j = -126276 - g. Suppose 0 = 2*d - j - 129583. Round d to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120949.\nAnswer: 79, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*a + 4*s + 60, -47*a + 15*s = -52*a - 500 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(6516\/468 + (0 - 14)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73555 and 842005?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(((k*((k*k**(2\/25))\/k)\/k)\/k)\/k)*k*k)\/(k*k\/(k*k*k**(-4\/25)\/k)))**(-31) assuming k is positive.\nAnswer: k**(-3689\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129892027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.36 - -0.24. Let y = 15.4 + q. Let x = 18.99955 - y. What is x rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:54 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 9*x**2 - 44*x**2 - x**4 - 45*x**3 + 1 + 14*x**2 + x + 19*x**2 to u*x**2 + q*x**4 + d*x**3 + h + c*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v - 25*v - 11*v - 133*v.\nAnswer: -203*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t - 4. Suppose -3*i + 2*a = -16, 4*i + 5*a = -4 + 10. Let u be s(i). Suppose -u*y + 35*y = -190. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((1*sqrt(693) - sqrt(693)) + sqrt(693))*2*-2)\/((sqrt(1408)*-5)\/sqrt(2)))**2.\nAnswer: 567\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyg when three letters picked without replacement from npcgpgnypgpnnpg?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 + 2*q**4 + 0*q**4 - 2*q**4 + q**4 + 2*q**3 - 2*q**4 - 2*q**3 + (-3*q**2 + 0 + 0)*(0*q**2 + 0*q**2 + q**2).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266\/229 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 396945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/25)\/(9\/(-15)). Let n = j + 1\/3. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k - k - 1 - k**2 + 6*k. Let v be b(0). Let i = -0.2 - -0.3. What is the nearest to v in -5, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.86 + 0.8. Let r = 0.955 - 1.955. Which is the nearest to 0? (a) 2\/7 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i - 17. Let l be k(6). Suppose 5*p - l = -1. Solve -4*z + 8 = -p*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**4)\/(h\/h**(-3)*h)*h**2*h**0)\/((h**(-2)*h**5)\/(h**(-1\/2)\/h**3)) assuming h is positive.\nAnswer: h**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1075\/(-645)*18\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 7)*(4*z**2 + 0*z**2 + 0*z**2) to w + t*z + o*z**2 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8214 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 818592, 1637163, 2455734?\nAnswer: 3274305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.08 (b) -21 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fufu when four letters picked without replacement from {f: 6, b: 3, i: 2, u: 8}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 125.1 and -0.0295.\nAnswer: -3.69045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 1 + 2*f**3 - 3*f**2 - 2 - f**3 + 0*f**3. Let u be m(2). Suppose u + 4 = 5*z. Solve 4*t + z + 7 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7690 and 164685964.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/160 - 15*d**4\/2 + 3600*d**3 - 3*d**2 + 177*d. Factor l(q).\nAnswer: 3*(q - 240)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 460075*l**2 + 121435?\nAnswer: 920150*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 6*o + 10 = 0. Let f(q) = 899*q**2 - 4*q + 4. What is the tens digit of f(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from {f: 1, c: 4, t: 8, p: 2}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 41 - d + 1\/2*d**3 + 0*d**2. Give j(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*z + 2*z - 16, -4*f + z + 17 = 0. Suppose 5*l = 4*n + 1 + 11, 0 = -2*l + n + 6. Let x(h) = 25*h - 96. Let j be x(l). Is j bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 + 14*x + 10. Let m be z(13). Suppose i = -10*i + m. What is the greatest common divisor of i and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 3\/4 (c) 1\/4 (d) 2\/7 (e) 1150\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 6*i + j + 5, 41*i - 381 = 20*i - 24*i - 7*j for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57772027 divided by -3040633?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(495) - sqrt(495)*-2 - sqrt(495))\/sqrt(9))\/(2*sqrt(99))*2.\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, p: 4, g: 2}. Give prob of picking 2 b, 1 p, and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.89943 years to millennia.\nAnswer: 0.07089943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3807.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36781 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-1)*((-532)\/49)\/(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -c + 17, 0 = -c + 3*c - 2*l - 14. Let r(w) = -3*w**2 - c*w + 9*w. Let x(p) = -1. Let m(a) = a + 2. Let n(j) = 2*m(j) + 4*x(j). What is n(r(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -q - 0 - 21, -h - 4*q + 1 = 0. Let b(o) = 21 - 9 - h*o - 12. Let s(p) = 2*p**2. Calculate s(b(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9*l + 23*l - 1 in the form q + h*l and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(-7\/3)*h)\/h**(8\/7)*h**(-2\/21)*h**(-2\/35)\/h*h assuming h is positive.\nAnswer: h**(529\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 962 and 2.\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87429 - -87432. Let y = 5 - 0. Sort -12, g, y, -4 in increasing order.\nAnswer: -12, -4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2114664 and 6936.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -8*h + z - 5, 0 = 4*z - 12. Which is the nearest to 3? (a) h (b) 0.26 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.87269 minus 5048890.1?\nAnswer: -5048954.97269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**3 + 4*l**2 - 7*l + 3. Let v(f) = -7*f**3 + 5*f**2 - 7*f + 4. Calculate 3*q(c) - 2*v(c).\nAnswer: -4*c**3 + 2*c**2 - 7*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 - c**2 - 3*c + 5. Suppose 132*i + 336 - 67 - 5 = 0. Let x(w) = 2*w**3 - w**2 - 4*w + 5. Calculate i*x(d) + 3*f(d).\nAnswer: 2*d**3 - d**2 - d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:18 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 637\/21*(-3)\/(-2)*2. Let p = -30 + o. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109.7 - -9. Let x = p - 119. What is the nearest to -2\/7 in 0.06, x, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2632927 or 2632925?\nAnswer: 2632925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 700 = -3*r. Let q be r\/63 + (-2)\/9. Suppose z + 0*z + 2*i = 10, -10 = 2*z - q*i. Which is smaller: -2\/15 or z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 7921?\nAnswer: 7918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-456)\/(-252))\/19)\/((40\/18)\/5).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:33 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 811.900825 to 0 dps.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 90013.\nAnswer: -4\/90013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237.577481 nanoseconds in weeks?\nAnswer: 0.0000000000020462590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Suppose 3*g + 5*b - 1229 = 3415, 15 = -h*b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 24470?\nAnswer: -24465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -492 - -501. Let h be -1 + (-140)\/69 + p\/3. What is the nearest to -0.1 in 0, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 28. Let l = i - 1. Let h = -84 - -116. Calculate the greatest common divisor of h and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grgg when four letters picked without replacement from {r: 5, g: 3, n: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17664.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522219 + 8773 = 154*t. What is the highest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.5 (c) 0.04 (d) 1507 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129862 and 9164.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17323727, 17323728, 17323729, 17323730, 17323731?\n\"Answer: j + 17323726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -8, -12, -16, -20, -24?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 100\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 4*y - 50. Let o = 44 + y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 + 2 = 0. Suppose -8 = 2*p, i - 51 = -f*p + p. Suppose -c + 51 = 2*y, 2*y - 7*c + 4*c = i. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 30. Let t = 11 + m. Suppose -3*l + 2*l + t = 0. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-3*6)\/sqrt(11)*1.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2*u**6\/3 - 4*u**5\/5 - 6*u**4 + 14. Let h(i) = 0. Calculate i.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 997679821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + v**5 + v**5 - v**5 + v**3 - v**3 + (0*v - 5*v + 3*v)*(v**2 - v**2 + 2*v**4) - 879*v**5 + 497*v**2 + 878*v**5 + 889*v**2.\nAnswer: -8*v**5 + 1386*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(-15)*t**(-10)*((t\/t**(-21\/4))\/t)\/t assuming t is positive.\nAnswer: t**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/108012 and 37\/108.\nAnswer: 972108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.3007l in millilitres?\nAnswer: 114300.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 8. Let f(u) be the first derivative of -u**2\/2 + u - 14. Let n(a) = 4*f(a) + h(a). Let w(p) = p + 1. Calculate n(t) + 5*w(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -6 - -7) + -6 - (-6 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**(-29)*(k\/(k\/k**(-3)*k))\/(k\/(k\/k**(4\/5))) assuming k is positive.\nAnswer: k**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02417 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -11*n**4\/6 - 4*n + 314. Let j(x) = 4*x + 3. Determine c(j(s)).\nAnswer: -352*s**2 - 528*s - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 89 = 4*q, -5*q + f = -32 + 129. Let t be (144\/(-15))\/(-4)*(-50)\/q. Solve -4*s + t - 31 = -3*j, -2*j + 18 = -3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let j(l) = -15*l - 4. Let z(x) = 16*x + 5. Let n(h) = -5*j(h) - 4*z(h). Give s(n(q)).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -17. Let p be (-196)\/s - (-1 + 3). What are the prime factors of 65 - (p\/4 - -2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2310 and 520440.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45604, 45606, 45608?\nAnswer: 45610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9633)\/228 - -38)\/(((-28)\/(-48))\/(-7))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 - 30 = 3*z, 5*c + 4*z - 10 = 0. Let d = c - 3. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (282\/(-188))\/(3*4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -571*m + 1104*m - 535*m + 71 as o*m + w and give w.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u - 145 = -894 - 68 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {m: 1, l: 4, a: 5, t: 5, w: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d**2 - d. Let t = 10 + -11. Let s = t - -2. What is the units digit of n(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -385438*x**2 - 375445?\nAnswer: -770876*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-5)\/203 + 1403\/(-9821)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97273 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 4*t - 5. Let r be m(-5). Suppose y + 2*v + 5 = r, -4*v + 2 = 18. Suppose -4*g + 56 = 2*l, -5*g + 106 = y*l + l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z - 13*k + k + 50 = -30*z, 3*k = 2*z + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqhqkqqy. Give prob of picking 1 q, 1 k, and 2 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:41 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -345, -691, -1037, -1383?\n\"Answer: -346*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 - q**2 - q**2 + 65230387 - 2522*q**2 - 65230387 + (3*q - 6*q + 5*q)*(0 - q + 0) in the form s + i*q + p*q**2 and give p.\nAnswer: -2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/(-54) + 1\/(-2). Let z = 0.053 - 0.353. What is the third biggest value in 6, 3, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -7*u**2\/2 - 15. Let q(m) = -14*m - 5831574 + 5831574. Calculate q(k(l)).\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.52, -7, -3\/5?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:38 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*a = 4*a - 60, 0 = 4*f + 5*a - 218. Calculate the remainder when f is divided by (6\/(18\/5))\/(140\/756).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/24 - (-6)\/4. Let d be r + 12\/5 + -2*1. Let s = -153\/395 + d. Are -1 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 + 0*g**2 + 2*g + g**2 - 4*g. Suppose -3*h + 20 = 2*h. What are the prime factors of f(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n - 10*n + 8 - 11. Let t be d(-1). Suppose -2*g + 214 = -7*p + 4*p, 0 = -g + t*p + 112. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 315000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 331 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 11. Let j(m) = m - 5. Suppose 7*z = 2*z - 325. Let a be z\/9 - (-2)\/9. Let r(q) = a*j(q) - 3*t(q). Calculate r(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 5*i - 4. Let v = 340 + -336. Let y be -5 + (v - (4 + (-5)\/5)). What is w(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x**6\/15 - 5*x**2\/2 + 19*x. Differentiate k(l) wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -158*g - 998*g - 1521*g + 3 - 39*g. Is a(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = 5*i - 589. Suppose 34*y = -972 + 2060. What is the highest common factor of y and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*f**3*w - 35*f**2*w - 142*f*w + 5*f + w - 8 wrt f.\nAnswer: -1038*f*w - 70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 + -116 - -69)\/(3 - 740\/248)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 6. Let b be t(0). Suppose b*a = 188 + 112. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14888.\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + u = -p + 15, 3*p = 5*u - 10. Solve p*g = 3*d - 3 + 34, -5*d = -3*g + 25 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 190, 277, 386, 523?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 31*s + 0*s**2 + 0*s**3 + 0 + 1\/12*s**4. Let i(y) = -109*y**2 - y. What is q(i(l))?\nAnswer: 11881*l**4 + 218*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from hkthknnssnknnis?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((sqrt(1331) + 0 + sqrt(1331))**2 + 1) - ((sqrt(132)\/sqrt(3))**2 + 4 + (((1*sqrt(66) + sqrt(66))*6)\/sqrt(6))**2).\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-13))**(-26))**(-43) assuming t is positive.\nAnswer: t**15652","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 20*u + 336. Let b(j) = -18*j**3 - 3*j - 2. Let g be b(-2). Suppose 0 = -u*k + 11*k + g. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3133 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 - 2*r - 1. Let c be w(-4). Let u = 186 + -179. Is c <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 - 35952*k - 107712192 = 0. Calculate k.\nAnswer: -5992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-one fifths of a millimeter?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029*q - 250*q = -69*q + 12720 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -1. Is 0.1 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624511 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(4\/10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-three quarters of a hour?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101.3 - -99. Round h to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 1222927615971?\nAnswer: -1222927615970.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11757233.\nAnswer: 1\/11757233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152717*d**2*g**2*k**2 - 2*d**2*k**2 - 3*d*g**2*k**2 - d*g**2 + d*k**2 - 1452*g**2*k**2 wrt d?\nAnswer: 305434*g**2*k**2 - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:59 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) 1\/13 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 4*h**2 + 0*h**2 + (-2*h - 3 + 3)*(-h - 9 + 9))*((2 - 1 + 1)*(3*h - 4*h - 3*h) - 3*h + 10*h - 3*h).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(182\/(-154)) + (2 - 2887). Sort -0.3, f, -3\/5 in descending order.\nAnswer: -0.3, -3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7*s = 5*s - 12, -3*s - 14 = 2*k. Let f be k\/(-2) + 85\/10. Solve -19 = 2*r - 3*p, -2*r - 3*p = r - f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 6, -2.3, 2.1, 2\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 719, 2848, 6385, 11330?\n\"Answer: 704*s**2 + 17*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-112)\/76) + -3. Let l = 179 - 180. What is the closest to 6 in z, l, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 586, 1618, 2650, 3682, 4714?\nAnswer: 5746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 402261905624 from 1298.\nAnswer: -402261904326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 225330 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17 - 48*n**4 + 14*n - 11*n + 18 wrt n.\nAnswer: -576*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1827, 0.1, 9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-380)\/(-350) + -4*(-4)\/(-56). Factor 0*o + p*o**3 + 2\/5*o**2 + 0 + 2\/5*o**4.\nAnswer: 2*o**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -30618?\nAnswer: -30623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 48 = 3*s, -s - 3*u + 39 = 15. Calculate the smallest common multiple of 1*(s + 2) + 1 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 34 = -31. Suppose 24*c + 36 - 948 = 0. Calculate the remainder when c is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -25*k + 331. Solve -65 = k*a - 38 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*f = 78. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 32 = -40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (28 - 21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/5 + n**4\/2 + 12*n. Find the third derivative of q(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 1, -23, -67, -137, -239, -379?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u - 97*u + 117 = -40*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.6 - 4.6. Sort l, -15, -0.1, 36 in decreasing order.\nAnswer: 36, l, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 5*i + 3*i)*(-2*i - 4 + 4) + (-2 - 2 + 2)*(2*i**2 + 3*i**2 - 3*i**2) - i**2 + 2*i**2 + i**2 - 2 - 2*i**2 + 2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14.7, 41, -372.4, -1\/8?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 10*h**2 - 10*h - 10. Let d be y(11). Let s be (d + -2)\/((-3)\/12). Suppose 4*u = 3*u - s. Which is the nearest to 0? (a) 0 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*n - 56. Let i = -17 + n. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 89, 75, 55?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 141?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -2, -2\/3, 0.4, -2127 in decreasing order.\nAnswer: 5, 0.4, -2\/3, -2, -6, -2127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 156941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by (183\/854 + (-90)\/28)\/(3\/(-118)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34573 and 28791.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61192 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 20 (c) 2.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -784*a + 190*a - 704*a to the form i + h*a and give h.\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 + -3.98. Let m = f + 1.9. Let u = m + -7.72. What is u rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.8. Let x = 1.48 - 1.53. What is the second smallest value in q, x, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 421 and 2.441921696535.\nAnswer: 423.441921696535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -738 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -78, -2, -1 in increasing order.\nAnswer: -78, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 207935571600*f**2 + 207935571600*f**2.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.6. Let d = y - 0.2. Let q be (1 - 6\/4)*24\/(-12). Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 4, 0.51, -2, 199 in decreasing order.\nAnswer: 199, 4, 0.51, -0.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + 8. Let l = -0.4 + a. Let r = l + -11. What is the smallest value in 4, -2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2921381 + -7143481. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 944 = 3242. Let t = -144 + p. Suppose -7*z = 223 - t. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((105\/(-28))\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*w - 16, 0 = 6*l - 2*l - 4*w - 12. Find the second derivative of -3*a**5 + 10*a - 5*a**5 - 7*a**l - 7*a**5 wrt a.\nAnswer: -440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 171*r**2 - 342*r - 114. Let h(m) = m**2 - 3*m - 1. Determine -114*h(a) + u(a).\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5000212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -453170*m**2 - 935911*m.\nAnswer: -906340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591663433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 295012, -7, 1, -2\/19, -2 in decreasing order.\nAnswer: 295012, 3, 1, -2\/19, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -248, -372, -496?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 51. Let w be a(12). Suppose -t = 4*i - 0*t + 18, 0 = -5*i - 5*t - w. What are the prime factors of 2028\/20 + 2\/i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z + 183. Determine d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12 + 8 - 0 - (-634)\/104 and -73\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*i**2*k**3 + i**2*r - 17*i*k**3*r + 2*i*k**3 + k*r**2 - 2 wrt r.\nAnswer: i**2 - 17*i*k**3 + 2*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16057387 plus 8?\nAnswer: -16057379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1537 + 2?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**2*h**2 + 2*c**2*h + 126*c**2 + 3*c*h - 8*c - 35*h**2 wrt c.\nAnswer: 14*h**2 + 4*h + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1057 - 1065) + 19 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)\/b**2*b**(2\/17)*(b*b**8)\/b assuming b is positive.\nAnswer: b**(554\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -60*o - 490. Determine r(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -948 * -42.079\nAnswer: 39890.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 + 8*j)*(2 - 2 - j) - j**2 + 2*j**2 - 2*j**2 + (-j - 2*j + 0*j)*(-2*j + 0*j + 3*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25473319 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 640 - -7. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 - 5*i + 8. Let x(a) = -2*a**2 - 6*a + 8. Let w(d) = 3*m(d) - 4*x(d). Let g be w(7). Suppose -g*h - 31 = -7*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 19*c**2 + c + 2*c in the form w*c + i*c**2 + m and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.174 and 4.8?\nAnswer: 29.6352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26240729, 26240732, 26240735, 26240738, 26240741?\n\"Answer: 3*a + 26240726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m + 957 - 2057. Solve -84 = -4*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180\/31 + 1337\/620. Calculate the common denominator of 117\/14 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/20 + b**4\/12 - b**3\/6 - b**2\/2 + 4*b. Let t be l(-1). Put t, 3, 5 in descending order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 167. Let s be (2\/(-8))\/(l\/16)*0. Let c be (-2)\/7 + 69\/21. Solve 4*x + 12 = c*t, s = -2*t + 4*t + 2*x + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 - 3*h - 2. Let r(i) = i**3 - 5*i**2 + 2. Let o be r(5). Suppose 0 = -o*a + 3*q + 8, 0*q - 16 = 4*q. Is 20 a factor of d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o = -201*o + 77*o + 408. Solve o*m + 4 = 0, -m - 157 + 155 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/1629766 and 9\/8.\nAnswer: 6519064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -6*n**3\/13 + 148*n**2\/13 - 960*n\/13 + 576\/13 = 0.\nAnswer: 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 + 217. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113553172 and 28744?\nAnswer: 227106344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1661295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -55. Suppose -15 = -2*x + w. Let l = 34 - x. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teyeytexeeyttyeeye. What is prob of sequence ty?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/12*(-280)\/(-30). Solve -25 = 5*m, q + h = -3*q - 3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 5*t - 3. Let m be v(3). Let a = -11 - -8. Sort 1, m, a.\nAnswer: a, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by -6*((-54)\/12)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q + 8*q - 7*q)*(q**2 - 2*q + 2*q) + 106*q**2 - 57817*q + q**3 + 57817*q as w*q + m*q**2 + f*q**3 + z and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-51)\/2) + 31793250\/1275. Does 5 divide j\/48 + (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1111136 - 2?\nAnswer: 1111134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 3*t**2 - 5*t**2)*(t**3 - 3*t**3 - 15 + 29).\nAnswer: 4*t**5 - 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = 5*y - 18, 20 = 5*y - 5*p. Suppose 0 = 4*s - 2*j, y*s - j + 4 = 2*j. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163810 and 1685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 3, g: 9}. Give prob of picking 4 g.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-11) - (-4)\/22. Let g(b) = b**3 - b. Let m(q) = -3*q**3 + 6*q**2 - 3*q - 7. Let k(j) = s*m(j) + 2*g(j). Let o be 4\/10 - (-23)\/5. What is k(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 times -6\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/6*63\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose 2*i - l = i. Solve -i*v + 6 = u, -u = u - 4*v + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/(-54) - (1 + 0). Let x(p) = -3*p**2 - 3*p - 1. Let l be x(-2). Let j be -2 + (-8)\/l + 1. Which is the smallest value? (a) 2\/9 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12761673*r**2 - 4587591*r wrt r?\nAnswer: -25523346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.41 and 1.38.\nAnswer: 0.5658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-30)\/(-1080))\/(-3 - 28\/(-12)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 5*l = 21, -7*x + 2*l - 12 = -11*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 2, 1\/8, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 483*c + 8*c**2 - 3 + 1 - 697*c + (-3*c + 6*c - 4*c)*(0*c - 2*c + 0*c) in the form r + q*c + j*c**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/11 and (-4)\/(-22) + 4084\/(-440).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.7 (b) -67.5 (c) -5 (d) -1\/5 (e) 18\/13 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36744671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/24 - 140*q + 133. Let j(n) be the first derivative of v(n). Let j(p) = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = 15*r - 20808. What is the greatest common factor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 4*z - 11*z - 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:35 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/10933 + 100892\/76531. Is 0 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6795, -6769, -6743?\n\"Answer: 26*w - 6821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 455, 932, 1435, 1976, 2567, 3220, 3947, 4760?\n\"Answer: 2*a**3 + a**2 + 460*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4583 + 8342 = -5*m, -2*c - 5*m - 5155 = 0. Let j be c\/235 + 5 - -6. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -304, 8 in decreasing order.\nAnswer: 8, 2, 1, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*n + 70*n + 117*n + 75*n - 348*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-13 - 4 - 14)*(-3*a + a + 3*a) + 14 + 86*a - 176*a + 91*a)*(2*a**4 - 3*a**4 + 0*a**4).\nAnswer: 30*a**5 - 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477238.\nAnswer: 2, 7, 105517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 858736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 17*u**2. Let o(h) be the first derivative of 3*h**2\/2 - h - 30. Let d(m) = -5*m + 3. Let p(i) = -d(i) - 3*o(i). What is p(w(s))?\nAnswer: -68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/(6\/(0 - -3)). Suppose 0 = -6*m - t - 0. Solve m = 3*w - 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20254 and 4264?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 421470943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.371679 millilitres?\nAnswer: 0.003371679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152303 - 2?\nAnswer: -152305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -38. Suppose 0 = -b*j - j + 6*j. Suppose -2*i + j*i + 5*y + 31 = 0, -y = -1. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.543 and -21345393.03.\nAnswer: -21345363.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Let h be (2 + 1 - 1)\/1. Let a(g) = -g**2 - 6*g - 6. Let c(p) = -p + 2*p + 0*p + 1. Let k(r) = -a(r) - 6*c(r). Determine h*j(u) + 3*k(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n)**(-48)*((((n*(((n**(2\/31)*n)\/n)\/n)\/n)\/n)\/n*n*n)\/n)\/(n**7*n*n))\/(n**(-2\/9)*n*((n*n**(-6)\/n)\/n*n)\/n*n*(n**2)**3) assuming n is positive.\nAnswer: n**(10124\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 7*v - 15. Let f be m(8). Calculate the remainder when f - -4 - 24\/(-2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8*p + 1110 = 0. Is -1 - (-4 + p + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*v - 238*v - 288*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74.85 - 75. Let t be (((-15)\/(-36))\/5)\/((-6)\/(-16)). Which is the third biggest value? (a) t (b) -2\/7 (c) u (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2246907, 8987634, 20222177, 35950536?\n\"Answer: 2246908*v**2 + 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 - 6*i + 10. Let t(f) = 8*f**3 + f**2. Let p be t(-1). Let h be k(p). Put 15, h, 4 in ascending order.\nAnswer: h, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -97*f - 394. What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(9\/7)*q*q\/((q\/(q*q*q**4*q*q))\/q)*q**7*q**(-8\/3)*q**7\/q*(q\/(q\/q**(-2\/5)))\/(q\/(q**(2\/11)*q)) assuming q is positive.\nAnswer: q**(91447\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1035*-0.08\nAnswer: -82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15\/8*d**4 - 81*d**2 - 84*d - 87\/4*d**3 + 48 = 0. What is d?\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872))**2 + sqrt(1872) + 2.\nAnswer: -36*sqrt(13) + 1878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 9913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 16 + 3*r**3 - 15 - 2*r**3 - 2*r**2. Let j(d) = -2*d - 1. Let n be j(-5). Suppose -n*b = -10*b + 1. What is k(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 2020?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 14*g = -18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11876623 and 109336?\nAnswer: 95012984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5713, -24952, -57023, -101926, -159661, -230228?\nAnswer: -313627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 + 6*k + 6. Let p(t) = 13*t**2 + 11*t + 11. Let o(u) = 6*p(u) - 11*s(u). Let r(w) = -2*w. Give o(r(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 - 416 = -7*h. Suppose h*s - 5*s = 8. What is n in 1\/7*n**s + 1\/7*n - 1\/7 - 1\/7*n**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -3*w**4\/4 - 4*w**3 - 15*w**2\/2 - 6*w + 15. Determine h so that y(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-3)\/(12\/28). Put 1, 19, b, 4 in ascending order.\nAnswer: b, 1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-172)\/(-36) + 4\/18. Suppose u - 2 + 3 = 0, -599 = -a*h + 4*u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/3)\/((767\/91650)\/59). What is c rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4 + 9*s + 3*s + 2*s**2 + 9*s**2 - 4268*s**3 + 4209*s**3 wrt s?\nAnswer: -24*s - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65783 and 1256?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -w. Let f(z) = 4*z**2 + 4*z + 2. Let m(h) = 5*h**2 + 5*h + 3. Let r(a) = -6*f(a) + 5*m(a). Is r(w) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2102222?\nAnswer: 2110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 13*q - 20. Let b be f(8). Suppose -5*u + 280 = -b. Calculate the highest common factor of 30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:57 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/3 - 26*a\/3 + 9 = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 6060640161?\nAnswer: 6060640165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 5*i**2 + 4*i + 3. Let r be n(-3). Suppose 3*x = -r*x - 15. What is the hundreds digit of ((-3 - -276) + x)*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -170*l**5\/9 - 356*l**4\/3 - 2320*l**3\/9 - 1888*l**2\/9 - 32*l + 64\/9 = 0.\nAnswer: -2, -2\/5, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bypp when four letters picked without replacement from bpbpbyd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -467615 and -0.1?\nAnswer: 467614.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 220 = 348. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36\/112*(-6)\/216*-6*-2\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 18 - 14 - 8*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1684 smaller than -1681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*t - 33, -17*t = 2*u + 166 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = -138. Let f = q + 212. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -149*q**2 + 13*q + 5. Let n(l) = 224*l**2 - 20*l - 7. Let u(x) = 7*g(x) + 5*n(x). Find the second derivative of u(f) wrt f.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/(-196)*(-8)\/(-15)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 3, -1, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0*c - 4\/3*c**3 + 1\/24*c**4 + 3\/2*c**2 + 2. Let z(r) be the second derivative of x(r). Calculate z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**17\/(o\/(o*o**(-1\/4))) assuming o is positive.\nAnswer: o**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59746690 is divided by 140912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24641?\nAnswer: 41, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 19. Let z be p(11). Let i(q) = -10*q**2 + 3*q**3 - 9*q + 11 - 3*q**3 - q**z. What is the remainder when 43 is divided by i(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2. Let v(z) be the first derivative of 4*z**2 + 7. Calculate t(v(n)).\nAnswer: -384*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52112 - 91878 = -5*f + g, 4*f + 3*g - 115192 = 0. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*f + 2 = 8, -3*y + 2*f = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 3:55 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82707.61 millimeters in micrometers?\nAnswer: 82707610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**0*z*z)**(-9\/10)\/((z\/(z**(-9)*z))\/z*z**(4\/13)))**(4\/5) assuming z is positive.\nAnswer: z**(-3096\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1070, -1029, -984, -935?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13\/2 (b) -4 (c) -3\/8 (d) -2\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -201010112201120 (base 3) to base 5\nAnswer: -10100322122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 168, 0, -734 in decreasing order.\nAnswer: 168, 65, 0, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213\/4 - -54. Let y = -8969 - -8968. What is the closest to -5 in y, -0.2, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/4, 1, -2\/3, -1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 42. Let r be n(-14). Let x be 42\/30*8\/r. Which is the biggest value? (a) 1\/5 (b) 0.1 (c) -1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -4, -3\/5, -306?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -111*d**2 + 557*d + 5. Let j be n(5). Solve -j*g + 974 - 899 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601413147 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**2. Let i(v) = -39*v**2. Give u(i(c)).\nAnswer: 10647*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-26) + 8 + -1*5.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 2. Let a be u(-5). Sort a, 0.2, -2\/5 in descending order.\nAnswer: a, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 4*c + 1196. Let b = c - -334. Solve 4*h = 3*h + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 1. Let z(v) = 15*v**2 - v + 2. Determine 3*m(g) - z(g).\nAnswer: -18*g**2 + g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 7*m**2 - 3*m + m - m**3 + 2 + 5. What is the units digit of g(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(sqrt(133) - (sqrt(133)*1 - sqrt(133)))\/sqrt(7).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(55\/(-6)) - 2. Which is greater: d or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433875982?\nAnswer: 2, 19, 191, 59779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/7, -0.3, 5 in decreasing order.\nAnswer: 5, 0.4, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojjjjo. What is prob of sequence ooj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**2 - 20*j**2 - 2 + 2*j + 9*j**2 - 4*j + j**3 to z*j**3 + w + p*j**2 + v*j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 25 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m**3 + 1\/6*m**4 + 2 - 3*m + 0*m**2. Let r(v) be the first derivative of b(v). Let y(l) = -2*l**2. What is y(r(p))?\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(250))\/((sqrt(2) - sqrt(98)*4)*-3).\nAnswer: -40*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**3 + 27*l - 27*l + 2*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddee when four letters picked without replacement from {d: 5, e: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 11. Let z be 2\/(-19) - 560\/95 - -1. Let t(m) = -1. Give z*t(o) + b(o).\nAnswer: -2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177789 + 2144490919\/12062. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1192, -1194, -1198, -1204, -1212, -1222, -1234?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10433739.33ns in weeks?\nAnswer: 0.000000017251553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/56 + -4 - (-41 + (-10432)\/(-256)).\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/8 + 11*i**3\/2 - 18*i**2. Let f be d(-10). Suppose -78 = -2*r - f*a, 2*a + 2*a + 64 = 2*r. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 148\/(-10) - 12\/(-15). Let y = z + 20. Let h(a) = 3 + 2*a - 7 - 2. Let v(s) = -1. Give y*v(n) - h(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 4*t + 3*t + 47)*(-2*t + 0 - 1 - 9).\nAnswer: 2*t**2 - 150*t - 800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/15)\/((-2)\/(-3)). Is 17580\/10 + 5\/x 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 120994404 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -42, -121 in descending order.\nAnswer: -3, -42, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 596*n - 313*n - 300*n + 57*n**2 + (-4 - 2 + 4)*(2*n**2 + n**2 - 2*n**2) + n**2 + 5 - 5 + n**2 - n**2 - n**2.\nAnswer: 55*n**2 - 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 10*p - 14*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-100)*-10)\/(((-2)\/(-18))\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 5*v**2 + 2*v - 7. Let g(t) be the third derivative of -t**4\/24 - 5*t**3\/3 - 16*t**2. Let q be g(-5). Give s(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.906*0.4.\nAnswer: -17.9624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 16*b**2 - 47 - 12 + 97 - 17.\nAnswer: 16*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let g = -18 + 23. Let v(p) = p**3 - 4*p**2 - 7*p + 4. Let x be v(g). Give i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 308 (b) -41 (c) 2\/25 (d) -3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5793 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 47. Let r = -28.1 - p. Let j = -0.3 - r. What is j rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2353 - 3737. Let u be x\/16*(-1 + -1). Suppose -u - 335 = -4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -905 divided by -5\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -685 + 690. Solve 0 = 5*h - 5*d, 0*h = r*h - 2*d + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*r + 224 = 0, -2*r + r - 53 = -j. Let c = j + -42. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 45 = u, 4*m - 4*u - 27 = 33. Let z(w) = 4*w**2 + w + 2. Let b be z(2). What is the lowest common multiple of 40\/b*2\/1 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.2 + -7. Which is the nearest to 1\/3? (a) 0 (b) -1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 4\/15*q**5 + 0 - 1\/252*q**8 + 4\/45*q**6 + 0*q**4 + 0*q**3 + 0*q - 2\/315*q**7 - 97*q**2. Let c(m) = 0. Calculate m.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/120 - s**5\/12 - s**4\/6 - s**3\/2 + 3*s**2. Let h(n) = 6*n**3. Let i be h(1). What is the units digit of b(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-10 - -19) - (15 + 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 5*m + 2*m)*(0 - 5 + 4)*(-2 - 4 + 2)*((1 - 3 + 1)*(3 - 3 + 2) - 2 - 1 + 1 + 2 + 1 + 0).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 251*o = 246*o + 35, -12*b + 11*o = 77 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63159 = -1129*v - 578*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26 - ((-3600)\/(-1400))\/((-1529)\/(-392) - 4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446844901 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d + 335. Give u(-9).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 5*a - 2. Let y be u(-4). Suppose -2 = 2*i + 4*b, 3*b + 1 = -4*i - y*b. Let c be (-3 - -3) + i + -1. Solve -2 + c = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 + 7*g - 6. Let j be r(4). Let b = -36 - j. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 2889*l**2 - 562452*l - 1661436.\nAnswer: -3*(l + 3)*(l + 266)*(l + 694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274000019 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: Is 79 >= 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/15 and -92\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:33 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l - 12. Suppose -2*x = -5*x - 15. Let n = 16 + x. Is j(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 11*z + 21. Does 2 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*b - 14, b - 3 + 2 = 0. Let t(o) = o**3 + 6*o**2 + 3*o - 6. Determine t(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1798 and -1.\nAnswer: -2.1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (20 - 37) + 16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 5*s = 9*w + 445, 5*s = -2*w + 230. Let d be (-38)\/6 - 3\/(-9). Let z be (-537)\/d + (-1)\/(-2). What is the highest common factor of w and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173633100458 - 355.\nAnswer: -173633100813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, -2, 2, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5503, -21966, -49383, -87754, -137079, -197358?\n\"Answer: -5477*x**2 - 32*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, g: 1, n: 1, a: 2, v: 4, b: 4}. What is prob of picking 1 g, 1 n, and 1 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1336100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10602 and 1197?\nAnswer: 74214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 11. Let x(c) = -44*c + 3. Let p(s) = s. Let r(i) = -6*p(i) - x(i). Is r(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*w - 3052 = 560*w for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(240)\/sqrt(4))\/sqrt(4))\/(sqrt(300) - sqrt(300)*-2*4) + 3)**2.\nAnswer: sqrt(5)\/5 + 1621\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/189 and -32\/231.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 346008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urp when three letters picked without replacement from mrumrrrprmx?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002278893545 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*t - 94*t + 28 + 31)*(-43*t**4 - 13*t**4 - 4*t**4).\nAnswer: -180*t**5 - 3540*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 30*o**2 + 40*o - 267. What is y(31)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15893*k**3 - 2274*k - 2?\nAnswer: 95358*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:25 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 3*k = 7*q - 30, -6 = -3*k. What is the closest to -1\/2 in -1\/4, q, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186468870 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582279704 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: What is the nearest to -4 in 0.3, 3\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -20\/19, -2\/13, -5, 70 in descending order.\nAnswer: 70, 0.1, -2\/13, -20\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 - 3*p**2. Let x be y(2). Suppose -x = -2*b + 3*h, b - 34*h - 4 = -35*h. Calculate the least common multiple of 14 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n - 10*n - 3*n**3 - 3*n + 4*n**3.\nAnswer: n**3 - 29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Let r = x - 0.1. Let i = 1 + -1. Which is the nearest to -0.1? (a) r (b) 5\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 - 8*l + 16. Let p be u(5). Suppose 4*z + 6 + 14 = 0. Let r = p - z. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181339066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**4\/4 + 13*j**3\/3 - 2*j**2. What are the prime factors of t(-14)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6979 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/18*3)\/(20\/33520). Suppose -41*w = -37*w + 5*o - 1169, -p = -3*w + 4*o. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -0. Suppose 5*z - 2 = 3*d + 2, -w*d - 6 = -5*z. Calculate the highest common factor of 14 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + 74. Let m(n) = 555*n**3 - 6*n**2 + 5*n + 3. Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -681*u - 17. Let s(v) = -341*v - 10. Give -4*d(g) + 7*s(g).\nAnswer: 337*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4, -0.35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250381 = -397*y - 69349. Calculate the highest common divisor of y and 4636.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3169 (base 14) to base 10\nAnswer: 8521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -24 + 69 - 66*t + 57*t. Calculate the remainder when r(-12) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.039 * -0.7.\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**5\/5 - l**4\/12 + l**3\/6 - l**2\/2 + l. Let o be h(1). Let x = o - -52. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -8 (c) -1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 12*o - 14. What is f(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/35 + 2\/7. Let y = x + 7\/5. Suppose -8 = -4*a - 4*s - 0, 0 = -a + s. What is the closest to a in y, -0.1, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(405)*1 + -5 - sqrt(405) - (sqrt(405) + -1 + 0)))*2*-2*5)**2.\nAnswer: 14400*sqrt(5) + 163600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126522 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/238)\/((-3232)\/33936)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3927 and 4938857.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4 - 7. Let j = 18 + -18. Suppose 0 = -j*s - 2*s - 3*o + 29, -o - 5 = 0. Calculate the highest common divisor of s and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 48*j**2 + 54*j. Let i(u) = -7*u**2 - 8*u. Let p(s) = -4*f(s) - 27*i(s). Let z(t) = -t**2 + 49*t. Give p(z(w)).\nAnswer: -3*w**4 + 294*w**3 - 7203*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1590, -1580, -1570?\nAnswer: -1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*f**3 + 8*f - 8*f.\nAnswer: 1172*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 13*d**2 + 8*d**2 + (4*d - 2*d + 0*d)*(-4*d - 1 + 1).\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.8 times -0.256?\nAnswer: 36.3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68404603*p + 872272756.\nAnswer: -68404603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 3 (c) 0.4 (d) 3709 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0.4, 0.3, 0, 0.2 in decreasing order.\nAnswer: 0.4, 0.3, 0.2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34594 (base 11) to base 15.\nAnswer: ec05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let j = 5 + 12. Let g = j - 17.1. What is the second smallest value in g, 1, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x + 10. Let q be b(-5). Suppose -3*f + 40 = 4*n, -4*f - 3*n = -2*n - q. Calculate the highest common divisor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3*w - 40 + 34, 20 = -5*w + 5*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1830 - 1932.95. Let i = y + 96.361. Let p = i + 6.7. Round p to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/((-10)\/100)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94787.84 litres to millilitres.\nAnswer: 94787840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 8 = -26. Suppose 0 = 4*a - a + m*w - 1077, -3*w + 718 = 2*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**3 - 9*h**3 - 43 + 43.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-3) + 4\/6. Suppose -a + 60 = x*a. Suppose 0 = -2*u + 6*u - a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 27*b + 25*b + 21 - 44*b. Is s(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 14, x: 1}. Give prob of picking 1 x and 3 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/60 - u**5\/60 - 5*u**3\/6 - 7*u**2. Let s(y) = y**3 + y**2 + 3. Let r(q) = 9*s(q) + 4*x(q). Give r(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 + 2 = 0. Suppose 4*c + 6*w - 28 = 5*w, 2 = y*c - 4*w. Suppose 0 = -p + 3*u + 4, -p + u + 0 = -c. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/576110 and -11\/317?\nAnswer: 182626870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*s - 218. Let p = s - -84. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14640399.6551 - 19\nAnswer: 14640380.6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4) + -5 - -78. Let z = 552 - p. What is the highest common factor of z and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1369 times 32\nAnswer: -43808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735 and 1050?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -719, -1351, -1971, -2573, -3151?\nAnswer: -3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3821 at least -3812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.041 - 0.049. Which is the biggest value? (a) -2 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -38*3\/6*-1. Suppose z*x = 20*x - 489. Suppose -484 = -7*l + x. List the prime factors of l.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 + 220. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) -0.4 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -19, -31, -43?\n\"Answer: -12*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 9.6. Let g = -5.4 - o. Let w(k) = k**2 + k + 4. Let s be w(0). What is the second biggest value in s, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r - 40*r**2 + 5\/24*r**4 + 1\/6*r**3 - 1\/120*r**6 - 1\/60*r**5 + 0. What is y(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 4*n + 54, 4*n + 164 = -5*r + 295 - 213 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -17*n**3 + 9*n**2 + 9*n - 7. Let h be 12\/(-8)*(2 + 4). Let f(w) = 9*w**3 - 4*w**2 - 4*w + 3. Let x(k) = h*f(k) - 4*d(k). Differentiate x(i) wrt i.\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3242910124?\nAnswer: 2, 31, 26152501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6081 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-104\nAnswer: -83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -266, -285, -328, -407, -534, -721, -980, -1323?\n\"Answer: -2*a**3 - 5*a - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1856, 3695, 5534?\nAnswer: 7373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 21*h**4 - 1 - h - 14*h**4 + 23*h**4 to q*h**4 + r*h + g*h**2 + d*h**3 + b and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.77 - -5.5. Let s = -0.03 + j. What is the smallest value in 0.5, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2 - 0. Let h = 0 - l. Let y(i) = -i**3 + i - 1. Let d(m) = -m**3 - 2*m**2 - m + 1. Let x = 3 - 2. Calculate h*y(j) + x*d(j).\nAnswer: -2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*s**3 + 35*s**4 + 0*s**3 - 39*s**4 + (1570*s - 1570*s - 57*s**4)*(3 - 2 + 0) as i + l*s**4 + j*s + h*s**2 + n*s**3 and give l.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*w = -8, -2*n + w + 2 = -7. Let x be ((-2)\/n)\/(2\/(-20)). Solve -3*t + 3 = -r, -x*r + 2 + 0 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 39*q**2 - 2*q - 107. Let w be j(13). Let z = w - -10883. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8193563*a + 3090815 wrt a.\nAnswer: 8193563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 11*b + 3. Let c be h(-11). Suppose -15 = -3*d - 2*d, c*y + 12 = 4*d. Solve f + y*f = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(-2*sqrt(245)*1 - (sqrt(245) + 2*sqrt(245))*1) + -4)**2.\nAnswer: -98064 - 2240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 16*v - 18 = 0. Solve 3 = 3*s, -5*x + 12 = -2*x + v*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/((-1020)\/488832) - (-1)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 20. Suppose -6 = 4*i + 14. Let n be (2\/i)\/((-18)\/10). Which is the third biggest value? (a) z (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**6\/120 - s**5\/20 - s**4\/8 + 4*s**3\/3 - 1. Let g(k) be the third derivative of d(k). Determine c so that g(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-18 - (-3 + 27 - -75)) + -20.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13000 = -8*n - 2*n. Let k be 5 - (-7028)\/n - (-2)\/5. Let d = k + -953\/3575. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 17*g + 2\/3*g**3 + 0*g**2 + 0. Let f(u) = -12*u. Let m(x) = 4*f(x) + 11*r(x). Let v(c) = 4*c. Give m(v(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -907*s. Let q be 28\/21*(-186)\/(-4). Let t = q + -63. Is o(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-6) - 1\/(-2). Suppose 0 = -b - 1 - h. Is -4 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 372 + -374. Let n be k - (4 - -21)\/(-5). Solve h = a + 2, 2*h + 2*h = -n*a + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.54272, -1\/2, 18, 0.3?\nAnswer: 0.54272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.82 - -0.28. Let p = h - -7.4. Round p to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -470*b**2 + 23*b + 88. Let o(v) = 118*v**2 - 6*v - 23. Determine 23*o(m) + 6*y(m).\nAnswer: -106*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1076 and -1594.\nAnswer: -1715144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 11*u - 443. Calculate d(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 + 1 = 0, l + 47 = -4*o. Let t(v) = v**2 + 14*v + 26. Let c be t(o). Suppose -6 = 2*h, 5*h = c*i - 6*i + 581. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -12, -2 in decreasing order.\nAnswer: -0.8, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4334*n + 550 = -4361*n, 3*a - 3*n - 54 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 78, -5, 1812, 2 in descending order.\nAnswer: 1812, 78, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/6*(-30)\/25)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447402.\nAnswer: 2, 11, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1622 - -922. Let b = a - 1712. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 7*i + 9. Let z = 22 - 16. Let a be o(z). Suppose 4*m = -2*j + 56, -a*m - j + 44 = -0*j. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g - g)*(18 - 7 + 3).\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11352598*o - 22705059*o + 11352460*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -51) + 0 + (-2 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 1*(sqrt(275) + 1) + 1 + sqrt(275) + 1 + 4)**2*5.\nAnswer: 1200*sqrt(11) + 6220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rphrmhprprrhmhp. What is prob of sequence pppp?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -2*o - 84. Let r = 5 + 15. Suppose c - 11 - r = 0. Calculate the remainder when c is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 43 - 47 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 734 divide 20019047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3248, 11504, 25238, 44444, 69116, 99248, 134834, 175868?\nAnswer: 222344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 61 = -51. Let j(v) = 7*v + 1. Let x(m) = m**2 - 8*m + 4. Let z be x(8). Calculate the remainder when j(z) is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424100 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfh when three letters picked without replacement from {x: 2, f: 3, r: 1, h: 10}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/5)*g*g**(-3\/2)*g**5*g**(3\/2)\/g)\/((g*g*g*g**1*g)\/(g*g*g**(-2)*g*g*g*g))**(-21) assuming g is positive.\nAnswer: g**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 62643299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-913)\/66 + (-3)\/18 - (-14)\/154*142.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1217377 - 19652155\/129041962. What is the common denominator of r and -109\/14?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.92 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-21)*(-252)\/210?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 + -1)\/18)\/(8\/(-12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 24 - 7*o**2 + 3*o - 7 - 55 + 43. Determine f(-3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/3 (c) 731.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*v**3 - 159715*v**2 + 159715*v**2.\nAnswer: -471*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/90 + 2\/(-12))*5. Suppose 1 = d - 2. Sort x, -2, d in decreasing order.\nAnswer: d, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6869 + 200?\nAnswer: -6669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 661.3007 litres?\nAnswer: 661300.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 74 = 4*x, -5*n + 5*x + 24 + 106 = 0. What is the remainder when 192 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4100 (base 16) to base 2\nAnswer: -100000100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - d = 11466. Suppose 0 = 2*z - 4*i - 448, 4*z + 0*i - i = d. Calculate the remainder when z is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -422, -941, -1672, -2621, -3794, -5197, -6836?\n\"Answer: -v**3 - 97*v**2 - 15*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 57*g - 36. Let n be u(28). Let v = n + 8. Find the common denominator of (v - (-28)\/(-228))\/(6\/(-9)) and 33\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t + 21*t + 0*t - 6*t as r + b*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70190*v**2 + 32419*v**2 + 34540*v**2 + (-2*v + 5*v - v)*(-v - v + 3*v) + 0*v**2 + 2*v**2 - v**2.\nAnswer: -3228*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 4*h - 5 + 3 + 3 + (-3 + 3 + 2*h**2)*(h - 3*h + h) - 3*h**3 - h**3 + 5*h**3.\nAnswer: h**3 - 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 = 6*f - 76. What is the greatest common divisor of 352 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*a**2*f*h - 9*a**2*f*p**3 - a**2*f - 2*a*f*p - 154*a*h*p**2 - f*p**3 - 6*h wrt p?\nAnswer: -54*a**2*f*p - 308*a*h - 6*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 8*n**2 + 24*n - 2. What is g(10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6591966 and 9\/14603?\nAnswer: 112063422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1320 and 2728?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101100 - 111011101011000000?\nAnswer: -111011011110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43125\/4, 0, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 + b**2 - 19*b**2 - 6*b**2 - 2*b**2 + 3*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235 - 2591.3. Let v = q - -2651. Let j = v - -151. Round j to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 39*r**2 + 3905*r - 407. Determine a(-85).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009823 > 1009821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*r = -6, 29*x - 14 = 25*x - 3*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*b - 13*b - 933 - 6564 = -554 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 31592\/7 + 2\/(-14).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + h = -13, b - 22 = -4*b + 2*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8 - 14*l**2 + 7 + 2*l - 1 + 3. Determine q(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35a (base 12) to base 16\nAnswer: 1f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 10:45 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-2)*12820\/144225\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 23 = 2*y, 7 + 18 = 3*a - y. What is the remainder when 31 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 + 4 = 0. Let z(s) = s**3 - 3*s**2 + 3. Let m be z(3). Let i be c\/3 - (-2)\/m. Solve i*y + y = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 30140798*y. Let q(g) = -4*g**2. Determine j(q(o)).\nAnswer: -120563192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29 - 2*z**2 - 26*z + 20 + 91 with respect to z.\nAnswer: -4*z - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 444 + 4278 = 0. Let g = -205 + v. Solve -g = 3*u + u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 2061743.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 17206 = -11*i + 7*i, -43015 = -5*k + i. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-49))\/((-2)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86555 - 86550. Let o = 5 - 3. Let f = 3 - o. Solve 16 = d*s + f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -889678 - -9764511\/11. Let a = -1992 - n. Find the common denominator of a and -91\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -3*v. Let a(z) = -2*z - 7. Let u be a(v). Is u at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/19 + 98*c\/19 + 276\/19 = 0.\nAnswer: -46, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110101 (base 2) to base 10.\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 49*b + 75. Calculate the remainder when g(1) is divided by 121.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/(z\/z**8))))**(14\/9)\/(z**(-19))**(-1\/16) assuming z is positive.\nAnswer: z**(1397\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m + 2*m**2 + (-3*m + 7*m - 3*m)*(-m - 3*m + 2*m) + 0 + 0 - m**2 - 3*m**2 - 10*m**2 + 5*m**2 + (2*m + 2*m - 2*m)*(-2 + 2 + 3*m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/22*(-30)\/3*(-28)\/105. Sort 2, r, 0.2, 0.27, -0.5 in descending order.\nAnswer: 2, 0.27, 0.2, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is (-1 + 1 - -2 - (-82 - -154 - 80)) + -37?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 + 160.5. Let o = -29 + z. Let f = o - 130.000109. Round f to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1566 and 162.\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Let q be -13 + (2 - -6) + 10. Solve 0 = a*w + q*x - 28, -2*x + 10 = w - 0*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -11*2956*(-62)\/248?\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(24)*1)\/(sqrt(8) + sqrt(8) + (sqrt(8) - (1*sqrt(96))\/sqrt(12))) + 4.\nAnswer: -3*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-361)\/285 + 3\/5. Which is the nearest to -1? (a) n (b) -2\/51 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3515?\nAnswer: 3516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 59979?\nAnswer: 59979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 <= -138260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*n**2*o**2 - 12867*n**2 - 6*n*o**3 wrt o?\nAnswer: 36*n**2*o - 18*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 2 - 9 + 13 + 9 + o in the form a + p*o and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156024 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141002 is divided by 70490.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 119. Let y(b) = 6*b**3 - 12*b**2 - 5*b. Let o(u) = 3*u**3 - 6*u**2 - 2*u. Let w(v) = r*y(v) + 5*o(v). Determine f so that w(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 825.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-10) + (-4)\/10. Let c(n) = -5*n - 22*n**3 - 1 + 10*n**3 + 3*n**2 + 13*n**u. Determine c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4\/5)*v**(-4\/13))\/(((v**(-3)\/v)\/v)\/v)**(-1\/9))**(-22) assuming v is positive.\nAnswer: v**(-3542\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146 times 456460?\nAnswer: 66643.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Find t such that -t**3 - 3*t**4 - c*t**4 + 3*t**5 + 4*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-40))\/(7\/(-130)). Is -8 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + 2*p**5 - 2*p**5 + 2*p**4 + 0*p**4 + 0*p**4 + p**5 + (-4*p + p + 2 + p)*(-88*p**4 - 281*p**3 + 281*p**3).\nAnswer: 179*p**5 - 174*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 710 + 1314. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) - 11\/(-3). Let w = 6 - m. Is (w\/3)\/((-1)\/(-24)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*j + j. Let q(f) = -f**3 + 5*f**2 - 2*f - 2. What are the prime factors of q(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-203)\/(-35) - 1\/(-5). Let s = -6 + o. Solve y + s*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 261 - 233 - 118 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26540 is divided by 157.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1660 - 272*n**3 + n - n + 1661 - 682*n**3 as z*n + d*n**3 + g*n**2 + o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 60676*r**2 - 49*r. Let u(x) = 2529*x**2 - 2*x. Calculate 2*f(l) - 49*u(l).\nAnswer: -2569*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/197 (b) -22 (c) 2\/3 (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**3*h - 69*f**3 - 437*f**2*h + f**2 - f*h - 4*f + 14*h - 1084 wrt h.\nAnswer: -8*f**3 - 437*f**2 - f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, -72, 0, 7, -25, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 282189, 2257849, 7620425, 18063375, 35280157?\n\"Answer: 282243*u**3 - 41*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(72) + 0 + sqrt(72) + 1 + sqrt(72) + 1)**2)*-5.\nAnswer: -3265 - 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4567149.\nAnswer: 3, 507461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -212, -191, -154, -95, -8, 113, 274?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**3 - v**2 - 3*v + 2. Let n = -8895 + 8890. Let y(r) = -4*r**3 + r - 1. Give n*y(z) - 2*b(z).\nAnswer: 2*z**3 + 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + sqrt(2268)*-2)\/sqrt(9) - (sqrt(77) + (sqrt(77) - (sqrt(77)*-2 - sqrt(77) - sqrt(77)))*-4 - sqrt(77))\/sqrt(11).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 592 and 6752?\nAnswer: 249824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2991 and 364285854?\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, y: 2, s: 5, u: 1}. Give prob of picking 1 u, 2 y, and 1 d.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 4.96. Let t = -24.8 - -29.95. Let j = t + w. Do j and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -305 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 30*t**2 - 34*t - 35. Let h be j(12). Solve h = 16*n + 453 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z + 1. Let b = 39 + -39. Let y be g(b). Let m be 1\/9 - (-649)\/(-4950). Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -1\/26*y**4 - 2\/39*y**3 - 1\/130*y**5 - 8*y + 0 + 0*y**2. Find s, given that v(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12053?\nAnswer: 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 1\/21 (c) 6\/341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50873 from -1631.\nAnswer: 49242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1087477 smaller than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:24 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25 - 1) + -42 - -128) + -30.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30096 * 0.615\nAnswer: 18509.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -2. Is 1*(0 + 1) + r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -5, 1559, -7, -1, 2.\nAnswer: -7, -6, -5, -1, 1, 2, 1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwk when three letters picked without replacement from {s: 4, c: 4, w: 1, i: 2, k: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53577085 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768.8731 milliseconds in hours?\nAnswer: 0.00160246475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 398609 greater than or equal to 398609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117023*x - 118074*x + 59907 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfwffaawggffffffgf. Give prob of sequence fa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2 - 56*p - 3. Let j(r) = 16*r**2 - 113*r - 5. Let m(c) = 3*j(c) - 5*s(c). Let h(x) = -x. Calculate m(h(u)).\nAnswer: -2*u**2 + 59*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 798*x**6 + 138*x**6 + 116*x - 167*x**6 - 150*x**6 + 2*x**5 + 5*x**2 + 0*x**5 wrt x.\nAnswer: 74280*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -373.5 (b) -2 (c) -4 (d) -7 (e) 4 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(2\/17))*w\/w**(1\/2))\/(w**(-5\/4)\/w**(2\/19))*(w**(-2)\/w*w)**(-15)*(w\/((w*w**(-1\/4))\/w))**(-20\/11) assuming w is positive.\nAnswer: w**(436311\/14212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 6*b**2 + 4*b + 6. Let y(n) = 5*n + 7*n - 36*n**2 + 11 - 5*n + 25*n**2 - 4*n**3. Calculate 11*u(t) - 6*y(t).\nAnswer: 2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3506.5 (b) -32 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/30 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 13*s**2 - 6*s. Give u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 77182151.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -14*s + 7*s + 10*s. What is the units digit of a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26158 - 4.0247727.\nAnswer: -4.2863527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 6, e: 3, d: 1, v: 1}. Give prob of picking 3 e and 1 o.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*(4 - -5*7). Suppose m*i - 75 = -2*i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -14*m**2 - 1770*m + 1352. Calculate t(-127).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w**2 - 36*w + 15. Let i(v) = -v + 1. Let l(s) = -6*i(s) + p(s). Let c(g) be the first derivative of l(g). Find the first derivative of c(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3.7.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -1, -5, -20019?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 411050183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let g = 1 + o. Find the second derivative of 2*i**3 - i - 2*i**3 - g*i**3 wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 227 - 217 + 2*n)*(0*n - n - n).\nAnswer: 8*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5548e (base 16) in base 15?\nAnswer: -6d786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0 + 0*o**3 + 2\/7*o**5 - 4\/7*o**2 - 2\/7*o + 4\/7*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 94 = -2*f - 25, -109 = 2*f - 163*t + 160*t for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 + 4*k - 1. Let x be h(-3). Let t(f) be the third derivative of -1\/60*f**5 + 0*f + 0 + 1\/6*f**3 - 1\/6*f**4 - f**2. Calculate t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3018, 12062, 27134, 48234, 75362, 108518?\nAnswer: 147702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1233, -1564, -1895, -2226, -2557?\n\"Answer: -331*j - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22902 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 711*19.97\nAnswer: 14198.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -o - 83, o = -h - 0*o + 37. Suppose -b = 4*b - h. Suppose -b*q + 5*q + 138 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 32*d + 6. Let r be g(6). What is the greatest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 15. Suppose 4*o + 4*x = 20, -o = -0*o - i*x - 15. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r - 56 - 423 - 28 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891499766 to the power of 1\/4, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 884445, 1768889, 2653333?\nAnswer: 3537777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-2*x**3 + x**3 + 2*x**3) - 2*x**3 + x**3 + 0*x**3 + 4*x.\nAnswer: -2*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63595*n*x + 101117*x wrt n.\nAnswer: 63595*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*(1 - 4)\/(-6). Let i = q - -8. Let j = 21\/4 + -181\/36. Which is bigger: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556035?\nAnswer: 3, 5, 19, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 - (-3)\/15. Let l = -11799 - -46963\/4. Let n = -58 - l. What is the biggest value in o, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**5\/6 + 85*l**4\/3 + 1010*l**3\/3 + 3820*l**2\/3 + 6080*l\/3 + 3520\/3 = 0.\nAnswer: -4, -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = -6*y. Let i = y + 2. Calculate the least common multiple of i and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(5\/(-3) - -1). Let l = 44 - 24. Suppose -u + 16 = z*p - 5*p, -u = -4*p - l. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q*t**2*w + 1199*q*t*w**3 - 18*q*t*w + 216*t**2*w**3 - 4*t**2*w - 3*t wrt t?\nAnswer: -14*q*w + 432*w**3 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-1 + (-40528)\/(-2992).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 3*b**3 + 3*b**2 - 2*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*d**2 + 605*d**2 - 448*d**2.\nAnswer: -116*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 5*b**2 + 3*b - 3. Let o be k(3). Let v = 8 - o. Let f = v - -3. Let s(w) = -w**3 - 3*w**2 + 3*w - 1. Give s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64664?\nAnswer: 2, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12151.\nAnswer: 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 33*b. Suppose -175795 = -4*y - 5*d, 3*y + 2*d - 203455 + 71614 = 0. Let s(t) = -43945 - 4*t**2 + y. Calculate s(g(k)).\nAnswer: -4356*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 5*w - 4*n - 372, 5*n = -5*w - 955. Let r = -116 - w. Let g be -2 - (3\/5 - 48\/r). Sort -1, g, -3, 0 in decreasing order.\nAnswer: 0, -1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(2\/60) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3*((-32)\/12)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 + -1.9. Let v = -100\/3 + 34. What is the biggest value in 4, p, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {h: 1, x: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1051*l**4 - 17*l**2 + 3*l.\nAnswer: -25224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 117 + 61 + 56.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 284.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:46 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 8 + 8 + (0 + 0 - s)*(2*s + 2*s - 7*s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.7375 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.7 - -8. Let v be (1\/(-5))\/(244\/30). Let k = -195\/488 - v. Put k, -2, o in decreasing order.\nAnswer: o, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0143 times 0.3?\nAnswer: 0.00429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let g(t) = t - 1. Give 3*g(c) + w(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxgxxgwggggxiggggwg. What is prob of sequence gx?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 82021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-735))\/((-11)\/7)*1331\/(-11)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816401?\nAnswer: 816401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o + 827 = -22*o + 11. What is the remainder when 5709 is divided by o?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 c when three letters picked without replacement from ccccfccccjcccccc?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 9*y + 1. Let b be n(9). Let t(k) = -2*k**2 + k - 1. What is t(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*u = 39145, 3*f - 39149 = -66*u + 68*u. List the prime factors of f.\nAnswer: 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 141 = -24. Let r = l - -314. What is the remainder when r is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u*u*u*u*u\/(u*u\/(u\/(u\/((u**24\/u)\/u))*u))))\/u*u**(-24)\/u)\/(u\/(u**8*u))**(-13\/3))**33 assuming u is positive.\nAnswer: u**(-2794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -444, 1.9 in decreasing order.\nAnswer: 1.9, -0.1, -5, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose -r - 4 = -k. Let p = 289 + -1449\/5. Which is the second smallest value? (a) p (b) r (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (7 - 8)*(0 + -3) - -140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/3, -1, -0.5, 9\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -534563 + 160?\nAnswer: -534403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyuyuyfayuyuuyyuy. What is prob of picking 2 a and 1 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 12 - 26 - 4*t**2 + 15 + 22*t**4 in the form a*t**2 + k + v*t**3 + c*t + y*t**4 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let f(y) = -1. Let n(a) be the first derivative of -a**2 + 12*a + 9294. Determine z*n(v) + 6*f(v).\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 24*j**2 - 165*j + 5642. Calculate i(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-3)\/2 + (-2)\/(-4). Let k be (z\/8 + (-178)\/112)*-7. Let y be (-11)\/k - (-11)\/(-33). Sort 0.2, 1\/2, y, -3\/8.\nAnswer: y, -3\/8, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -5 - 1) + 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 248692187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**(2\/3)*j*j)\/j)**(25\/4) assuming j is positive.\nAnswer: j**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35\/(-28))\/((-1)\/144). Let o be (-2)\/(-8) - (-46)\/8. Suppose -h - t = -o*h. Calculate the greatest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-20) - 4 - -4. What is the third biggest value in 3\/2, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 + 820*k**4\/7 - 50912*k**3\/7 + 1153588*k**2\/7 - 9377054*k\/7 + 8273560\/7 = 0 for k.\nAnswer: 1, 23, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 702983 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 477 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62701166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2734)\/9)\/((-6)\/(-7)). Suppose 693 = 2*b + 3*u, 4*b - 2045 = 4*u - 609. Let q = b + v. Calculate the common denominator of 55\/3 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6172 + 5820 = 88*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 11*h**2 + 11*h - 6. Calculate w(8).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*h + 3*a, -2*h - 19 = h - 5*a. Put -4, h, 5 in increasing order.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*w**2 + 3*b**3*w - 4*b**3 + 3*b**2*w + 2*b - 2737*w**2 wrt b.\nAnswer: 6*b*w**2 + 18*b*w - 24*b + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1281.504873 to zero dps.\nAnswer: -1282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2*(7\/(-28))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/165)\/(2\/(-9)). Let c = 1 + 1. Put c, -0.4, l in decreasing order.\nAnswer: c, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632786478 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x - 25. Calculate the smallest common multiple of 3 and r(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.036ml to litres.\nAnswer: 0.163036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -639\/5 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 - -259. Let h = 62 - v. Let f = 12.45 + h. What is f rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81b68d (base 14) in base 5?\nAnswer: 2104404433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12513 = 33*i + 864. Solve -20 = -343*m + i*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krnvrbub. What is prob of sequence kbr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 24*g**2 + 24*g - 28. What is z(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 3*h + 7, 5*n = h + 21. Let r(b) be the second derivative of b**3 - 15*b**2 + 4*b. Let c be r(n). Solve c = i + 3*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706309800 rounded to the nearest 100000?\nAnswer: 706300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 215, 384, 553, 722?\n\"Answer: 169*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 4)\/((-8)\/(-24)). Suppose 5*w - 143 = x. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -1280\/73?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2358)\/(209\/33 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3666667?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 422 - 400. Calculate the lowest common multiple of 244 and o.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 177 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2225344 - 2225344.0924831. Let h = 0.1944784 + l. Let b = h + -0.102. Round b to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/10 - 6\/(-30). Let k(b) = 2*b - 5. Let r be k(g). Solve n - r = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*g - 3)*(-40*g - 43*g + 35*g) + g**2 + 3*g**2 - 2*g**2 to s*g + u + w*g**2 and give w.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-19)\/6156*-6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 - 1476 - 592 = 70*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*i + 18, i = 2*i + 5*s + 18. Let y be (-1)\/(-4) - i\/(-4). Suppose 4*x + y*c - 50 = 0, 2*x = -3*x + c + 59. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -0.3, 13, -94, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1115 + 83.1115. What is the closest to -0.1 in -1, 0.1, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 21*z**3 - 105*z**2 - 4*z - 4. Let q(s) = -16*s**3 + 105*s**2 + 3*s + 3. Let w(r) = -3*i(r) - 4*q(r). Suppose w(f) = 0. What is f?\nAnswer: 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1965.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1234840259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -302673.4145 to the nearest one hundred.\nAnswer: -302700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 2:33 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-15))\/((-3)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-60) - (-1)\/(-4). Let g = 0.02 + -0.22. Let j = 0.6 + g. What is the second smallest value in j, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 38*k + 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 935999\/66 - 14183. Find the common denominator of a and -119\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -23*t + 16*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*m + 21 = -4*m, 5*m + 20 = -5*c. Sort 4, c, 9, 1 in descending order.\nAnswer: 9, 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 4979*k**4\/12 + 2282*k**2 + 2684*k. Differentiate g(o) wrt o.\nAnswer: 9958*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + j + 1. Let p be b(0). Let m = -2 - -3. Let n = p - m. Solve -y - 3*y = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-240)\/(-8))\/10)\/((-57)\/2)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Suppose 86 = 3*u - 5*r, 4*u + 4*r = -x + 141. Let o = -16 + 96. What is the greatest common divisor of o and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12405377 by 5.\nAnswer: -12405377\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-216)\/69 + 1 - -2. Let a(i) be the first derivative of -i**4\/4 - 14*i**3\/3 + 8*i**2 + 15*i - 16. Let j be a(-15). Is g greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 10649865.\nAnswer: 21299730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 4*p - 96429194*p**2 - 2*p + 96428732*p**2 - p**3.\nAnswer: -p**3 - 462*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**3 + 4*b**2 - 12*b - 22917 with respect to b.\nAnswer: 15*b**2 + 8*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-15) + 3)*(2 + 1). Suppose 0*p = p. What is the units digit of -2 + 0 + p + s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155.81388 months to years.\nAnswer: 12.98449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9659772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -19, -2\/1475, 4\/15 in increasing order.\nAnswer: -19, -0.4, -2\/1475, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -37, 222, -3 in decreasing order.\nAnswer: 222, 8, 2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**4\/12 + 38*z**2. Let p(r) = -33*r**2. Calculate p(j(i)).\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*s**2 + 460707*a**3*s**3 + 2*a**3 + 47*a**2*s**3 - 78*a**2 - 62*a*s**3 wrt a?\nAnswer: -24*a*s**2 + 2764242*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {v: 1, y: 5, f: 3, u: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 58210389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43443 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -63*i + 5. Let g be q(-3). Let y be (-586)\/(-10) - (-2)\/5. Let a = g + y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 118*q - 1960. Calculate g(16).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 6 = -3*b, -33*b = -28*b + 5*q - 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + (7 - (0 - (-2 - 8)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 20. Suppose -a = 2*k + 4, -5*k + 4*k - 9 = g*a. Let z(u) = -2*u**2 - 3*u - 2. Determine z(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**2 + 4*f**2 - 6*f**2 - 4*f**2.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 2*j**2 - 5*j - 3. Suppose 401 = 4*f + 121. Let o = -73 + f. Calculate n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 - (-12 + 16). Put 0, v, 3, 5 in descending order.\nAnswer: 5, 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.093 and 0.0039?\nAnswer: 0.0237627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3, -0.1793?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6 - (-2)\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-6*sqrt(6)\/sqrt(3)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 213. Let s be u(-46). Let m(t) = -25*t + 24. Let l(z) = -9*z + 8. Let f(o) = s*l(o) - 6*m(o). Give f(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 112*j**2 + 86*j - 4818. What is u(56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 60. Let r(g) = 93*g. Calculate y(r(l)).\nAnswer: -186*l - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2 - 10*g + 162 with respect to g.\nAnswer: 2*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42\/11 - 568\/143. Let h = 0.5 - -2.8. Let j = 0.3 - h. What is the biggest value in 0.1, z, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2. Let f(w) = 223*w. Calculate v(f(y)).\nAnswer: -149187*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232*q - 241*q + 81 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3 - 675*f**2 - 2*f + 414 wrt f?\nAnswer: -12*f - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-1598))\/((180\/(-48))\/15)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -z + 23, 5*j + 7 + 30 = 4*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 7. Let j be g(7). Let m(f) = -7*f - 24. Let b be m(-4). Suppose 15 = -k + b*k. Solve -k*a + j*a + 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c + 42. Suppose -12*m = 7*m + 171. Calculate x(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 23*j + 117. Let u be s(-7). Solve 2*o - u*m - 6 = 0, 4*o - 223*m + 220*m = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 4155404?\nAnswer: -9\/4155404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*v + 6230 = -1880*v + 4108*v for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1075 + 2043. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 1\/6 (c) -0.0267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1807*w**2 - 48787*w - 31. Give z(27).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*i**4*r**2 - 2*i**3*r**2 - 47*i*r**2 - i*r wrt i?\nAnswer: -516*i**2*r**2 - 12*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -35061.79844.\nAnswer: -35061.78844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 45*q - 45. Let u be k(1). Solve -9*i - 54 + 45 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2022, 4001, 5980?\nAnswer: 7959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 111*v + 1780. Determine z(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6381, -6713, -7045, -7377, -7709?\n\"Answer: -332*w - 6049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 47, 64?\n\"Answer: 17*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let a(p) = -2*p. Let s(r) = -3*a(r) + 4*j(r). Suppose 3*b = -m + 2*m + 7, 2*b - 14 = 3*m. Let z(k) = -3*k + b - 1. Give s(z(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 12*b**2 + 14*b - 15. Let p = 24537 + -24550. Calculate j(p).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -10, -h - 2*h = -2*j - 245. Suppose 0 = t + t - 5*g - 35, -3*t + h = -g. What is the greatest common factor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 424358\nAnswer: -3394864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212125 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/12 + p**3\/6 - p**2\/2 - 2*p. What is the units digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 3}. Give prob of sequence yvy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 - 9*p - 3. Let v(q) = -q**2 - 16*q + 2. Let i(b) = -3*b**2 - 67*b + 10. Let x(s) = -2*i(s) + 9*v(s). Calculate 4*r(w) - 6*x(w).\nAnswer: 2*w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 9. Let w = 375 + -82. Suppose w*g = 283*g - 40. What is r(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/4, -0.4, -9, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -9. Let k(j) = -j**2 + 7*j + 1. Suppose 0 = -5*v - v + 36. Let q be k(v). Solve -3*z = -9, i + q = 5*z - b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*z - 538*z + 15 = 0, 2*z = 4*h + 58 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or -125?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5 + 2*h**2 + 5 + 5*h**3 - 1 - 3*h**3. Let m be f(1). Let q be (-22)\/(-5) - 8\/20. Put -1, q, m in ascending order.\nAnswer: -1, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 5*c - 5*c. What is t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**3 - 246*j**2 - 503*j - 41. Give b(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 156285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 58028.06 years?\nAnswer: 5802.806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5037471 > -5037654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from epppppppppppe?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6333, -6229, -5983, -5529, -4801, -3733, -2259?\n\"Answer: 11*q**3 + 5*q**2 + 12*q - 6361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 22)*(4759*r - 4759*r + 28*r**3) as f*r**2 + k*r**3 + t*r + q and give k.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111401 (base 6) to base 13.\nAnswer: -1c6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvcvvccwvcc. Give prob of sequence wvw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/160, -5512, 5 in ascending order.\nAnswer: -5512, 1\/160, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23302012 - -123?\nAnswer: 23302201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*o + 49 = 284*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12552.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*j**2))\/j)\/j)\/(j**(3\/5)\/j)*j**(21\/2)*((j\/(j**(-1)*j))\/((j*j**5)\/j))\/j**(3\/31) assuming j is positive.\nAnswer: j**(1179\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h. Let v be q(-1). Let d be v\/10 - 28\/20. Let i be (-1 + 0)\/(d\/4). Solve 0 = -4*a - 4*o + i, 4 = a + 4*o - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10226797.\nAnswer: 7, 1460971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9361 * -4\nAnswer: 37444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198726 and 33924?\nAnswer: 102145164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22673 or -22672?\nAnswer: -22672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Let w = j + -4.3. Let l = -2014\/2859 + 36\/953. Which is the smallest value? (a) -3 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003546827 rounded to 5 decimal places?\nAnswer: -0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**5 - 3*i**5 + 5*i**5)*(-1 - 1 + 1) + (i + 2*i**3 - i)*(26*i**2 - i**2 + 16*i**2).\nAnswer: 84*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, d: 3, i: 1}. Give prob of sequence ccd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 50, 106, 184, 284?\n\"Answer: 11*p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3860611 by 14.\nAnswer: 3860611\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 1. Let z be (-27)\/21 + (-4)\/(-14). Let g be d(z). Suppose -20 = 6*i - i. Sort -1, g, i in descending order.\nAnswer: -1, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5 - f**4 - 2*f**4 - 39*f + 48*f. Let r(l) = -5*l**4 + 13*l - 8. Let s(k) = -8*d(k) + 5*r(k). What is the second derivative of s(n) wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*s - 1697 = -6323 - 764 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 35*f - 26. Let l(k) = -2*k. Give l(n(c)).\nAnswer: -70*c + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -642315 less than -642311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1320 - 1913. Let p = r - -2987\/5. What is the common denominator of p and ((-8)\/210)\/(44\/(-440))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((sqrt(66)\/(sqrt(108)*-2))\/(sqrt(54)\/sqrt(3)*-1))**2.\nAnswer: -5173\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -15. Let d be 5\/(-3*(-4)\/v). Suppose 2*h - 48 = 6*h - 2*a, 3*h - d*a + 29 = 0. Do -13 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6950, 14062, 21360, 28844?\n\"Answer: 93*k**2 + 6833*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**(-23))**(-1\/20) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1467*i - 3139*i + 46816 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5 + 5 - 2*z. Let l be r(1). Let y be -2 + (-394 + l)\/(-3). Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {h: 1, b: 5, g: 6, m: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*n + 8965 = -950 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 3*r - 3*r)*(4*r**2 + 10*r**2 + r**2) + 2*r**4 + r**4 - 5*r**4 + 235*r**4 - 15*r**4 + 4*r**4.\nAnswer: 207*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3915902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.72 + -0.64. What is r rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*t + 2, 5*g - 4*t = 10*g - 4. Suppose 3*l + 171 = -g*l. Let w = -57 - l. Solve -j + 3 = -w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b**2 + 9*b + 2. Let z be r(4). Suppose p - 3*y - 7 = 0, 0 = -6*p + 4*p + 5*y + 12. Sort 4, z, p, -4.\nAnswer: -4, p, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2*g*g)**(-15))**39 assuming g is positive.\nAnswer: g**(-2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:21 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from wwbmhywfhyh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*i - 104, 2*i + 84 = 4*v + 4*i. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(sqrt(28)\/sqrt(2))\/sqrt(7).\nAnswer: -5 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 - 523 = -81*s + 76*s. What is the highest common divisor of s and 714?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51172 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/90*46)\/(((-252)\/105)\/4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/11 + 618*k**3\/11 + 55986*k**2\/11 + 1598870*k\/11 + 1543500\/11 = 0?\nAnswer: -175, -70, -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -37. Put 5, 4, s in increasing order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 2\/9 (c) 0.12 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152349255?\nAnswer: 3, 5, 376171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 17*c**2 - 2*c + 1. Let h be m(1). Suppose -3 + h = a + 5*w, -3*a = -2*w - 22. Sort -0.5, a, 2\/9.\nAnswer: -0.5, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33302 + -33301.9. Suppose 4*j - 26 = -6. Let r = 8 - j. Which is the nearest to d? (a) r (b) -3\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11734934?\nAnswer: 2, 5867467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n - 4 = -37*n - 43*n + 2*q, -q + 2 = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**16*o**(-2)*(o**12\/o)\/(o*((o**(-1\/22)*o)\/o)\/o) assuming o is positive.\nAnswer: o**(595\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(1700) + (-2 + sqrt(1700) + sqrt(1700) + -1)**2 + -5 + 1*sqrt(1700) + 1) + 2)*4.\nAnswer: -54432 + 800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7482 + 172115\/23. Calculate the common denominator of a and -81\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 8. Suppose u = d + d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = y + 8, -m = 2*m - y - 20. Let r = m - 0. Solve 9*b + 3 = r*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l**3 - 6334 + 6336 + 11*l**2 - 6*l**2 as z*l**2 + b + k*l + t*l**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-10)*15\/6 + 1. Suppose 11 = t + t - 3*y, -y + 1 = -v*t. Is (-1 - t\/6) + (-494)\/(-57) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3, 188, -23, -4, 28 in ascending order.\nAnswer: -23, -4, -3, 4, 5, 28, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 920678?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*r**3 + 25473*r**2 - 6026445*r + 8651799.\nAnswer: -3*(r - 471)**2*(9*r - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, 6, -6, 3 in descending order.\nAnswer: 21, 6, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from sxscocsscosssscs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 90027.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 118, 230, 342?\n\"Answer: 112*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/(-330))\/((-2)\/44877740) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011011000100100110101 - 1?\nAnswer: -111011011000100100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 705340 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3263442 and 973?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzvh when four letters picked without replacement from {h: 1, v: 4, i: 1, z: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 11*d**2 - 2*d + 16. Give q(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose -3*q = x*q - 10. Let m be (0\/(-6))\/(q\/1). Solve g - z = -4*z - 12, -g + z = m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 266\/5533 or 0?\nAnswer: 266\/5533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 77 = -25. Factor -9*d - 6*d + 31*d**2 - w*d**2 + 3*d.\nAnswer: -3*d*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625129543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14520 - 5476 = 0. Suppose -n - j = -5*a - 3*n, 914 = 2*a + 4*n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41.39 + 0.39. Let k = 41.05 + r. Put k, 1, 3\/2 in descending order.\nAnswer: 3\/2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 8, -3, -51, 4, 0 in ascending order.\nAnswer: -51, -3, 0, 4, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 96. Let z = n + -45. What is the second smallest value in -1, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1276.4 - -1276. Which is the biggest value? (a) 3\/4 (b) -3 (c) -62 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 81*t**2 + 800*t - 15. What is i(-10)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 47*p + 193. What is n(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/5)\/o**0*(o**1)**22 assuming o is positive.\nAnswer: o**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21621, 43333, 65045?\nAnswer: 86757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247337 is divided by 20497.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10\/21 (b) -1889 (c) 4 (d) 0.4 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - 94. Let a = d + 50. Let w = a - -73. Solve w*c = 2*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/270 and 94\/13357935?\nAnswer: 80147610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*v - 383, -2*z + 0*z + 4*v + 760 = 0. Calculate the greatest common factor of 81 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 1 = 2*a - 14*s, -4*a + 4*s = -8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v**3 + 3*v - 79. Let r(o) = 3*o**3 - o + 40. Let g(s) = 7*r(s) + 3*t(s). What is the first derivative of g(y) wrt y?\nAnswer: 9*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10) + 0)*(-80)\/48. Let r(o) = 3 + 0 - o**p - 3*o + 0 + 2. Let a = 2 - 6. What is r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {s: 10, o: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1705 and 1595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -32*k - 3. What is the units digit of (k\/(-3))\/((-3)\/10026)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-56)*4\/2*14\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/63 (b) 3 (c) 1 (d) -4\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(2 - -4)*((-2163)\/42 + 47)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 122*t - 117*t - 23743, 0 = -2*t + f + 9497. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/24 and -68\/278013.\nAnswer: 2224104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004146 to six dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**2 + 1. Let w be x(-1). Solve -3 = 4*z + 5, 5*k = 4*z - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169 - 82. Let l = a + -62. Let d = 25.06 - l. What is d rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from hkhhqvhgqkmgmh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140120001201 + -10?\nAnswer: -140120001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**3 - 14*m**2 + 10*m + 10. Let j(f) = 5*f**3 - 7*f**2 + 4*f + 4. Calculate -5*j(y) + 2*q(y).\nAnswer: -3*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + c?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1424 (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 10*q**2 - 26*q + 27. Let l be o(12). Let u(c) = c**2 + 5*c - 1. Let s be 3 + (0 + 3)*-3. Let j be u(s). Sort -1, j, l in ascending order.\nAnswer: -1, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 3, 3\/4, 554\/119, 2\/15, 0, -639?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*1*sqrt(637) - sqrt(637)) + sqrt(637) - sqrt(637)) + sqrt(637))**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2087882 and -111\/14?\nAnswer: 14615174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 786 by 11.\nAnswer: 786\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-2\/9))**(-2\/25))**(7\/4))**(1\/6))**(-31) assuming l is positive.\nAnswer: l**(-217\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - -1.7. Sort -3, f, -5\/2 in increasing order.\nAnswer: -3, -5\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + -4 - (5 + -1). Let n = l - -14. Let a(z) = z**3 + z**2 + z + 27. What are the prime factors of a(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a - 5583*a**2 + a**5 + 0*a + 5586*a**2 + (-a**5 - 6*a**5 + 0*a**5)*(0 + 1 - 3).\nAnswer: 15*a**5 + 3*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6674 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(156) + sqrt(156))*-2 + sqrt(156))*2)\/(sqrt(24)\/(2*(sqrt(2)*1 - sqrt(2)) + sqrt(2))))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49049?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -42*d**2 + 3*d. Let p(t) = -2*t. Give y(p(s)).\nAnswer: -168*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((11\/((-264)\/(-234)))\/(3\/(-8)))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17891\/11764?\nAnswer: -17891\/11764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.566 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73415.7365 rounded to the nearest one thousand?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-262.227.\nAnswer: 262.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 821 = -199. Suppose 5*h = 3*k + x, -3*h - 2*k - 335 = -8*h. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 6*z**2 - 53980*z + 35984 = 0.\nAnswer: 2\/3, 8996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/3456*((-12)\/(-5))\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/135 and 4\/1065.\nAnswer: 9585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -198.\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-128)\/(-288)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + -0.1. Let s = 2 + k. Let u = 4 - s. What is the nearest to -1\/4 in 0, u, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.14, -0.03, 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.619299400762 and -0.102.\nAnswer: -0.721299400762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321021121 - 11?\nAnswer: 1321021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*i**4 - 7*i**3 - 15*i**2 + 5*i wrt i.\nAnswer: 2136*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)\/((f**(-2\/67)*f)\/f) assuming f is positive.\nAnswer: f**(-735\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*b + 3*x, b + 0 = 2*x - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - -1*sqrt(132))\/sqrt(11))\/((sqrt(324)\/sqrt(6))\/sqrt(9))*6)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004332 to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6852623 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 - 234\/156.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Let s be (-615)\/(-21) - (-4)\/(-14). Suppose -5*y + s = 4*t + 9, -5*y + t - 5 = 0. Solve 0*g - z*g = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*b + 9, 2*f - 2*b + 8 = 2. Suppose f = -6*x + 3*x + 108. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c862 (base 15) to base 10.\nAnswer: -447392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 5) to base 12\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-375)*1*5\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 3 + -3)*-2. Let g be 30\/3*z\/36. Are g and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**23*(f**0\/f)**1 assuming f is positive.\nAnswer: f**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6486385 (base 9) to base 4\nAnswer: -31102012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Solve 22 = 5*g - 4*t, 3 = 2*g + t + b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/35*(2\/7 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1071 - 855. Calculate the greatest common divisor of r and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -743 - -739. Let l = 2 + -2.9. Let b = l + -4.1. What is the second biggest value in 4\/3, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -1\/4, -1, -0.3, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10788 = 368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4.6, -1\/6, 3, -10, 0.04?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -5 (c) -1\/9224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 59, 75, 73, 47, -9, -101, -235?\n\"Answer: -y**3 + 35*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kseuks.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10691*a - 716302. Determine r(67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/32 (b) 1\/2 (c) -77\/5 (d) 3 (e) 1 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3273247905.\nAnswer: 3, 5, 12197, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w - 9. Suppose 3*y + 30 = q, w*y + 0 - 6 = -q. Calculate the smallest common multiple of 6 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 72 + 4570 = -722. Sort -5, 3, p, -3, 7 in descending order.\nAnswer: p, 7, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 5846921?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 - ((-1)\/((-1)\/2))\/(-2) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**8\/1176 + 8*u**7\/245 + 5*u**6\/84 + 203*u**2. Factor s(c).\nAnswer: -2*c**3*(c - 25)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*y + 72*y = 659981000. Round y to the nearest one hundred thousand.\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 442? (a) 1 (b) 1\/13 (c) 2 (d) -0.5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*(7 - 9). Suppose -2*a = j*l - 2, -3 = -5*l - 5*a + 2. What is the second derivative of 2*u + 0*u**3 + 3*u + u**3 + l*u**3 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13802?\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 6 + -11 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 57 = -285. Suppose d*t - 80*t = -12. Solve -5*k + 0*k = -15, 6 = -x + t*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -42*o**5 - 4*o**4 + 4*o**2 + 7*o - 6. Let w(f) = f**5 - f**4 + f**2 - 1. Let i(g) = h(g) - 4*w(g). Find the second derivative of i(t) wrt t.\nAnswer: -920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -57 - (-35 + 14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-9)\/25)\/(2344\/2930)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3*s - 24. Determine b, given that 2\/9*b**2 - 2\/9*b**4 + 2\/9*b**s + 0*b - 2\/9*b**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23681285 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082770\/309 greater than 16450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 778 * 0.21.\nAnswer: 163.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -8 - -5 - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 3 = -4*t - 3*n, 2*n = 3*t + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 3, w: 1, e: 2, c: 9}. Give prob of sequence bb.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*g**3*n**2*z - 3*g**3*n*z + 105*g**3*z + 22*g**2*n**2 - 186*g**2*n*z + 4*z wrt g.\nAnswer: 186*n**2*z - 18*n*z + 630*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11195, 13511, 15835, 18167, 20507, 22855, 25211?\n\"Answer: 4*d**2 + 2304*d + 8887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5201 (base 8) in base 13?\nAnswer: -12bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.584 - -10749491842\nAnswer: 10749491839.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 2, u: 7}. Give prob of picking 1 o and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844326846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -4 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(242) + 2.\nAnswer: 2 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 2*i - 1. Let w be j(-2). Let l = 1 + w. Suppose -2*s - 3 = -3*a - l*a, -3*s - 6 = -5*a. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from bbbbbblblbbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (13 - 19) - -31) + (2 - -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68286 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 288 = 332. Let i = 356 + -351. Suppose i*a = 4*g + 244, a - 5*g + 280 = 6*a. What is the remainder when j is divided by a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.32 + -7.3. Let v = r + -0.12. Let f = 469\/12 - 121\/3. Is f < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3147574 (base 8) in base 6?\nAnswer: -25554444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 894345 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -34*j**2 + 0 + 0*j - 8\/3*j**3 - 3667\/6*j**4. Let n be a(-12). Round n to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1, 6, 4, -1.3, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4585 = -2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -5*z + 49*i - 149, -6*i + 20 = -2*z - 2*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 726226.7 litres in millilitres?\nAnswer: 726226700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 3. Is q(4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(425) + 0)**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 6, -91*s + 96*s - 5 = -n. Put n, -24, 4, 11, 2 in decreasing order.\nAnswer: 11, 4, 2, n, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(180)*2 + 2 - ((1*sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180))*4) + -1 + sqrt(180) + -5 + 1) + 2)**2.\nAnswer: 60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234 - 231.03. Let k = b + -2.969999714. What is k rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 159 = -537. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(36\/(-9)))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5959254 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4, 3*m + 0 = -2*w + 5. Solve 20 = 5*j, -6*j + j = m*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*z**4 - 42*z**2 - 34*z**4 - 7 + 7 wrt z?\nAnswer: -1776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10275916 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -476*c**2 - 26773*c**3 + 26773*c**3 + 734*c**5 wrt c.\nAnswer: 44040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*k - 245*k**2 - 4\/5.\nAnswer: -(35*k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.69984 - -2.19984. Suppose 3*l - 4*z = -87, -2*l + 0*z - 58 = -3*z. Sort 1, h, l in increasing order.\nAnswer: l, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76160, -76003, -75844, -75683?\nAnswer: -75520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 69*y - 5. Let k(t) = 104*t - 8. Give -8*b(v) + 5*k(v).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-11 - 280\/(-42))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -606, -2655, -6118, -10989, -17262?\nAnswer: -24931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/4 - 1010*u + 186531 = 0.\nAnswer: 194, 3846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (927*i - 144536 + 144536)*(-i**2 + 3*i + 3*i + 0*i**2) to s*i**3 + a*i + r*i**2 + w and give s.\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -4*t, -2*p - 2*t = p + 2. Suppose p = 5*v - 2*v - 2757. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 42 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/9))**(1\/23)*(k**7)**(-20\/7) assuming k is positive.\nAnswer: k**(-4135\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2, 3\/23, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 39.08. Let k = p + 1.92. What is the third biggest value in 4, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129598 is divided by 405?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11933*j - 9701551. Calculate w(-813).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 60378*x**2 - 60381*x + 120758.\nAnswer: (x - 60379)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 + -110. Suppose 2*p = -2*p - 5*a - 13, -3*p = 2*a + 1. Suppose l - 5*f - 169 = 0, 3*l - 438 = p*f + b. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f\/(f\/(f\/(f\/(f\/((f*f**(-10)\/f)\/f)*f)*f))))\/f))\/f*f\/(f\/(f**(-5\/6)*f)*f))\/((f*f**(-1\/21))\/(f*(f**27\/f)\/f)) assuming f is positive.\nAnswer: f**(171\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -14*p - 5*h + 628540, 1 = h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*h**2 - 38 - 14 + 210*h**2 to c*h**2 + r + a*h and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88730 - 255350 = -22*a. Suppose 100*h + a = 117*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.201 - -2.501. Which is the closest to -1\/3? (a) -4\/7 (b) 0 (c) o (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/56)\/(985\/1379)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 5\/7, 10, 39, 0 in decreasing order.\nAnswer: 39, 10, 5\/7, 0.12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((549\/(-1830))\/(11\/15))\/(6\/(-16)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/102573104 and -83\/2780.\nAnswer: 512865520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 131341447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 70*v + 28*v.\nAnswer: 106*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23083943.56999852 + 23083944. Let s = v + -0.43. Round s to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 4*d - 6. Let f(q) be the second derivative of 1\/12*q**4 + 0 + 1\/6*q**3 + 11*q + 1\/2*q**2. Let i(r) = b(r) - 3*f(r). Calculate i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 60693468*j + 24277388.\nAnswer: -(j - 12138694)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2607 + 2607. Which is the second biggest value? (a) y (b) -0.4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 26\/14999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 4*h**4 + h**3 + 2*h - 3*h**3 + 4*h**3 + 0*h as m + d*h + i*h**4 + n*h**3 + o*h**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o**2 - 2*o)*(11*o - 6*o - 8*o)*(53 + 17 - 10).\nAnswer: -540*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 1755405*b + 75491660.\nAnswer: -5*(b - 351124)*(b + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162*o**4 + 187*o.\nAnswer: -1944*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = w + 538012, 0 = -5*g + 7*w - 6*w - 672506. Let s = g - -1934502. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.75*-0.213\nAnswer: -0.58575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, y: 4, o: 3}. Give prob of picking 2 y and 1 o.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 19*g + 8. Does 12 divide n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 m when four letters picked without replacement from mreeeeeemrrmerem.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1000110 (base 2) to base 11\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8189569.\nAnswer: 193, 42433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 - 35610*r + 105672675 = 0. What is r?\nAnswer: 5935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 585200?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3655 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598349446 + -6?\nAnswer: 3598349440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 212121 (base 3) in base 13?\nAnswer: 3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 2. Let q(a) = -a**3 - 11*a**2 - 9*a - 2. Let w be q(-10). Let u be (42\/w)\/((-1)\/2). Determine r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6842679 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -7 + 1\/10*n**2 + 0*n**3 - 1\/10*n**4 + 0*n + 0*n**5 + 1\/30*n**6. What is w in x(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 3?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from ypyabpygy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 17, c: 1}. Give prob of sequence nn.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (42\/(-8) - 6\/8). Solve -v*g - 24 = g - 5*l, -5*l = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 24166*m + 120774. What is s(-5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 48*m**4 - 32*m**3 - 8*m**2 + 4*m. Let u(y) = -49*y**4 + 31*y**3 + 8*y**2 - 5*y. Let s(n) = -4*u(n) - 5*w(n). Let s(b) = 0. Calculate b.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 26*k - 26*k - 2*k**3)*((-3 - 2 + 3)*(-3*k + 0*k + 0*k) + 3*k - k + 2*k + 3 + k - 3).\nAnswer: -22*k**4 + 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*q**5 + 6 - 3*q**2 + 5 - 11 wrt q?\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k**(-4)*k)\/k*k)**23 assuming k is positive.\nAnswer: k**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 511\/2 + -291. What is the common denominator of i and (2\/(-36) - 0)*-19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24063 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -19*k - 94. Is i(-11) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 3*j - 8. Let l be i(5). Let x = 12 - l. Let w = 6 - 2. What is the greatest common factor of w and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a + 3*a + 18 - 17*a + 9*a + 2*a. What is t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3453*-0.14\nAnswer: 483.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + 0.5. Let h = -1.4 + t. Put 0.3, h, 0 in decreasing order.\nAnswer: 0.3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**3 - i**2. Calculate r(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197.848 + -0.152. Let f = r + 199.67. What is f rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 5*u**3\/3 + 3. Let c(s) = 5 - s**2 - 5. Give c(o(f)).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -30*m - 221*m**2 + 12*m - 224*m**2 + 447*m**2. Determine c(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4 = -q, 58*q - 57*q = 2*c + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, 3\/2, 26, -3, -0.274?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 518 + -496. What is the remainder when (8 - -99)*(1 + 0) is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*b - 74, 43*b + 2*o = 41*b + 78. What is the highest common factor of b and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q - 11. Let d be k(9). Differentiate -542 + d*h + 384 + 255 wrt h.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 1186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*n + 9, 611*n + 27 = -2*l + 606*n for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 2) + -48 + (7 - -5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13*p**2 + 6*p - 10. Let f(x) = 11*x**2 - 5*x + 11. Let n(r) = -7*f(r) - 6*u(r). What is the remainder when n(9) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 280*v**3 + 270*v**2 + 280*v - 275.\nAnswer: 5*(v - 55)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*((5 + (sqrt(72) + sqrt(72)*-1)**2)*6 - -1*(sqrt(50) - -2*(-1 + sqrt(50)))).\nAnswer: -54 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -63. Let z be (-3)\/12 - (-23)\/28. Which is the third smallest value? (a) -0.1 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/11)*g)\/(g**(2\/5)\/g))\/(g**(-1\/15)*g**(-1\/2)) assuming g is positive.\nAnswer: g**(131\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = 36. Let i = 87 + -80. Calculate the smallest common multiple of b and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13487*r**5 + r**2 + 207*r + 1 wrt r?\nAnswer: 809220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -9 - -1)\/(-1). Let z be 1 + -1 + 2\/(-8). Which is the smallest value? (a) 0.5 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5 = 0, 3*l - 6*z - 19348 + 19378 = 0 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7483 = -668*p + 12557 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 (base 10) in base 14?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -0.3, 0, 1\/938855?\nAnswer: 1\/938855","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(6\/11)\/(b*b**(2\/5)))\/((b*b**(-7))\/b*b**(-1\/13)))**(21\/5) assuming b is positive.\nAnswer: b**(93429\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 6901101*q**3 - 35*q**2 - 382288612*q wrt q?\nAnswer: -12*q**2 + 41406606*q - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286094110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmm when four letters picked without replacement from {h: 3, g: 2, p: 1, m: 6}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3806937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -1.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-42)\/(-56))\/(1\/(-96)). Let l = 181 + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*j**2 - b**2 + 3670*b*j**2 + 932*b + 4 wrt j.\nAnswer: -2*b**2*j + 7340*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716716 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -90*c. Let u(d) be the third derivative of d**5\/30 - 2*d**2 + 59. Calculate g(u(k)).\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53145 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110328744, -110328743, -110328742?\n\"Answer: b - 110328745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.8 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.03*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*i - 0*i + 138, -163 = -4*f - 3*i. Suppose -37 = -4*z + f. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2785, 7752, 14739, 23752, 34797, 47880, 63007, 80184?\nAnswer: 99417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1216 + 1215.7. Which is the second smallest value? (a) i (b) 1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06592 and -6034.\nAnswer: -6033.93408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:07 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.2 + 0.8. Let z = -0.006 + -0.414. Let w = 0.02 + z. Which is the third smallest value? (a) -5 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 121211001200012?\nAnswer: 121211001122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 40 - 35 - 44 + 119.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - k = 8, -753*b - 16 = -754*b + 2*k. Which is greater: 81\/568 or b?\nAnswer: 81\/568","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*r + r. Suppose -1 = 2*i - r. Suppose 2*p - 20 = -5*v - i*p, v - 4 = -5*p. What is the lowest common multiple of v and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*f**2 - 213*f**2 + 430*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 1140*s - 12079584.\nAnswer: (s - 2952)*(s + 4092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340 + 13271*n**3 - 13268*n**3 + 340.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 181 - 4685?\nAnswer: -4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37780965 * 4.\nAnswer: 151123860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -116516 - 0?\nAnswer: -116516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1231825 and 1477.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 12*y**2 - 32*y - 2. Let o be j(8). Let d = -1033\/2 - o. What is the fourth smallest value in -1, 3, -3\/7, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -11) + (-4)\/(-4). Let s = a + -8. Let x = s + 19. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001258499 rounded to seven dps?\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4)**(2\/5))**(6\/5) assuming f is positive.\nAnswer: f**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3715*h**2*t**3 - 305*h**2 + 122*h - 25*t**4 wrt t?\nAnswer: 11145*h**2*t**2 - 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2041 + 2044. Let z(w) be the second derivative of 1\/35*w**7 - 7\/75*w**6 + 0 + 0*w**4 + 0*w**m + 0*w**2 + 1\/25*w**5 - 8*w. Factor z(r).\nAnswer: 2*r**3*(r - 2)*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -4 (c) 0.2 (d) 0.1 (e) 2.2 (f) -2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:39 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22223369 divided by -1307257\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -58*m + 79296. Calculate the highest common factor of m and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2229197*l*n - 6*l - 11238628*n wrt l?\nAnswer: 2229197*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*2*sqrt(49)\/sqrt(7))**2 + sqrt(378)\/(5*sqrt(150)).\nAnswer: 3*sqrt(7)\/25 + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2367*z - 3. Determine f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -256 + 329. Find the second derivative of -73*o**2 + s*o**2 + 3 + 3*o**5 - 4*o + 3*o**4 wrt o.\nAnswer: 60*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 17. Let m = -3 + 10. Let j be c(m). What is the highest common factor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 10*a**3 - 21. Let f(r) = r. Determine f(c(u)).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 1075 + 4315. Suppose 242*g**2 - 530*g**3 + d + 108*g**2 + 95*g**4 - 5*g**5 + 3104*g + 905 - 409*g = 0. Calculate g.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -25. Let v = d - 21. Suppose -31*g + 30*g - 5 = 0. Sort -3, g, v, -4 in descending order.\nAnswer: v, -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93b98 + 0?\nAnswer: 93b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1482, -1471, -1460, -1449, -1438?\n\"Answer: 11*g - 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-15912)\/12 - 5 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2. Let s be (15 + 1 + -12)\/(3 - (2 + 0)). Let y(n) be the second derivative of 0*n**3 - 16*n + 0 + 1\/12*n**s + 0*n**2. What is y(j(w))?\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 6. Let i(n) = -2*n + 5. Let g(k) = 6*i(k) - 5*o(k). Let y(f) = -1 - 84*f + 0 + 201*f - 90*f. Calculate g(y(w)).\nAnswer: -54*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 17.7, -6108 in descending order.\nAnswer: 17.7, 0.4, -6108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*m = -0*p + 50, 4*m + 30 = -3*p. Let c = p + 4. Let f(v) = v**3 + 4*v**2 - 13*v - 1. Let l be f(c). Solve l*z = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - h + 13)*(5 - 4 + 0).\nAnswer: 2*h + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:49 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-6)\/279*6*(-5)\/(-20)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141516 + 141505. Let d(q) = 8*q - 5. Let n(p) = 4*p - 3. Let z(t) = -t + 1. Let x(a) = -n(a) - z(a). Give r*x(s) - 4*d(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2\/17, 3, -2\/5, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odgg when four letters picked without replacement from {d: 2, t: 2, x: 1, o: 1, f: 1, g: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 508*v + 3215*v + 1161*v - 20 + 20 to c*v + l and give c.\nAnswer: 4884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/49 and -109\/506.\nAnswer: 24794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knakkaakakaanann. What is prob of picking 1 n and 1 a?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29\/2 of a millisecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16644629 divided by -1?\nAnswer: -16644629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1+-541642733.93\nAnswer: -541642732.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.896 - -1.896. What is the smallest value in 1\/8, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 3. Let g be m(-10). Let d = 25 + g. Suppose -y = 2*w - 23, -2*w + 5*y + d = -3. What is the highest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 16*h + 142 = 118, 5*d + 2*h = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3862 - 4.3862. Put -3, l, 1\/3, -0.2, 4 in decreasing order.\nAnswer: 4, 1\/3, -0.2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(1584))*-4)**2.\nAnswer: 2304*sqrt(11) + 101520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 887\/5 - 177. What is the nearest to f in -4, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2547*t - 1822. Let d be f(-15). Round d to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 9, c: 2, g: 6}. What is prob of picking 1 g and 1 c?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368\/14 + 6\/(-21) is divided by (-456)\/(-33) + 6\/33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 15. Suppose 4*v + 2 - a = 0. What is the least common multiple of v and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 69*f**2 - 94*f + 160. Give w(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 2\/3 (c) 4 (d) 49577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-8))\/(2\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*g)*(-3 + 3 - 2)*(-2*g - g + g) + 2*g**2 - g**2 + 4*g**2 as m*g**2 + l*g + z and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*x + 3*x - 4*m, 0 = 5*x + 2*m - 21. Let n(p) = 3*p**2. Let s(a) = -2*a**2. Let d(i) = x*n(i) + 4*s(i). Let k(q) = q**2. Determine d(k(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:46 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 377030489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 524125054 + -30?\nAnswer: 524125024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 3. Let h be f(0). Let c be 4\/(4\/5) - 0. Differentiate -h + c - 2*z**2 + z**2 with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*1 + (sqrt(350)*3 - sqrt(14)))\/(sqrt(847)*-1 + -1*sqrt(28))*-2.\nAnswer: 36*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 56 (b) 1\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 1.21.\nAnswer: 15.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207 + 214. Let d(h) = 7 - f + 0 - 4*h. Determine d(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x + 15. Let u be w(-4). Let b be 2 - (1 - 2 - 1). Differentiate -b*c + u*c + 5 - 4*c - 2*c wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*j + 1376 = 0. Let s(r) = -10*r**3 - 2*r**2 - r + 2. Let l be s(-3). Let z = l - j. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.16 + -1.3. Let k = 0.76 - t. Let h = -0.9 + k. Is h <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 6 = 0. Let v be (-6)\/(-10)*(-2 + 7). Suppose 4*z - k*z - 4*x = -14, v*x = -2*z + 14. What is the greatest common factor of 11 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 89*t**2 + 30*t + 57. Let g(y) = -91*y**2 - 31*y - 57. Let q(a) = 2*g(a) + 3*v(a). What is the hundreds digit of q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-6)*6\/4. Let q = 3 - r. Factor 0 + 0*o - o**3 + q*o**4 + 1\/2*o**2.\nAnswer: o**2*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1564)\/(-276) - -10*3\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**2 + h - 1\/4*h**4 + 0*h**3 + 0. Let d(k) = 2*k**2. What is d(j(g))?\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-4 - (-1 - -2)). Let d be (k\/3)\/(5\/15). Which is the nearest to -1\/4? (a) -2\/9 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100058005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 10704?\nAnswer: 96336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47296.08386 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85.47 - 0.47. Let z = j - 85.4. Let k be (5\/25)\/((-22)\/(-10)). Sort z, k, 0.2 in descending order.\nAnswer: 0.2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34468?\nAnswer: 2, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/42)\/(2\/36). Let d be (0 - w\/(-4))\/21. Let m = -17\/42 + d. Sort m, -5, -0.3 in increasing order.\nAnswer: -5, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*t - 143*t = -9. Solve 3*u + 2*s = -u - 18, -t*s = -3*u + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -728296.\nAnswer: -1\/182074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308 + -307. Let i = 239\/441 - -2\/147. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 21*i**4 + 3*i**3 - 3*i + 7. Let n(z) = 21*z**4 + 4*z**3 - 4*z + 7. Let u(g) = 4*k(g) - 3*n(g). Differentiate u(x) with respect to x.\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/11865 and 71\/3955.\nAnswer: 11865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-18)\/(-12)*4\/(-3)). Suppose k*c - 8 = -4*c, 2*q + 2*c = 10. Let j be 4\/14 - -6*10\/35. Calculate the greatest common divisor of q and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -457 - -460. Let u = 8 - 3. Factor -2*g**4 + 1\/2*g + s*g**3 + 0 + 1\/2*g**u - 2*g**2.\nAnswer: g*(g - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1587 - -1595. Solve -12*r - o = -8*r + 2*i, 2*r + 4*i - 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 3*m - 3*h - 63, h + 292 = 2*m. Suppose 0*d = -3*d + m. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*n = 237*n + 3*w + 1, -71 = -4*n + 13*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 71. What is p(-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101010110111 (base 2) to base 6\nAnswer: -20411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 163*c + 406. Let p be i(-52). Solve 24*j = 17*j + p for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, -5, 2\/9, -16, -4 in ascending order.\nAnswer: -16, -5, -4, -3, 2\/9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.220945018 rounded to four dps?\nAnswer: -2.2209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*y - 195*y**4 + 18*y**3 + 392*y**4 - 15*y**2 - 200*y**4.\nAnswer: -3*y*(y - 4)*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 566930*l*x**2 - x**2 + 6*x - 4331 with respect to l.\nAnswer: 566930*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.0007\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3461959?\nAnswer: 733, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 624.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 6*p**4 + 0*p**2)*(-6948 + 6948 + 138*p).\nAnswer: 828*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*o*s**5 - 2*o*s**3 - 2*o*s - 25*o + 6 wrt s?\nAnswer: -820*o*s**3 - 12*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3553 divided by 19\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404 and 196832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217*s**5 - s**4 + 3*s**3 + 2*s**2 - 18*s - 9 wrt s.\nAnswer: 13020*s**2 - 24*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 17*l - 68. Let g be n(7). Calculate the remainder when (g\/15)\/((-5)\/(-50)) is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 + 3 + -5 + 4. Suppose 11 = 2*o - 5. Let u = j - o. What is the remainder when 29 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 10 = 2. Suppose q*f - f = 10. Calculate the remainder when 39 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 7*u - u)*(13 - 509*u + 1923*u - 13 + 3382*u).\nAnswer: 52756*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/31)*g*g)\/g**(-12))\/((g**(1\/13)*g)\/(g*g**9)) assuming g is positive.\nAnswer: g**(9615\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 13. Let h be -1*t - (-16 + 8). Suppose -p - p + 211 = h*f, p = -2. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 78*o**2 - 413*o - 158. Determine d(83).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 71*r + 415. List the prime factors of i(-32).\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-128)\/(-32))\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 305 = 830. Solve -13 = -y*m + 12*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23750 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbc when three letters picked without replacement from cbwuococccpcuuoobw.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 358488 divided by 766?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 46*x**3\/7 + 54*x**2\/7 + 26*x\/7 + 4\/7 = 0 for x.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*d**5\/8 + 27*d**4\/2 - 1719*d**3\/8 + 589*d**2 - 390*d = 0. What is d?\nAnswer: -260\/19, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - l**2 + l - 2. Let k(i) = 4*i**3 + i**2 - i + 3. Give -2*k(b) - 3*m(b).\nAnswer: b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 116 = 40. Suppose i + 3*i - 4*g + y = 0, -5*i = 2*g + 58. Let t = -9 - i. Solve -3*c - 5*w + 3 + 7 = 0, 2*w - 13 = -t*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000444298657 to 6 dps.\nAnswer: -0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.932 + -4.9. Let a = l - 9.032. Let g = 8.99989 + a. Round g to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/96 and -25\/16?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -53*i**4 + 13*i**2 - 41*i + 13. Let y(q) = -27*q**4 + 6*q**2 - 21*q + 6. Let d(j) = 6*s(j) - 13*y(j). Find the second derivative of d(p) wrt p.\nAnswer: 396*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -2251?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 219123 and 2619.\nAnswer: 657369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*d**3 - 8281*d**2 - 2643*d + 3093 wrt d?\nAnswer: -978*d - 16562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 14038.\nAnswer: -2\/7019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5936\/106)\/56*-62.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -143*z**3 - 7*z**2 + 6*z. Let q(i) = 285*i**3 + 14*i**2 - 11*i. Let w(b) = 11*a(b) + 6*q(b). Find the third derivative of w(x) wrt x.\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4402 + 4412. Let c(j) = -j**2 + 6*j - 5. Let u = 10 - 6. Let y be c(u). Solve 4*d - 1 = -2*r - y, -4*r - 2*d = b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 25*g = -16. Let k = -1 - -7. Solve -g*y + 2*y = -k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 673*u - 19526. Give l(29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1582 divided by 791?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86943984 and 6768?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, -4, -5, -10, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25641, -104881, -236951, -421851?\nAnswer: -659581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -118 (c) -0.4 (d) -1\/16 (e) -2.89 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(3)*-2 - -6*1*sqrt(25))\/(sqrt(270)\/sqrt(6) + (sqrt(125)\/sqrt(5))\/sqrt(5)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2806, -3001, -3508, -4483, -6082?\nAnswer: -8461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2473\/11 - 225. Let h = 64 - 78. Let l = h - -13.8. What is the biggest value in 0, l, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2153600795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((426\/(-15))\/(52\/910))\/(1\/(-1)) is divided by 157?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c, 5*c - 1 - 11 = -4*j. Suppose -j*t = -t + 5*d - 119, d = -3*t + 159. Suppose 3*n = -2*z + 4, 4*z - n - 4*n = t. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:07 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2158 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3265 + 13295\/4. Let u = 59 - r. Which is the nearest to -0.1? (a) 2\/7 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 1. Let v be y(1). Let p = v - -60. Let z = p - 45. Calculate the smallest common multiple of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3, 0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 25 = -6*g. Suppose 16 = g*v + 6. Suppose 3*w + 12 = -v*u + 4*u, -20 = 4*u + 5*w. Solve 5*b - 10 = -u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8020)\/30 - (-2)\/6) + -3. What is p rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 - 7*f + 1. Suppose 0 = 5*c - 21 - 9. Let b(j) be the first derivative of 2*j**3 - 3*j**2 + j - 2. Give c*b(z) - 5*y(z).\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 10. Let a be b(3). Let g(k) = k**3 + 8*k**2 + 5*k - 9. Let i be g(a). Solve m = -4*v + 2*v + i, -4*m + 3*v + 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(19775\/(-2034)))\/(52\/28)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m**2 - 53*m**2 + 2 - 2*m + 2*m.\nAnswer: -123*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*q = 18, 19 = 5*n - 4*q - 10. Let i = n + 5. Suppose -h - 3*x + i = 0, 3*h - 59 = 5*x - 1. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69544 divided by -2827.\nAnswer: 69544\/2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 10:15 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -535 + 68?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 - 14*v**2 + 29*v**3.\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*7\/4*54\/63?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 4. Let q(s) = -s**3 + 12*s**2 - 11*s + 6. Let w be q(11). Suppose -5*v + 3*v + w = 0. Let l(m) = m**3 - 3. Calculate v*z(i) + 4*l(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -4*f - 16, -221*f + 218*f = -7*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 118 and -9.09?\nAnswer: 127.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789904.5 seconds to microseconds.\nAnswer: 789904500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 + 5*r + 2. Let y(b) be the third derivative of b**5\/10 - b**4\/4 - b**3\/3 + 331*b**2. Calculate 4*u(v) + 3*y(v).\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 1916.7\nAnswer: 19.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + n**2 + 13*n - 29. Determine v(4).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r - 3*o - 15, 0 = 4*r + 5*o + 23. Let g be 54\/15 - r\/5. Suppose 3*b + 2*m - 20 = -3, g*b - 24 = -2*m. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*t)*(t - 2*t + 4*t) + (-1 - 4 + 6)*(0*t**2 - t**2 + 3*t**2) + 3*t**2 + t**2 + 6*t**2 in the form r*t + u + c*t**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 718938 and 3235221?\nAnswer: 6470442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -50, 1\/3, -4\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -72369?\nAnswer: 72379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 1640 = 31*w. Let q = 26 - 8. Calculate the remainder when (63\/9 - 3) + w is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 852, 2735, 6364, 12321, 21188, 33547, 49980?\nAnswer: 71069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -12. Let w be g\/(-14) - 102\/(-42). Which is the third biggest value? (a) -0.02 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 1 = -3*a, s - 3*a + 7 = 0. What is the closest to 0 in s, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13759131899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.08 (b) 5 (c) 0.3 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 - -264564?\nAnswer: 264478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450730260 divided by 2.\nAnswer: -225365130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8371 or -16?\nAnswer: -8371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 7. Let w be z(3). Suppose 0 = 2*n, -795 = g - 6*g + w*n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8 = -3. Let t = h + 7. Suppose 5*y + t = y. Let z(p) = -5*p - 3. Calculate z(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(-2 - 2 + 2)*(70*y**4 + 9*y**3 - 9*y**3).\nAnswer: 280*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20867 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*k = 20. Calculate the greatest common divisor of k and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15854 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*p - 2, -9 = 2*p - 5*f + 12. Let q be (p\/(-3) + 20165\/(-15))*-2. Let k = q - 1533. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2688 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-7)\/7 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/3 + 880*b**3\/3 - 2020*b**2 - 880*b\/3 + 6062\/3 = 0.\nAnswer: -1, 1, 7, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29736 and 5778.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4029062, -8058101, -12087142, -16116185, -20145230, -24174277, -28203326?\nAnswer: -32232377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/7 - 2535*j**3\/7 - 12741*j**2\/7 - 7677*j\/7 + 22950\/7 = 0. What is j?\nAnswer: -3, 1, 850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-6)\/(-6) - -52. Suppose 135 = l*w - 50*w. Suppose -23*i = -w*i + 144. What is the greatest common factor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81, 72, 49, 6, -63, -164, -303, -486?\n\"Answer: -b**3 - b**2 + b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, n: 3, s: 7, y: 4}. What is prob of picking 1 y and 1 s?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -152*k**3 - 4*k**2 - 55*k + 18. Let n(i) = 38*i**3 + i**2 + 14*i - 4. Calculate -2*d(t) - 9*n(t).\nAnswer: -38*t**3 - t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60742, 0.1, 0.03 in increasing order.\nAnswer: 0.03, 0.1, 60742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 414900.831 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 2*b - 1. Let l be r(-1). Suppose m - l = 4. Which is greater: m or 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 750*h**3 - 2*h**2 + 96*h - 473. Is s(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + 10?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*a + 6*a**3 + 5*a - 2045678*a**2 + 2045668*a**2 in the form q*a**2 + z + w*a + v*a**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, l: 3, f: 7}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8540\/(-4410) + ((-9)\/7 - -3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 606730\/(-136) - 3\/(-12)*-3. Which is bigger: -4463 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 24 + 42. Suppose -r + 4*r = -2*n + 776, 0 = l*n - 12. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 672 - -5?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -4 (c) 0.0104 (d) 0.4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 13*h**2 + 15*h - 10. Let v be r(14). Calculate the greatest common factor of v and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*t + 138 + 44 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.9, -221, -5, 7, -1\/2?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2\/2 + f + 38. Determine b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 plus -0.2393?\nAnswer: -130.2393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 2. Let b(f) be the first derivative of 3*f**2\/2 + 7*f - 3. Suppose 0 = 2*r + 29 - 1. Calculate r*k(c) + 4*b(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-78)\/(-18) + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 108 = k. Suppose -15 = -7*w + k. Let p(q) = -7*q + w*q + 3*q + q**3 - 2 - q + 3*q**2. Determine p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/8 - 5791*g**2\/4 = 0. Calculate g.\nAnswer: -11582, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/60 - 3*g**4\/8 + 4*g**3\/3 - 23*g**2. Let k be d(9). Does 54\/7 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**7\/105 + 3*s**4\/4 - 59*s**3\/6 - 31*s**2. Differentiate a(p) wrt p.\nAnswer: -8*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 9*p**2 - 7*p + 4. Let t be h(-5). Find the third derivative of 6*u**4 + 5*u**2 + 139 - t wrt u.\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4036798?\nAnswer: 2, 53, 38083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 4. Let k be d(-11). Let i be (48\/k)\/((-3)\/(-15)). Let l = i - -71. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**2 + 34*k**5 - 51*k**5 - 120*k**2 wrt k?\nAnswer: -1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 2:17 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 8:30 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 10*x**2 + 108*x + 882. Give z(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -126. Let k be (p\/(-4))\/(-1) + 87\/(-174). Suppose 2*r - 2*v + 4*v - 666 = k, 3*r = 5*v + 1023. Calculate the greatest common divisor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19824\/864 - 42 - -19?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + x. Suppose -4*t + 3*r = -10, -x*r + 7*r + 6 = 4*t. Let y(b) = 0*b - t*b + 4*b - b**2. Let i(s) = 2*s**2. Calculate i(y(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1936\/7 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2065 divide 77895930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -0.026721?\nAnswer: -6.026721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/68486 and -30\/1331?\nAnswer: 753346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4642898, -9285788, -13928678?\n\"Answer: -4642890*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 16) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64 + 64 - 28*c**4 + (2*c**2 - c**2 - 16*c**2)*(3*c + 5*c**2 - 3*c).\nAnswer: -103*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61177, -122365, -183553?\n\"Answer: -61188*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 16 (c) -0.14 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -321687, -321695, -321705, -321717?\n\"Answer: -j**2 - 5*j - 321681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.7567 + -0.0567. Let k = s - 56. Suppose 4*g + 3 = 5*r + 9, -3*r + g = 5. Sort r, -1, k.\nAnswer: r, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*130.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 26 = -5*g - 2*f, 2*g - 6 = -2*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 0*i + 2*i + (0 + 1 - 2)*(1 - 2*i - 1) + 2 - 2 - 3*i to v*i + w and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 82*b**3 + 708*b**2 - 2728*b + 1936.\nAnswer: 2*(b - 2)*(b - 1)*(b + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k**(2\/9))\/(k*k**(2\/7)*k)**(-4\/11) assuming k is positive.\nAnswer: k**(-1349\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j - 12. Let q be v(-7). Suppose 5*h + 3*t + 274 = -429, 3*t = q*h + 298. Let m = -55 - h. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 117. Let z = p - 89.5. Let m = -1 - 2. Which is the biggest value? (a) -5\/4 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {q: 2, l: 3, z: 1, t: 3, i: 1, v: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 373*x**2 + x - 373.\nAnswer: -(x - 373)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvvvvvkkkxvmm. Give prob of sequence mvxk.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-2)\/(-3)). Let h = 9\/4 + -89\/36. Let k = -81 - -731\/9. Which is the third smallest value? (a) q (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - s - 8. Let w(g) = -g**2 - 2*g - 7. Suppose -5*b - 2 = -12. Let y(c) = b*m(c) - 3*w(c). What is y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1\/662 (c) -0.5 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 20*c**2 + 91*c + 107. Give r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59823462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 16. Let n be (-3)\/(v + 23\/(-5)). Suppose -f = -4*f + 9. Solve -f*d - 2*d - n*o + 20 = 0, -5*d - 3*o = -10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*b + 8 = 0, -w + 5*b + 6 = b. Let n(d) = -7*d + 2 + 3 + w. Let i(r) be the first derivative of -13*r**2\/2 + 13*r - 44. Give -6*i(p) + 11*n(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 36. Let m = v + 40. Let a(t) = -t**2 + 3*t + 1. Let x(f) = -6*f**2 + 15*f + 6. Give m*a(l) - 2*x(l).\nAnswer: l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 51. What is the smallest value in 0, 1\/9, 3, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*w - 8680 = 3*w - 47*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - (36\/38)\/(1310\/(-12445)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - u + 34 = 41, 2*m - 2*u + 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:47 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2337 - -0.2537. Suppose 5*z - 15 = 2*z. Which is the nearest to o? (a) -2\/3 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, -1920, -3, -15 in increasing order.\nAnswer: -1920, -15, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -39*b**2\/2 + 25*b + 17. Let t be s(-17). Suppose -2*o - 6*o = -t. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8186 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39403 or -39402?\nAnswer: -39403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -944 by -1.\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9374 - -13790. Is j a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 5*f**2 + f - 6. Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 265, 253, 225, 175, 97?\n\"Answer: -y**3 - 2*y**2 + y + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-4 - sqrt(77))*-2*1)\/(-1*sqrt(35)\/(sqrt(35)\/sqrt(7))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 + 5*s - 2. Let f be z(3). What is the units digit of (0 + 1)*(2 - f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -115698*g + 14. Let x be m(-4). Suppose -i - 8 = -5*i. Suppose i*z + x - 1242806 = 0. Round z to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 401*n - 72571. Give j(-135).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let r be s(3). Suppose r*i - 5*m = 10520, -m + 20 = -6*m. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 10\/3.\nAnswer: -6, 1, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5397 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446, 889, 1332, 1775?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-5) - (-83)\/(-20) and (344\/(-1548)*18\/56)\/(14\/3577)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17739 divided by 5913\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 13*w**2 - 11*w + 10. Determine k(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/5)*v**(-4\/5)*(v\/(v*v**0)*v)**(-8)*(v**(-5)\/(v**(2\/9)\/v))**(-32) assuming v is positive.\nAnswer: v**(5666\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 6*v**2 - 10*v + 12. Give z(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*r)*(-4 + 5 - 3) + ((0 + 5 + 1)*(-9*r + 16*r - 10*r) - 5*r + 2*r + r)*(1 + 1 + 2) in the form p + q*r and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*y - 5. Suppose -j = 2 - 5. Let n be y + (j\/1 - 4). Put -7, n, 4 in descending order.\nAnswer: 4, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -1, -76\/3 in descending order.\nAnswer: 1\/11, -1, -76\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 - 13 + 13 + 3*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (3*sqrt(1300) - sqrt(1300) - sqrt(1300)))\/(sqrt(2156)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/52, 1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebr when three letters picked without replacement from {e: 1, b: 8, r: 6}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 411312510 (base 6) to base 5\nAnswer: 3302222143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58247 * -32.\nAnswer: 1863904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 61 (b) 7876 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/91087 - -10289975\/43357412. Find the common denominator of a and -107\/170.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(17) + 1 + -5 - (-3 + (sqrt(17) - (sqrt(51)\/sqrt(3))**2)).\nAnswer: sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 19*v**2 + 243*v - 572. Determine n(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*n + 3 = -127*n - 4*q, -3*n = 8*q + 31 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 - (-49 + 41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, 2022, 1 in increasing order.\nAnswer: -7\/3, 1, 2022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a8 - 37?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1222*a**2 - 1565*a**2 - 2022*a**2)*(2 + 1 - 1).\nAnswer: -4730*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.2 and 5033?\nAnswer: 21138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 52\/((-1248)\/1080).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x\/x**(2\/9))\/x)\/x*x)\/x*(x\/x**3*x)\/x)\/(x\/x**1)**(2\/39) assuming x is positive.\nAnswer: x**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -0.0077 (c) -53.8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4370380 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: What is -286 + 262 - ((5 - 2) + -7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -4, 10211, -282, -2 in decreasing order.\nAnswer: 10211, 30, -2, -4, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + j**2 + 995. Let y be w(0). Suppose 0 = -5*n + 4720 - y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100011 (base 2) to base 11.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/7770)\/(67\/1407).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40330 - 213130 = -64*n. Is n a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11923783\/6166710 + 24\/31145. Let x = r - -21\/22. Calculate the common denominator of -47\/35 and x.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/5, 33.3, 27\/4?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 32*r - 8*r - 12*r - 5*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (27\/12)\/(-9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a factor of 3293122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -36*p + 3. Let d be l(4). Let v = -321 - d. List the prime factors of 4\/(-22) + v\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 + 0*t**2 + t**2)*(-1 + 4 - 2) - 5*t**2 + t - t + (0 - 3 + 1)*(-5*t**2 + 5*t**2 + 2*t**2) as y + o*t + b*t**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**24)**(2\/9) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 5118, -1, 48 in decreasing order.\nAnswer: 5118, 48, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1608 and 31\/72258696.\nAnswer: 72258696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2706, -4, 0 in decreasing order.\nAnswer: 2706, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/915? (a) 5 (b) 3 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*y - 179*y + 1516 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaeq when four letters picked without replacement from {i: 1, m: 8, h: 1, e: 3, a: 2, q: 1}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -756 + 126. Suppose 2*m = 5*m - 114. Suppose 3*k = -u + m, 0*u - 2*u = -2*k + 36. What is the greatest common divisor of b and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64637459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 37. Let f be t(15). Let l = f - -36. List the prime factors of (-150)\/l + (-20 - -19).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004309 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 divided by 579?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44524505*y**2 + 248381720 wrt y?\nAnswer: -89049010*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 17*d**2 - 2. Suppose 16*i = -2195 + 2227. Let g(v) = -1121*v**2 + 133. What is i*g(j) + 133*t(j)?\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-256)\/(-24)))\/(12\/560*7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -224\/5731 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let s(g) = -449763413*g**2. Determine b(s(d)).\nAnswer: 404574255346817138*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13 + 15 + (0 - 10)\/(-1). Suppose -g = 6*b - 7*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1627, 4, 3, -2 in descending order.\nAnswer: 1627, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 18*g + 17. Let n be f(13). Is n < -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 20*p - 32. Let h be y(12). Let g be (-6)\/(-24) - (42\/h - 2). Put 1\/5, -5, 0, g in increasing order.\nAnswer: -5, g, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -3, -121, -4, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -174*y. Let i(k) = -241*k. Calculate i(x(f)).\nAnswer: 41934*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*q + 417 - 4109 = q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 90\/42 - (-20)\/(840\/(-114))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2838024 and -59\/488?\nAnswer: 173119464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:57 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/((429\/(-572))\/(3\/(-20)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/4 - 2*c**3 - 6*c**2 + 7*c + 23. Is 33 a factor of w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -32, -50, -70, -92, -116?\n\"Answer: -b**2 - 13*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) 0.026 (c) 1\/4 (d) 1 (e) -0.47 (f) 412.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75645 is divided by 4727?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 24 + 11 = 0. Solve 4*k + o*m + 10 = 0, 0 = k - m - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/21249 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26883633 - 1538.\nAnswer: -26885171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -94, -111, -126, -139, -150?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7203\/35 + (-1)\/(-5). Let l = s - 2676\/13. What is the closest to 0 in l, 2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*v**2 - 14*v**2 + 34*v**2)*(v**3 + 15 - 39 + 22).\nAnswer: 45*v**5 - 90*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-2 + (-92)\/(-3)). Let m = 27 + w. Let l = 1433 - 1432.87. Which is bigger: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(15) - sqrt(60)*4)\/(5*sqrt(5)*-1) + ((-1 + 1*sqrt(108))**2 + sqrt(108) - 3*(sqrt(108) + 0))).\nAnswer: -654 + 678*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s + 165. Determine j(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 189, 266, 313, 318?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*n + 114, 2*s - 52*n + 48*n = 108. What is the remainder when 4084 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 - 6*x + 7. Determine r(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 take away -235.708926?\nAnswer: 569.708926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 54 = -k + 5, -127 = -2*k + y. Let s be -4 - 3\/(3 + k\/(-20)). Let 8*z - 12*z**4 - s*z**4 + 24*z**4 + 12*z**2 = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:17 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 2635 + 2586 = -4*t, -2*u = u + t + 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -27 + 5*1\/1. Let v(p) = -3*p**2 + 1. Let n be v(-1). Let u be i\/24 - n\/8. Is u != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 36146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 26 - 21 - z + 0*z**4 to the form h*z**2 + w*z**4 + o*z + l + m*z**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*1)\/(45\/6). Let l(r) = r**3 - 2*r**2 - 7*r + 8. Let w be l(3). Sort -3, w, h in decreasing order.\nAnswer: h, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 - 22060*q + 24332180 = 0?\nAnswer: 2206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32105717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119504 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 32 = -0. What is the first derivative of 3*d**3 - 5*d**3 + n - 7 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y = -282880 - 55396 - 68074. List the prime factors of y.\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 802 - 809. Let j(h) = -6*h - 14. Determine j(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110100100001111010 (base 2) to base 14\nAnswer: -585aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.024 - -5767633287.\nAnswer: 5767633286.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 122*d - 214. Let u be c(-41). Sort u, -3, -5 in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 47*o**2 - 13*o - 13. Let k(s) = 8*s**2 - 2*s - 2. Determine -39*k(q) + 6*n(q).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -83, -153, -221, -287, -351?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 - -311. Let i = x + -439\/3. Calculate the common denominator of i and -109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 64 = -2*z, -106 = -13*z + 297618*f - 297615*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18185 by -10901.\nAnswer: -18185\/10901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 8394\nAnswer: 119\/8394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**4 + 45 + 5921*j**2 + 87 - 5897*j**2 - 48*j**3 + 208*j = 0.\nAnswer: -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/5, -1\/4, -2\/5 in increasing order.\nAnswer: -2\/5, -1\/4, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6069*z**2 - 193195*z**5 + 310*z**2 + 188769*z**5 wrt z?\nAnswer: -265560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 5. Let x be l(3). Let i be 0\/(-6*x\/(-12)). Suppose 4*z - 8 - 4 = i, 3*z = 2*d + 1260009. What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4\/9, -504, -3\/5 in decreasing order.\nAnswer: 6, -4\/9, -3\/5, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -449 and 23941.\nAnswer: -10749509","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(176) - 6*3*sqrt(176))*5)**2 + -2).\nAnswer: -7629588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {b: 5, x: 4, y: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 10. Let l be m(-6). Solve -l*x + 4 - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 x when four letters picked without replacement from {r: 16, x: 4}.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 7. Let m be l(-4). Let d = -3 + 5. Let n(q) = 5*q - d*q + q + m. Let h(f) = 9*f + 7. Determine -3*h(x) + 7*n(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -49*u + 12. Let g be k(-4). Let t = g - 206. Solve t*z + 5 = -1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497871 divided by -5029\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39657 + -21413. List the prime factors of m.\nAnswer: 2, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) 1531 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025 = -138*a + 79 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -305459\nAnswer: 7\/43637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(-5*(sqrt(392) + -1 + 1 + sqrt(392)))**2*-1.\nAnswer: 156800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*c**2*u**3*y*z**3 - 2*c**2*u**2*y*z**3 - 2*c**2*u**2*z + 2*c*u**2 + 307*u**3*y*z**3 + 14*u*y*z wrt u.\nAnswer: -90*c**2*y*z**3 + 1842*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w - 2. Let x = w - 3. Suppose 2*a = -x - 3. Let g(s) = -s**3 - s**2 + 3*s + 1. Calculate g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/84)\/(6\/(-21)) - -40*(-20)\/(-1050).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*0\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 - 16*u**2 + 6*u + 17. Let h be t(-17). Suppose -2*k - 959 = -j + 2793, -4*j = 5*k - h. Suppose 0 = -9*n + j + 9857. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93215 (base 15) to base 3.\nAnswer: -212200112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155703949591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11234 * 16\nAnswer: -179744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*y + 11 = 0, -2*k + 4*y - 2 + 6 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 - 2*n**2 - 5*n**2)*(67 + 2*n - 21 + 21) to y*n**3 + m*n**2 + t*n + d and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 272764, 272765, 272766, 272767, 272768, 272769?\n\"Answer: i + 272763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -28. Calculate the lowest common multiple of 14 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.73 + -55.03. Let n = 0.2 + 0.3. What is the second smallest value in n, -5, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let o(j) = 22150823*j**2. What is c(o(h))?\nAnswer: -981317919154658*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/7)\/((-8)\/1120*-10). What is the second derivative of -r + 6 + 23*c**2 - c**3 + 29*c - 9*c wrt c?\nAnswer: -6*c + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**2\/2 + 18*v + 3. Suppose 0 = -4*k - u - 21, 2*k + 6 + 0 = 4*u. What is the units digit of b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 - 10\/3*s**3 + 4*s**2 - 3*s. Let p be b(7). What is p rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 - 71 - 76 + k - 114 + k + k - 104.\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6796241 minus -0.3209?\nAnswer: 6796241.3209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 + 5*u + 4. What is q(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 6 = 3*p, -22 = 2193*d - 2197*d - 2*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h**1*h*h*h))**(-2\/17))**(1\/48))**(-23))**(-1\/62) assuming h is positive.\nAnswer: h**(23\/6324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 76, 3\/335, 2, -2\/9, 3, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222338 is divided by 1039?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**4 - 214*o**3 - 1110*o**2 - 2050*o - 500.\nAnswer: -2*(o + 5)**3*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000712210217 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8055.817 micrograms in tonnes?\nAnswer: 0.000000008055817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**3 + 0 + i - 62*i**3 - 1 + 4*i**2 + 5*i**3 + 3 as z*i**2 + k*i**3 + x + p*i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1236 + -1235. Which is the third biggest value? (a) 3 (b) x (c) -1958\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s**2 + 4*s + 6. What is i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 12111110222?\nAnswer: -12111110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 931691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2 (c) -15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6558794 and 952083.\nAnswer: 59029146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -216*f**2. Let m(c) = -56*c. What is q(m(o))?\nAnswer: -677376*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8212 >= 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-28) + 22\/168. Put m, 2\/51, -0.1 in increasing order.\nAnswer: -0.1, 2\/51, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4330 + 2?\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.6. Let c = 841488.2000003 + -841488.8. Let b = c - j. Round b to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101, 112, 123, 134, 145?\n\"Answer: 11*m + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53284 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -238, -4.\nAnswer: -238, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + 2*n**4 + 14*n**4 + (3*n**3 - 5*n**3 + n**3)*(2*n - 2 + 2) + 0*n**4 + 28*n**4 + 8*n**4)*(2 - 3 + 3).\nAnswer: 100*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 2*a + 3*a)*(1 + 2*a - 1) - 9*a**2 + 10*a**2 + 30*a**2 - a**2 - 2*a**2 + a**2 in the form m*a + z*a**2 + w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/96740 and 79\/425656.\nAnswer: 2128280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (4 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34525 by -1381.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - x - 2*x)*((-3 - 2*x + 3)*(3 - 4 - 1) - x - x - x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 3*h**2 - 5*h**2 + h**2. Let x(z) = 2*z. Calculate k(x(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28342.\nAnswer: 2, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 35*w - 33*w. Solve w*i - 15 + 1 = -4*h, -4*h + i + 5 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fccfffffffffcfffffff.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n - 7*n + 15 - 4*n + 10*n. Does 20 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l + 531 = 12*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.3 - -8.3. Which is the closest to 1? (a) -6 (b) 4 (c) 0.2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1169426*c**3 - 93826*c wrt c?\nAnswer: -7016556*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 11:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*p**2 - 11 + 5 to h*p**2 + t + a*p and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpwwywp. What is prob of sequence wwm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(3*t - 5*t + 0*t) + (-1 - 2 - 1)*(1 - 5 + 2)*(0*t + 2*t - 3*t) to j*t + q and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1333*o - 1331*o. Which is smaller: -127 or o?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2029825 divided by 5.\nAnswer: -405965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628 - 0 - ((-128)\/16 + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:19 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64634 is divided by 32280?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 109*l**2 + 113*l**2 - 2*l**3 - 29*l**3 - 5*l**4 + 6*l**4 - 5178 + 320*l + 4666 = 0. Calculate l.\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x. Suppose -l + 4*s = 5*s - 4, -5*s - 16 = -4*l. Let b be 4\/(-14) + l\/14. Let r(m) = b + 1 - 1 - 2*m. Calculate z(r(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 3. Let n be q(8). Let l be 3\/2*60\/(-9). Let u = l - n. Calculate the lowest common multiple of u and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.051 equal to 4378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -50. Suppose 3*p = 5*y - q, -2*y - 2*y + 32 = -5*p. Suppose 97*m = 78*m + 321*m - 1208. Solve y*n + m = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (-3 + 5*-5*(-1 + sqrt(833) + 2 + sqrt(833)))**2).\nAnswer: 78400*sqrt(17) + 8333144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u + 0*u + (0*u - 2*u + 9*u)*(-28 + 73 - 34) + (6*u - u - 3*u)*(-1 - 2 + 1).\nAnswer: 74*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -364\/837 + -14927\/53568. Find the common denominator of i and 97\/216.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.499 + 0.412. What is p rounded to 2 dps?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8d (base 14) in base 13?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16695, -3, -2 in increasing order.\nAnswer: -3, -2, 16695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 2. Let w(d) = -38*d**3 + 3*d**2 - 2*d + 4. What is 2*h(t) - w(t)?\nAnswer: 38*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h + 0*h)*(2*h**2 + 19*h - 19*h)*(3 + 1 - 6) as l + o*h + x*h**2 + i*h**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-8 - -1) - 1. Suppose -3*c - 82 = a, 0 = -w*c - 5*a + 7 - 105. Let g = c - -36. Solve g = l + l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*f**4 + 136*f - 320*f + 96*f - 25*f**4 + 126*f wrt f?\nAnswer: -888*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 343*i**3\/3 + 2741*i**2\/3 - 1037*i + 9 = 0?\nAnswer: -9, 3\/343, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(6\/8))\/(131\/(82530\/40)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*j + 57*j + 288 = -8. Solve j*g - 3327 + 3341 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 50982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -39 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -472*c**2 + 176*c + 71. Let k(b) = -118*b**2 + 48*b + 18. What is -11*k(p) + 3*v(p)?\nAnswer: -118*p**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 + 12 = 0. Suppose -p*y + y - 16 = 0. Is 10 a factor of (y\/5)\/((-2)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5 = 7. Do h and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/53 (b) 1\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*w - 1 = 0, -4*i - 4*w + 12 = -0*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32016, -64504, -96992?\n\"Answer: -32488*z + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v, 30 = -0*c - 5*c - 5*v. Let m = c - -6. Suppose m = 2*x - 7*x - 3*a + 75, 5*x = -4*a + 80. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1170\/104 - (-10)\/(-8). Let f be 6 - (-6 + q\/(-5)). Solve 0 = -4*a + w + f, -w - 6 = -4*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -401, 5\/2, 6, -0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -317105 + 3?\nAnswer: -317102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29\/4 - 23\/4. Let f = 6 + -3. Which is bigger: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxosuhsoeooe. Give prob of picking 1 u, 1 e, and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from papaaaaaaapa. What is prob of sequence aaa?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 220. What is the remainder when k is divided by 585\/21 + (-72)\/84 + 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*t + 490 - 1056 + 481 - t**2 in the form y*t + l*t**2 + o and give o.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = -l + 7, 5*l + 19 = -2*c. Let j(w) = -3*w + 3. Suppose -17 = -4*u - 3*b - 2*b, 2*u - b = 5. Let n be j(u). Is n > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 19*s - 242. Calculate the remainder when 14 is divided by l(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 1.5.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttmtmmymmmmyy. Give prob of sequence yt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - 34)*-11*(-15)\/2310 and 2*2\/(-16)*-15?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q + 3*l + 8843 = 0, -4*l + 17696 = 4*q. Let d = -2206 + q. Let f = d + -35389\/16. Find the common denominator of -59\/12 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521830.\nAnswer: 2, 5, 52183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 14) to base 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by -2 + 2 + 0 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42177593 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-19 + 12 + 13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -20. Suppose 1 = -3*h - f. Which is bigger: -2\/159 or h?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18360, -18350, -18328, -18294, -18248, -18190, -18120?\n\"Answer: 6*m**2 - 8*m - 18358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149 - -180. Solve 5*x - j = -26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*n**3 + 9*n**2 - 73*n**2 + 24*n**3 to j*n + w*n**2 + r*n**3 + m and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -114, -132, -150, -168, -186?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*b = -b - 13, 10 = -5*u - 4*b. Suppose o - 3*q = -u*q + 6299, 4*q = -16. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969800 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 50*m - 453 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14*((-54)\/12)\/9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -618, -605, -566, -489, -362, -173, 90, 439?\n\"Answer: 2*o**3 + o**2 - 4*o - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5bad246 - -5?\nAnswer: 5bad24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, f: 2, i: 2}. What is prob of picking 1 w and 2 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -458? (a) 5 (b) 0.043 (c) 2\/5 (d) -2.9 (e) 2\/17 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.37243519 rounded to one dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 1. Let k(h) = 2*h**2 - 2*h + 121. Determine -k(m) - 2*u(m).\nAnswer: -2*m**2 - 2*m - 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278a738 (base 12) to base 2.\nAnswer: 11110001000001110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i*i)**(1\/2)*(i\/((i\/((i**1*i)\/i*i))\/i))**(-26\/5))**(-2) assuming i is positive.\nAnswer: i**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + k**2 + 3. Let w be t(0). Suppose -3*f + 5*f + w*y - 417 = 0, -2*f + 407 = 5*y. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -42*u - 3129. Let r = 196 + u. What is the remainder when r is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 4*o - 4. Let x = 2 + 0. Let n(w) = 2*w**2 + 3*w + 3. Let j be -3 + 65 + 0\/((-3)\/1). Let y = j + -59. Determine x*t(g) + y*n(g).\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + 18. Suppose k - 5*k = -m. Suppose k = -5*w + 46. Solve 0 = -4*j + 22 - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 17 = -5*r, 2*r + 2*s + 2*s = -14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3\/(-2))*(-48)\/72.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -12, -4, -27, -3 in ascending order.\nAnswer: -27, -12, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -95195?\nAnswer: -19039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -11. Let u(y) = 5*y - 6. Suppose 0 = -3*p - 9. Let a(k) = -5*k + 5. Let x(n) = o*a(n) + p*u(n). Differentiate x(t) with respect to t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 3*x**2 + 6*x - 8. Let c = 33 + -29. Let k be a(c). Solve 5*z + 5*i + 30 = 0, -2*i = -5*z - k*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2))\/(y\/y**(-3\/8)))\/(y*y*y\/((y**0\/y)\/y*y*y)*y)**5*(y**(-4)\/y**1)\/(y**(1\/8)\/(y\/(y*y**(-1)*y*y))) assuming y is positive.\nAnswer: y**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1591*s**3 - 4*s**2 - 2554850.\nAnswer: -4773*s**2 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2210190*s - 4414754 wrt s.\nAnswer: 2210190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2.9. Let u = 8 + -4. What is the closest to s in -0.4, -2, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 a when three letters picked without replacement from {e: 1, o: 3, k: 1, a: 2, y: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -125, -153, -181, -209, -237?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 7*y - 3*y - 17, 0 = 3*v + 4*y - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 10880?\nAnswer: 11004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(190)*-2)\/((sqrt(20)*1)\/sqrt(2)) + 5)*6)**2 + -5.\nAnswer: 720*sqrt(19) + 3631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and -0.15064.\nAnswer: -0.14064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23*-9)\/(-3 - -4). Let x = n + 1031\/5. What is the biggest value in 2, -2\/3, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**21*f**(-7))**(-1\/23))**23)**(2\/3) assuming f is positive.\nAnswer: f**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2 = -3*t + 8, -4*u - t = -9. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j - 29. Let c = 4 + -13. Suppose 0 = 5*g - 24 - 16. What is the lowest common multiple of x(c) and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 661560 by -330780.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -115, 1658, -4, 15.\nAnswer: -115, -4, 0, 1, 3, 15, 1658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45148313821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - v - 8*v**3 - 3*v + 4*v**3 + 5*v**3. What is the lowest common multiple of q(2) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from juqjqzjuqjyeuu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*j + 13496 = 329*j - 18312 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 3*m**2 + 3*m**2)*(-m + 14 + 0*m - 13).\nAnswer: -m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.458 + 1301.161. Let q = 1356.69199816 - k. Let g = q + -0.073. What is g rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + c + 0 + 1)*(-948 - 6426 - 1687 - 856)*(0 + 1 + 1) to p + g*c and give g.\nAnswer: -19834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -161399 and -247 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 190*s - 12. Let w(n) = -3*n + 3. Let f(q) = -g(q) - 4*w(q). Let j(h) = 11*h**2. What is j(f(z))?\nAnswer: 348524*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5703 (base 8) to base 2\nAnswer: -101111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 52 = 147. Sort a, -58, -2, -5 in descending order.\nAnswer: a, -2, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999558841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*s + 175*s = -128 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/81*1\/(-2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**2 + 0*o**2)*(0*o**2 + o**2 + o**2) + o**4 - 3*o**4 + 5*o**4 + 7241778 - 10085*o**4 - 7241778.\nAnswer: -10084*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109\/35 - -17\/5. Suppose -10 = -4*m - 2. Which is the smallest value? (a) l (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -74. Let n(u) = 3*u**2 - 5*u + 2. Calculate n(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqh when three letters picked without replacement from jjhujljqqqljqqujjlhr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 42. Solve -2*i = 4*m - i - 1, -4*i + c = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.6, -2, 130\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.7361 nanometers to millimeters.\nAnswer: 0.0000847361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 535068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 640053*g\/2 - 1920213.\nAnswer: 3*(g - 6)*(g + 213357)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 13*x**2 - 49*x - 14. Let y be n(-16). Let s(k) = -33 - 8*k + 32 + y*k. Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 10. What is t(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2078*t - 3*g - 33 - 5 = 2080*t, 0 = 5*t - 2*g - 38 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 - 2*z**5 + 3*z**5 + (0*z**4 + z**4 - 3*z**4)*(-z - 2*z + 4*z) + 5*z**4 - 5*z**4 + 4*z**5 + 20*z**5 - 54*z**5 - 53*z**5 - 2*z + 2*z**5 + 2*z.\nAnswer: -84*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/5760606 and 47\/8?\nAnswer: 23042424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-6)\/63 - ((-6193)\/(-462) + -15) - 10)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102222000000 (base 3) to base 9\nAnswer: 388000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 19*g**2 - 18*g + 16. Let a(d) = 52*d**2 - 52*d + 46. Let i(t) = 4*a(t) - 11*m(t). Let w(h) = h - 1. Let s be w(-8). Determine i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1869 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.1707224?\nAnswer: -0.01707224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 1. Let h be d(1). Let z be (-5 - (-6)\/h)*-1. Let o be (z\/2)\/((-21)\/(-14)). Let n(v) = 2*v**2 - 2*v + 1. Determine n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -5 (b) -6\/19 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + n, -5*y + 10 = -4*n - 1. Let h be -2*(2 + y) - 3399998. Round h to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 4)\/((-53)\/1961). Let d(f) = f**3 - 4*f**2 + 2*f + 7. Let x be d(6). Let a = x + -53. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, 15, -0.1 in descending order.\nAnswer: 15, 2.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3796, 3755, 3698, 3631, 3560?\nAnswer: 3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -67.3. Which is the closest to 0.4? (a) 3 (b) i (c) -1\/10 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*w + 820*w = -40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82267?\nAnswer: 82267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 94, -5\/6, 1, -3, -2?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -31. Let h be (5\/(-1) + s)\/1. Let k = -11.023 + 0.023. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5069*a**3*h**2 + 3*a**2*h**2 - 253*a**2 - 2*a*h wrt a?\nAnswer: 30414*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 69\/322*4\/(-3). Sort -3\/2, 7, k.\nAnswer: -3\/2, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -92, -310, -726, -1406, -2416?\nAnswer: -3822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -1.206\nAnswer: -22.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*(4995\/150)\/(-37)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 21 = 2*w, -392 = -7461*w + 7497*w + 4*n for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 11*1125910\/(-10). What is l rounded to the nearest 10000?\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 709054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122771867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*r**3 - 244*r**3 + 753*r**3 - 42 - 252*r**3 - 57 to f*r + d + q*r**2 + p*r**3 and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*z + 10*z**4 - z + z**2 - z**2 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + r - 2*r)*(1 + 0 - 3 + 6 - 1 - 4 + (2 - 1 - 3)*(0 + 2 + 0) + 2 + 0 + 1)*(5*r + r - 2*r) to j*r + d + q*r**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 372, 813, 1426, 2211, 3168?\nAnswer: 4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 4*o + 4. Let i(t) = 11*t**2 + 7*t + 10. Calculate -2*i(k) + 5*z(k).\nAnswer: 8*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 403 = -z, -2*c + 252 + 26 = 3*z. Let x = -223 + c. What is x rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((12\/(-10))\/2)\/(3\/(-15)). Suppose -2*x + 2*w - 145 = -3*x, -x + g*w + 155 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 5 + 1\/2*m**2 - 3*m. Give c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7421 or 1\/2?\nAnswer: 0.7421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*l**2 + 55*l**2 + 21*l**3 + 61*l**2 - 23*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2*g - 1. Let l(u) = 9*u**2 + 8*u + 11. What is 4*h(s) + l(s)?\nAnswer: 5*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/385, 0.06, 19\/5?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwdddwddw. What is prob of sequence wwd?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 98. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a day in minutes?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-84))\/((-12)\/14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, m: 1, e: 2}. Give prob of sequence emse.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214074 is divided by 133?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 11*m + 15. Give h(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513407979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900696 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**2 + 134 + 78 + 0*o**4 - 6*o**2 + o**4 - 36 to c*o**3 + r*o + z + f*o**2 + t*o**4 and give z.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 160, 342, 604, 952, 1392, 1930, 2572?\n\"Answer: u**3 + 31*u**2 + 8*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 24*c**2 + 133*c - 20. Let u = 0 - -7. What is the remainder when p(-15) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(13\/2))\/(6\/(-6)*19)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 948 (b) 1\/4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3919?\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q + 648 = 546 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 + 6422847*w - 19268568 = 0.\nAnswer: -2140952, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s - 34*s = -12 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 19. Let g(n) = -n**2 - 7*n + 84. Let h be g(6). Sort q, 3, h in ascending order.\nAnswer: q, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6791970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(sqrt(7) + (sqrt(7) - -2*sqrt(7))) - (sqrt(567)*1 + 1) - -1*(-5*(sqrt(343) - (sqrt(343) + 1)) + (sqrt(343) - 2*(sqrt(343) + -1))))**2.\nAnswer: -320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/7 - 6365*z**2\/7 + 69868*z\/7 + 165204\/7 = 0.\nAnswer: -2, 13, 6354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 7*n**8\/192 + 5*n**7\/24 - 575*n**6\/48 - 125*n**5\/24 + 203125*n**4\/96 - 528125*n**3\/24 - 798*n**2. Factor j(k).\nAnswer: (k - 5)**3*(7*k + 65)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (428 - 1)*22\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 41 = -4*h, 318 = -5*r + 293 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/20 - l**4\/3 + l**3\/2 + l**2\/2 - 3*l. What are the prime factors of k(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -2.03996114?\nAnswer: -0.407992228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2534, 1239, -928, -3967?\n\"Answer: -436*q**2 + 13*q + 2957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 139 - 103 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**4*f)\/f*f)\/f*f**6)\/(f\/f**(-4\/3)*f**(1\/4)))\/((f**(-2\/3)*f)**(-5\/7)*(f\/(f\/(f\/f**(-2))))**(19\/2)) assuming f is positive.\nAnswer: f**(-2339\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 26. Let i be l(-8). What is the greatest common factor of 15 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025914 to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-8 - (-7 - 6)) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from mbzbpgbybbb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2860*i - 21. Let d be f(1). Suppose 5*m + 7*w - 5*w = 3543, 4*m - 3*w - d = 0. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*f**2 + 132*f**2 - 2*f - 261*f**2 + 96 to r*f + c + p*f**2 and give c.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k**4\/2 - 2976*k**3 + 4257*k**2\/2 + 851*k = 0 for k.\nAnswer: -851, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2)*96\/18 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/629 - (-1216)\/136. Let g = 9 + -4. Suppose -g*n = -36 - 14. Are n and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6464, 42, 0.2, 0.1, -3 in decreasing order.\nAnswer: 42, 0.2, 0.1, -3, -6464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.580644542 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34551.8 and 15508?\nAnswer: 19043.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 11*f**2 + 12*f - 3. Let h(x) = -3*x**3 + 32*x**2 - 35*x + 10. Let b(k) = 3*h(k) + 8*y(k). What is the remainder when 94 is divided by b(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (12 - 0 - (104 - 103)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 4 (c) 0.1 (d) -32 (e) -69 (f) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1209 + 1209 - 41*o**2 - 85*o**2.\nAnswer: -126*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.83 to one decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -0.6. Let g be 318\/27 + (-4)\/(-18). Let l be (-2)\/g - (-2)\/(-4). Which is the closest to s? (a) 0.3 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.106529 rounded to three decimal places?\nAnswer: -1.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 360*j**3 + 358 wrt j.\nAnswer: 1080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 370 - 243. Let m = 58 + q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23993 = -14*z + 24035. Solve 0 = 2*d + i - 8, -z*d - 11 = -5*i + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76 and 1247472825.\nAnswer: 1247472901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukeeqeqegueue. What is prob of sequence kgeu?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + (-3 + sqrt(147) - sqrt(147)) + sqrt(147) + -2)*-1)**2.\nAnswer: -140*sqrt(3) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133961822 - -9.\nAnswer: 133961831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 158, 139, 124, 113, 106, 103?\n\"Answer: 2*g**2 - 29*g + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24193*z - 9504*z - 3 + 1.\nAnswer: -33697*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1369*n + 30. Is c(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1883034\nAnswer: -2\/941517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*i - 130, k = -3*k + 3*i - 246. Let u be (3\/4)\/(k\/24). What is the closest to -2 in -0.4, u, 2.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*g - 46*g + 111*g)*(-15 - 3*g + 15).\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 527.1\nAnswer: -316.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313918, 310903, 307874, 304825, 301750, 298643, 295498, 292309?\nAnswer: 289070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*m = 9, m = -3*w + 2*m + 3. Suppose 4*t + t - 765 = w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*3\/1. Suppose 2 = 2*b, t*n + 0*n = -b + 9. Let d = -10 + 13. Solve -7*y + d*y = -n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2. Let j = -110 - -110. Let r(t) = 8*t - 2*t - 5*t + j*t. Calculate r(d(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3823 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512004501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18160?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**3 - j**2 - j + 2. Let p(r) = -1400*r**3 - r**2 - 2*r + 4. Calculate p(q) - 2*z(q).\nAnswer: -1406*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1652 (base 9) to base 16.\nAnswer: 4ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -z - 17, 0 = 2*b + 2*z - 13 + 17. Suppose f - 5 = 0, -2*f + 3*f = -b*r + 20. Solve -2*a - 3*i + 10 = 0, 0*a + a + 2*i - r = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 3. What is the smallest common multiple of p(-5) and 0\/2 + -2 + 17?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 5050413?\nAnswer: 5050404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.38450038541 + -2.3845. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 485 = -2*a + 1335, 3*y - 3661 = -4*a. Suppose 6*g - a = 53. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5234410 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3904\/9 in -14, 0, -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115*o**4 - o**2*r + 4*o - 1202*r wrt o?\nAnswer: -460*o**3 - 2*o*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*k**3 + 5*g*k**2 - g + 229*k**4 - 62*k**3 + 2*k**2 - 2357*k wrt k?\nAnswer: 12*g + 5496*k - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**5 - 40*w**4 - 10*w**3 + 260*w**2 + 365*w + 140 = 0.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128723, -128373, -128021, -127667, -127311, -126953?\n\"Answer: d**2 + 347*d - 129071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48380 and 885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*i. Let z be (-2 + 5)\/(18\/60). What is the highest common factor of z and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67763 is divided by 21743?\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(19) + -1*sqrt(2736) - 1*(sqrt(19) + sqrt(475)))**2 - ((sqrt(684) + -1)*-2 + sqrt(684) - sqrt(684) - sqrt(684) - -4*(sqrt(684) + -1))**2).\nAnswer: 24*sqrt(19) + 4807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-26)\/6)*(-1)\/(((-110)\/3)\/22)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4522747.\nAnswer: 4522747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10310767202*u**5\/13 + 154663805662*u**4\/13 - 494951290304*u**3\/13 - 659778812672*u**2\/13 + 147042304*u\/13 - 8192\/13 = 0. What is u?\nAnswer: -1, 8\/71801, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 21. Which is the third biggest value? (a) -2\/9 (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:16 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1392 = -2*i. Let v be i\/(-18) - (-6)\/27. Suppose -3*a - 3*p + 54 = 0, -5*a + v = 2*p - 61. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 45 + 3 = 0. Let q(k) = -k**2 + 9*k - 5. Let d be q(6). Let t = w - d. Calculate the smallest common multiple of 3 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 4*d + 1. Let h be q(4). Suppose 4*r - 63 = -l, l + 4 = -h. Suppose -4*c = 3*t - 118, -5*c = -3*t - r + 126. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5*p**2 + 2\/5*p**3 + 84\/5 + 22*p.\nAnswer: 2*(p + 1)*(p + 6)*(p + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/294*(-2 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -4*p - 5*b, -1240*p + 105 = -1262*p - 9*b - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t + 3. Let o be c(-1). Let z = -1148 + 2294. Let n = z + -5697\/5. Is n at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 225, -2, -5, 1.4, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4 - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let r(h) = h - 1. Let p(n) = 11*n - 5. Let b(m) = -p(m) + 5*r(m). What is s(b(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2157, -1709, 0?\nAnswer: -1709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 4. Suppose 0 = -5*g + 15 - 5. Suppose -g*x + 2 = -n - 5, -4*n - 5*x = 15. Is d(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/12, 82732?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.9 - 5. Let n = g - -0.18. Let q = n - -0.02. Which is the nearest to q? (a) -1 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 0*j - 9*j + 7*j. Let s(r) = -3*r. What is s(o(w))?\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51570, 102958, 153998, 204516, 254338?\n\"Answer: -29*i**3 + 51591*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 81*g**2 - 445*g + 1341. What is w(3)?\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhhhhjjjhhjhjhj. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*d - 6*z + 2, z + 6 = 5*d. What is the highest common factor of 15 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -1.3. Which is the third biggest value? (a) -3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 222. Let x be 35\/(-45) + 1 + h\/(-18). Find the first derivative of 0*m + 26 - 23 - 25 - x*m wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - 12. What are the prime factors of (i + -10)*(-4)\/3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-8))\/(18\/(-1344)). Let k = a - 281. Let w = -65 - k. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 8855.\nAnswer: 38\/8855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 1722509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + (-1 - 12 - (-62 + 20 + 25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 1035137735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -2)*12\/20. Is a\/((-24)\/(-21) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-35)*63\/(-784)*-70\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 4. Let n be t(-3). Let h be 7\/((5\/n)\/5). Suppose -k + 13 = 3*s, -4*s + 11 = -k + s. Solve 6 + h = k*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -1\/4*m**4 + 34 - 3*m**2 + 5\/3*m**3 + m. Determine u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1405 and 54903454?\nAnswer: 54904859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674 - 7687 = -3*y. List the prime factors of y.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ithfhchrhfrhifr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -584*v + 468*v - 601*v - 1049*v to c*v + k and give c.\nAnswer: -1766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 22002295.\nAnswer: 1\/3143185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 43*s - 104. Let g be l(-11). Solve 0 = -7*w - 8 - g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 + 9*j**2 - 11*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 6) in base 13?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -387 + 394. What is the nearest to u in 5, 4, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*8685\nAnswer: -4342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 4372.\nAnswer: 874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - k - g - 60, 0 = -4*g. Suppose -k*n = -n + 110. Let i be 8\/12 + 16\/(-6). Sort 1, n, i in increasing order.\nAnswer: n, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16944 and 2118.\nAnswer: 16944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27676817 + 6348.\nAnswer: 27683165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.27 - -38.5. Let s = 2.141 - u. Let x = s - -0.16. What is x rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1695 or 659\/2?\nAnswer: 1695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(-18)\/21*7. Let v = 23 - 21. Let j be ((-12)\/8)\/(-1 - (-1)\/v). Calculate the greatest common factor of i and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o - o)*(1 - 2 + 4) + 2*o**2 - o**2 + o**2 - 2*o + 2*o - o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2*w**3 + 285880*p - 4*w**3 - 7*w + 3282 with respect to p.\nAnswer: 2*p*w**3 + 285880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-27) + 14\/18. Suppose -3*r + 2 = -i. Suppose -q = -25 - r. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 29. Suppose -g + 2*g = -3*t + 5, 0 = 2*g - t - s. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 7*c + 38. Let x be f(10). What is the highest common divisor of x and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*9\/((-945)\/(-30)). Factor w*s - 2\/7*s**2 + 4\/7.\nAnswer: -2*(s - 2)*(s + 1)\/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 11:32 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - -79. Let c = 133.08 - i. Are c and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -87 (b) -4 (c) -4\/9 (d) 0.1 (e) 2\/97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -35, 0, -4, 92, 17, 4 in decreasing order.\nAnswer: 92, 17, 10, 4, 0, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, -3\/5, -2, 0.13 in increasing order.\nAnswer: -2, -3\/5, -3\/11, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -53995*i**2. Let a(c) = 278*c. What is z(a(t))?\nAnswer: -4172949580*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 4\/5 (b) -2 (c) 2\/13 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 0. Suppose -3*o - l*r - 8 = 6, -4*o + 3*r + 20 = 0. Suppose -o*p + 152 = -0*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-292080)\/28*(-126)\/27.\nAnswer: 2, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2547.68 to the nearest ten.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -22224648 divided by 926027?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*x - 1493 = 318*x - 43*x - 12101 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26228 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 297*d - 3*d - 47 + 101.\nAnswer: -300*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyeyyyyeeyhyeeeyy?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17656748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -0.14.\nAnswer: -19.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/91*(-6)\/24*-22*-12.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 9. Let r = 8 + -15. Let j be s(r). Factor -1\/2*z**j - 1\/2*z**3 + 0*z + 0.\nAnswer: -z**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -6107a0c?\nAnswer: 6107a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t - 24. Let m be z(6). Solve -c - m = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 60*i**2 + 59*i + 97. Let m be s(31). Which is the closest to 1\/2? (a) 5 (b) 96 (c) -0.3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -182, 5, 3, -31, 2.\nAnswer: -182, -31, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 260. Let x(m) = -m**2. What is x(a(w))?\nAnswer: -9*w**4 + 1560*w**2 - 67600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 42. Let f(n) = 39*n**2 + 2*n - 44. Let w(m) = -26*m**2 - m + 29. Let i(z) = r*w(z) + 5*f(z). Is i(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457, -481, -505, -529?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(2\/9)))**(1\/5) assuming q is positive.\nAnswer: q**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264689 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(6\/11)*q*q\/q**(-2\/45)*((q*(q*q**12*q)\/q)\/q)\/(q*q**16) assuming q is positive.\nAnswer: q**(-203\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 5:10 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5923*h**2 - 5923*h**2 + 351*h**3)*(-h + 4*h + h).\nAnswer: 1404*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(153) + (sqrt(153)*-2 + -1)**2 + (sqrt(153)*1*6 - sqrt(153)) + sqrt(153) - (-2 + sqrt(1088)*2 - (sqrt(1088) + 2 + -3))**2.\nAnswer: -475 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/6 and 47\/8744?\nAnswer: 26232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1309794 - 861182142.\nAnswer: -862491936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4278.628 centimeters to micrometers.\nAnswer: 42786280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076117091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 2 + (4187 - 4272)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -823 + 843. Solve -3*v - 2*v - m = 4, 5*m + t = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570\/456)\/(2\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -626, -284 in decreasing order.\nAnswer: 1, -284, -626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:54 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -99, -3, -8, -1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 417?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 2, c: 1, o: 2, q: 1, j: 1}. Give prob of picking 1 v and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 78 = -2*i + f, -5*f - 230 = -5*i. Suppose -i = z - 3*z. Is 20 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 302.8729 and -0.4?\nAnswer: 303.2729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10205471 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.817811813 rounded to one dp?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1526\/63 + 4\/(-18). Suppose -x = c - 4*b, -c + 2*c + 9 = -b. Let j be (c\/(-8))\/(-2*(-6)\/(-16)). Sort j, -5, -3, 6 in increasing order.\nAnswer: -5, -3, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63474, -63326, -63178, -63030, -62882?\n\"Answer: 148*j - 63622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*2*-1)\/(sqrt(30)\/sqrt(54) + sqrt(5)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 30068*v**2 + 360708*v + 1082016.\nAnswer: (v + 6)**2*(v + 30056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 156 = -21. Let r = -119 + 225. Calculate the remainder when r is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 99.004 and -1.4044896.\nAnswer: 97.5995104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.03996 decades to years.\nAnswer: 480.3996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-44)*102\/119*(-28)\/6.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64650 (base 7) in base 2?\nAnswer: -11111011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157668949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278664\/184674211 + 4\/72223. Let d = m - 150911\/30684. What is the common denominator of d and (-3 - -82)*3\/(-54)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25889, -25694, -25487, -25262, -25013, -24734?\nAnswer: -24419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose v = 2*m - m. Let i = m - -14. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5532 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 2*w**2 - w**2 + 3*w**2. Let u(i) be the first derivative of -i**3\/3 - 2. What is s(u(x))?\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -129*6 - ((-3)\/1)\/1. Let t = -701 - k. Calculate the least common multiple of t and 25.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6065832\/275880 - 22 - (-60)\/2850?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062518606 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3145*x**3 + 7*x**2 + 8*x + 10. Let c be j(-5). Round c to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u + 9*u - 30*u + 12*u - 39. Let m be x(40). Solve 2 = -n, -3*p - 3*n + 2*n + m = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (906 - 908) + (1 - -15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5\/7 - 26*m**4\/7 - 82*m**3\/7 - 10*m**2 - 18*m\/7 = 0 for m.\nAnswer: -1, -1\/2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 5*p + 9. Let y be d(4). Suppose 0 = 24*o - y*o - 1113. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*c - 9*c - 437. What is the highest common factor of 46 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62664 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: Factor 5*n**3 + 694695*n**2 + 24133182975*n + 217142380125.\nAnswer: 5*(n + 9)*(n + 69465)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z - 2. Let s(v) be the third derivative of -v**3\/6 + 6*v**2. Let u(b) = -s(b) - t(b). Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000240236295 rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -0.5 (c) -2 (d) 1\/4 (e) 0.8381\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/3*(-7272)\/(-9888) and 30\/11.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**8\/1680 + p**4\/12 + 4*p**3\/3 - 3. Let z(v) be the third derivative of r(v). Differentiate z(n) with respect to n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - r + r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-106 + 4)*1\/(-2). Let r = -33 + h. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -446467 or -11161696\/25?\nAnswer: -11161696\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001499 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 20858000 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5\/3*p**2 + 5\/3 + 10\/3*p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lubl when four letters picked without replacement from lllblllbulbbbllbpb.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 212 - 564. Suppose -3*p - 2*l + 17 = -37, -5*p = 4*l - j. What is the greatest common divisor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/329 at most as big as -10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16236, -16237, -16238?\n\"Answer: -o - 16235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*n**2 + 20*b**2*n - 7*b*n**2 + 6*b*n - 3*n**3 wrt n?\nAnswer: -2*b**2 - 14*b - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 - 3.4. Let o(z) = -z**2 - 8*z - 14. Let u be o(-3). Which is the third biggest value? (a) u (b) 0.1 (c) n (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*r + 144. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 17*j - 5*a + 14, -143*j - 3*a = -141*j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(176)*2*4 + sqrt(44)\/(-2*sqrt(4)) + (2*sqrt(77))\/sqrt(7))**2.\nAnswer: -335*sqrt(11) + 49479\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -1618, -5179, -12110, -23533, -40570, -64343?\nAnswer: -95974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12 - 22)\/34)\/133)\/(6\/21)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**5 + a**4 + a**3 - 2*a. Let j(h) = -34*h**5 + 182*h**4 + 4352*h**3 - 31180*h**2 + 65756*h - 44944. Let p(f) = 2*j(f) + 36*o(f). Factor p(l).\nAnswer: 4*(l - 2)**3*(l + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = 4*v + 79. Suppose i = 203 - 10. Let y = i + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 21 = 4*p. Suppose 7*r = 4*r + 27. Calculate the remainder when 8\/(-7 - -3)*p is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136604 (base 8) to base 6\nAnswer: -1012340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 17. Let j(p) = p**2 + 2*p - 7*p + 5 - 8*p. Let m be j(13). Solve 8 = -m*v - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86508 (base 9) to base 15.\nAnswer: -11e85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 531? (a) 0.9 (b) 2\/7 (c) 0.4 (d) -1 (e) -8 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2749891397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068300301 rounded to five dps?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -27*p**5 + 192*p**4 - 156*p**3 + 48*p**2 - 24*p - 48. Let t(y) = 2*y**4 - y - 2. Let g(s) = o(s) - 24*t(s). Find m such that g(m) = 0.\nAnswer: 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.56 + 0.44. Which is bigger: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.646 * -2571.\nAnswer: 96787.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402 and 201.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1093483307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-162 + 119 - (-3 - 13)) + -1 + 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 4*g**2 + 5*g - g.\nAnswer: 4*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = t, -2*t + n + n + 4 = 0. Suppose -3*d + t*d = 0. Is d smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1332 * -1.2791.\nAnswer: -1703.7612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 216.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - -2*sqrt(198))*6 + (sqrt(198) - -3*(sqrt(198) - (-1*sqrt(198) + sqrt(198)))))\/(5*-2*sqrt(11) + 5*sqrt(33)\/sqrt(3)).\nAnswer: -66*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4968\/17063?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 163. Does 11 divide l(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7577849 at least 7577849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - 25 = -5*s, 20 = -4*h. Calculate the remainder when 59 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -4 + 4\/7*h**2 - 2\/21*h**3 - 8\/7*h. Let g(r) = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334\/3 <= 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51487129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16515 or 17018?\nAnswer: 16515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40792337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 20*l - 4*o + 14 = 0, -l - 2*o - 19 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1856, 1855, 1852, 1847?\n\"Answer: -p**2 + 2*p + 1855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 4*v**2 + 6*v + 20. Let i be z(-6). Let u = -94 - i. Let h(w) = -4*w + w**3 - 3*w**2 + 7 + 2*w**2 + 6*w**2. What is h(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -186*p + 1284. Give o(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1152 - 1?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 8*s**2 - 4*s - 2. Suppose -81*q + 279 = 4*q + 109. Let i(k) = k**3 + 4*k**2 - 2*k - 1. Determine q*u(r) - 5*i(r).\nAnswer: -3*r**3 - 4*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-6)\/(-30)*16. Find the third derivative of -14*c**2 + 36*c**3 - 14*c**3 - 20*c**3 - f*c**2 wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795463?\nAnswer: 37, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -72*((-620)\/(-160) + -4). Let w(y) = -5*y**3 + 4*y**2 + 2*y + 1. Let v(z) = 11*z**3 - 9*z**2 - 4*z - 2. Give k*w(h) + 4*v(h).\nAnswer: -h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 607018 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 571.5403 millilitres?\nAnswer: 0.5715403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19312*q**2 - 3*q**3 - 19316*q**2 + 38628*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/62, 1.7, -3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471 = 46*w + 127 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267*h**5*p**3 + 171*h*p**2 + 2*h*p - p**3 wrt h.\nAnswer: 5340*h**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 + n**3\/6 - n**2 + 27*n - 36. Suppose -z + s = -2, 0*s - 4 = -2*z + 5*s. Determine b(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 42*y**3 - 6148*y**2 - 124806*y - 118701.\nAnswer: (y - 109)*(y + 1)*(y + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t - 25, 5*t = -2*j - 21. Solve 13 = -j*c - 5*i, 60*c + i + 1 = 58*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2. Calculate the common denominator of 66\/16 - 1\/4 and (a*-1)\/(66\/(-237)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (-134 + 108)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (276\/230)\/((-1)\/330). Let z = -175 - c. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5. Suppose -2*w = w + 24. Sort l, w, 5 in descending order.\nAnswer: 5, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2251.73758 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000249 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -9 - (6 + -4)) + 5 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5277 by -12009.\nAnswer: 1759\/4003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -12*o - 15, -5*o - 23 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52670687.\nAnswer: 229, 230003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 129\/21 + -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -42. Let i = -21 + c. Let t = i + -8. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 81 - 202 + 8 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.04? (a) -5 (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -14 (c) -5 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/68 and -37\/915495.\nAnswer: 62253660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 34071744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 724*p**4 - 1214*p + 1518*p**4 + 729*p**4 - 739*p - 879*p**4 wrt p?\nAnswer: 25104*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-2*x + 0*x + 0*x) + 1210*x - 673*x - 859*x.\nAnswer: -326*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 + 551. Calculate the highest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**7\/280 + o**6\/40 - 3*o**5\/80 - 27*o**2\/2 + 77*o. Let m(c) be the first derivative of y(c). Factor m(s).\nAnswer: -3*s**2*(s - 3)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 2*l**4\/57 - 17*l**3\/57 + 4*l**2\/19 + 25*l. Determine i so that d(i) = 0.\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-180)\/(-50)*(-5)\/(-3). Suppose c + 5*t = 14, -26 = 34*c - 38*c - 5*t. Suppose -i = z + 5, i - 5*z - 25 = 4*i. Sort w, i, 1, c in descending order.\nAnswer: w, c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*f - 5353, -3*t = -2*f - 2*f - 4015. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1044226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -7) + (0 - 0). Calculate the lowest common multiple of j\/5 - (-102)\/30 and 7*12\/546 - 100\/(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 8.3, 0.06, 0.4, 1\/3 in decreasing order.\nAnswer: 8.3, 0.4, 1\/3, 0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - ((-12)\/42 + 37\/7). Suppose -4*y = -q - 5, -3*q + y - 30 + 15 = x. Sort q, -7, 0.2 in decreasing order.\nAnswer: 0.2, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7 - (20 - 44))\/(3\/1428)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/((-22)\/5 + 4). Let z = -323\/5 - r. What is the closest to 0 in 5, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209 - 39. List the prime factors of z.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -f - 3*y - 47, -5*f + 8*y = -84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21919 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. Suppose -m + t - 4 = -3*m, -t + 2 = m. Let z(d) = -4*d + 2*d + d + m. What is z(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/5 + 247\/5. Suppose 61*t + 381 = -2486. Let v = t + a. Solve 0 = -3*n + 2*n + v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88363 or -88361?\nAnswer: -88361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Let p = 2.0000012 - a. Round p to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45355*l - 63 = 45348*l. Solve -3*f + 3*k - 4*k = -l, 5*f - 15 = 4*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 6:09 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*f + f + 25, 0 = -3*h - 2*f + 35. Let i = 6 - h. Is i greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913 divided by 6.\nAnswer: 913\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10*w**(4\/3))\/(w*(w**(-8)*w)\/w*w)**(-2\/63) assuming w is positive.\nAnswer: w**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 29. Let a(t) = 3*t + r*t - 13*t. Let f(u) = -5*u**2. Give a(f(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(-1)*((-735)\/42)\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - -1.06. What is the closest to 1\/2 in -1\/7, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24702 or -29927?\nAnswer: -24702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**5 + 72*g**2 - 18*g - 2 wrt g?\nAnswer: -80*g**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2*w**2 - 3*w**2)*(-1 + 1 + w**2) + 16*w + 3210*w**4 + 295*w**4 + 2704*w**4 - 16*w.\nAnswer: 6210*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 + 510*l**3 - 136*l**2 + 393360*l wrt l?\nAnswer: 24*l**2 + 3060*l - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c + 2*c + 0*c)*(3 - 3 + 2) + 2*c - 2*c + c)*(0 - 5 + 3 + 1 - 3 + 0 - 3 + 1 + 4 + (1 + 2 - 2)*(-3 + 2 + 2) + 0 + 3 - 4 - 1 + 5 - 2 - 3 - 2 + 6).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 238. Let y(j) = 12*j - 716. Let g(d) = 11*m(d) - 4*y(d). Let u be g(-40). What is the greatest common factor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 = 4*x - 5*b - 6472, b = -3*x + 3680. Let h = 1230 - x. Solve -3\/2*u + 1\/4*u**3 + 0 + 1\/4*u**h = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 + 34 - 42)*(-4 + 34 + 68)*(4 - 5 - 4)*(0 - 2*t + 0)*(1 + 0 - 2) to q*t + n and give q.\nAnswer: -49980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588855028.\nAnswer: 2, 31, 821, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92593188.\nAnswer: 2, 3, 2572033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*j + j - 2*j)*(-5*j - j - j) + (-8 - 48*j - 47*j + 97*j)*(4 - 4 - j))*(5*j - 4*j + 3*j - 2*j**2).\nAnswer: 46*j**4 - 108*j**3 + 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908688881.\nAnswer: 6011, 151171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**3\/3 + 3. Suppose 4*n = 4*r - 124, -13*n = -9*n - 8. Let s(j) = 16*j - 50*j + r*j + 9*j**2. Determine w(s(i)).\nAnswer: -162*i**4 + 36*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50.64 and -10?\nAnswer: 506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711457253.\nAnswer: 3, 11, 1493, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d - 4*d - 5*d as u + x*d and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 2*k**2 + k - 2. Let i be x(2). Suppose i = 3*y + 2*y. Round y to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k - 4*n + 20 = 0, -2*n = 4*k - 22. Let p = 117 + -114. Solve 2*b**2 + 5*b**2 - 5*b**2 + k*b**p - 4*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 133*x**2 + 222*x + 11794. Let v be b(-134). Solve 1\/4*s**v + 15\/2*s - 31\/4 = 0 for s.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 - (-9 + (-1 - -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(1125) + sqrt(1125) + 1 + 3 - (5 + -1*sqrt(1125) + sqrt(1125) - (sqrt(1125) + -2*(2 + sqrt(1125)))))**2.\nAnswer: -300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -914*b - 15. Let z(u) = 262*u + 5. Let h(q) = -2*g(q) - 7*z(q). Let i(v) be the first derivative of v**2\/2 + v + 1. Determine h(n) + 3*i(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 204*h + 1966258 - 3434012 - 2950070. List the prime factors of h.\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-4) + (1 - 0). Suppose 2*g - 2*w = -4*w + 80, 79 = k*g + w. Let z = g + -31. What is the smallest common multiple of 7 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 59, -3, 340 in descending order.\nAnswer: 340, 59, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0 - 2. Let m(p) = -p**f + 7 - 4 + 0 + 1 + 14*p. Is m(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 + 2*n**2 + n + 2. Let m be f(2). Let d be m\/15*15\/(-6). Solve 0 = -d*i - 3*i + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 8) + 5 - (71 - (259 + -59))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518578?\nAnswer: 2, 29, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Let h(y) be the third derivative of 0 + 1\/2*y**3 + 0*y**4 + 1\/40*y**5 + 0*y - 7*y**2. Let t(o) be the first derivative of h(o). Give t(u(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*v - 132 = 178*v. Solve -5 = -v*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2 - 5?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let s be w(-12). Let t = -7 + s. What is the remainder when 9 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-72)*8*99)\/((-1)\/2).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4 + w + 3*w + 0. Suppose 2*i + 6 + 6 = 0. Let a(k) = -1. Let y(v) = 9*v + 5. Let t(f) = -4*a(f) + y(f). Determine i*t(u) + 13*z(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)\/(f\/(f\/f**(-1)))*f**(-3)*f**(4\/11)*f)**(3\/4))**(-1\/67) assuming f is positive.\nAnswer: f**(27\/2948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/(-21) - 4\/14. Let p be c\/(2 - 4) + 1. Let m be 2 + 0\/p + 2. Solve 3*d + m*t = 4 + 6, -2*d = -5*t + 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 36*r**2 - 111*r + 82. Calculate t(39).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.06571 (b) 0.07 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9405*p. Let w(q) = -9*q**2 + 4. Calculate w(i(x)).\nAnswer: -796086225*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095628 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: Simplify (2 + (sqrt(3) + (sqrt(147)*-4 - sqrt(3)))**2)*-3.\nAnswer: -7062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 428002 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/5*p**4 + 1044\/5*p**3 + 0*p**2 + 0*p.\nAnswer: -3*p**3*(p - 348)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -794, -1021, -1252, -1487?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 5)*(-h + 0*h - h) + 2*h - 7*h + 3*h)*(-21 + 4 - 3).\nAnswer: 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*z = -473*z + 84 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2570*n**3 + 2606*n**2 wrt n?\nAnswer: -15420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 12:05 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 23 = 3*n, 2*n + 0*q = -5*q. Let y(m) = m + 10. Let z be y(-7). Let r(t) = -t + 1. Let u be r(z). Sort n, 3, u in descending order.\nAnswer: n, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -1567*b**6\/6 - 208*b**4 - 46*b + 43. Find the third derivative of i(s) wrt s.\nAnswer: -188040*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -346*m - 26. Let g(y) = 69*y + 5. Calculate -16*g(s) - 3*r(s).\nAnswer: -66*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 13 + -9 + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55321 (base 6) to base 10.\nAnswer: 7681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77\/102 or 2\/7?\nAnswer: -77\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.451 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9424.036l?\nAnswer: 9424036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7120, 14337, 21652, 29065, 36576, 44185?\n\"Answer: 49*u**2 + 7070*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -1\/60*b**5 + 1\/6*b**3 + 1\/24*b**4 + 0 - 2*b**2 + 0*b. Let q be h(-1). Let o(l) = l**2 - 1. What is o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 + -1 - 0) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-4 - 0) + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8628, 15718, 22808, 29898?\nAnswer: 36988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c33 + 12?\nAnswer: -4c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 6*b**2 + b - 1. Let q(a) = 11*a**3 - 10*a**2 - 77*a - 2. Calculate q(g) - 2*y(g).\nAnswer: 13*g**3 + 2*g**2 - 79*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 6 - 2. Let o be (36\/15)\/(b\/5). Suppose -45 = u - o*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -10, -g - 2*g = -3*y. Let a(b) = b**3 + 11*b**2 + 10*b + 4. Let c be a(-10). Put y, 5, c in decreasing order.\nAnswer: 5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-16)\/68))\/(7\/(280\/20))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z**2 + 2*z + 7. List the prime factors of i(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.7 - 0.3. Which is the nearest to 1? (a) 2\/11 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2110 = 211. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001222122 (base 3) in base 7?\nAnswer: 4346420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208\/321 - -316255\/7704. Let c = y - 277\/8. Calculate the common denominator of c and 21\/(-63)*(-1081)\/(-69).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -2. Let l be (-1)\/(-4) + 13\/(-4) - i. Solve -5*p + 4*p = -4*b - 8, -l*p = 5*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 - 4 - 4*b**2 + 4*b**2 in the form l*b + p*b**2 + h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 74*x - 74*x + 6*x**2.\nAnswer: -x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46132 and 51452.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 20*w = -24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6696155.\nAnswer: 5, 31, 43201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 489279088 to the power of 1\/3, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) -3\/2 (c) 1\/2 (d) -3 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(18\/(-5)) - (-40)\/240*-131.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 256 (c) -1 (d) 0 (e) -76\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809426?\nAnswer: 2, 3, 29, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 8*s + 8. Let m(f) = f**2 - 3*f + 3. Let p be m(2). Let o be p + -4*(3 + -1). Let q be a(o). Put q, -4, -2 in ascending order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52667 and 85.\nAnswer: 4476695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 561*s**2 + 3896*s - 10. Let c be k(-7). What is the highest common divisor of c and 5888?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) -4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1554*r**3 + 1529*r**3 - 3038*r**3.\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2 - 2 - 4*h + 0 + h. Determine w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 87*x**2 - 90*x + 79. Is f(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -883248 divided by -2?\nAnswer: 441624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2139340 and 4322340.\nAnswer: 211794660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*o**3 + 213 - 123 - 90.\nAnswer: -305*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 812227571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 8. Let x be (8\/10)\/(36\/5850). Suppose -30 = -2*m + x. Calculate the remainder when m is divided by p(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 1. Let d(o) = 202 + 2*o + 29 - 1 - 64*o**2 + 102. Let t(z) = -d(z) + 4*j(z). What is the first derivative of t(k) wrt k?\nAnswer: 152*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 6 + 1 + (-8 - 11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + a. Let z(h) = 2*h**2 - h. Suppose -40*k - 114 = -21*k. What is k*g(i) + 2*z(i)?\nAnswer: -2*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-6\/11)*x*x**(-20)*x*x*x**(-2\/7)\/x*x*x*x**(-1\/4) assuming x is positive.\nAnswer: x**(-4953\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 20*b - 9. Let q(c) = 10*c - 4. Give -5*q(h) + 2*u(h).\nAnswer: -10*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4287\/545 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -11 (b) 10.7 (c) 5 (d) -1\/3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*y + 125, -2*y - 104 = -11*v + 7*v. Calculate the least common multiple of 270 and v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32212 is divided by 6419.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 + -107. Suppose -4*k + 1940 = v*g, -5*k - 155 - 360 = -g. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s**6 - 8284*s**3 + 5790*s**2 + 3*s - 2.\nAnswer: -1200*s**3 - 49704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3259*x = -3257*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-60)*(-8 + 11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246199227 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from ymkpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39\/9*(363 + 63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(25*h**2 + 31*h**2 - 52*h**2 + (-h - 6*h + 5*h)*(0*h - 2*h + 3*h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and -21\/124.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - o - 10 = 0, -28*o + 32*o = -m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 36.66. Let n = z + -0.04. What is the biggest value in 2\/13, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 8*o + 0 - 10*o + 1084*o**2 - 518*o**2 - 540*o**2 to k + h*o + p*o**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231081188.\nAnswer: 2, 13, 137, 163, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - s + 3 = 2, 4*v = -5*s + 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 49. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 191170, 375426, 559668, 743890, 928086, 1112250, 1296376?\n\"Answer: -n**3 - n**2 + 184266*n + 6906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sts when three letters picked without replacement from tsssstssssssssst.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -258, -62, 244, 666?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from hczjzjjzjjchz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 4. Is 7 a factor of 14 - (-4)\/(8\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from vqqdqdfqfzdlvfdlv?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/107 (b) 4 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42 - -5 - (-10 + 28)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 9258775*l - 55552470.\nAnswer: -5*(l - 1851749)*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1048*y**3 + 0 - 1 + 1047*y**3 + 2*y**2 - 1 - 7*y**4 in the form c*y**2 + b*y + a*y**4 + n + t*y**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127.1 - -127.2. Let m = 6 - 10. Which is the nearest to k? (a) 0.1 (b) m (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**2 + 6*d + 5. Let b(k) = 10*k**2 - 7*k - 6. Let a(g) = -5*b(g) - 6*q(g). Let l = 0 + -1. What are the prime factors of a(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 4*v. Let y be b(4). Suppose y = 2*f - 20 - 4. Suppose -3*z + f = 5*h, 5*z + h + 10 = 30. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-9) - -3) + (-1256)\/24 + 11?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 41) + (-4 + 2 - -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*9\/(-1 + -8). Suppose -2*u = -4*s + 2 + 4, s + 16 = -3*u. Put o, 1, u in descending order.\nAnswer: o, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.8 * 840303\nAnswer: 7394666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 28, 78, 152, 250?\n\"Answer: 12*p**2 - 10*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -218*s**3 - s + 1. Let i(m) = -m**3 - m. What is -i(t) + y(t)?\nAnswer: -217*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4752286?\nAnswer: 2, 7, 11, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - 76*a + 242. Determine w(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 5*c - c)*(-14 + 7 - 5)*(2 - 3 + 0)*(-c - c + 3*c - 5)*(4 + 1 - 4) to r*c + k*c**2 + y and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*n = 18 + 214, 0 = -3*i - 2*n + 179. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -802547.06 rounded to the nearest one hundred?\nAnswer: -802500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6436 and 4.\nAnswer: 6436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8769407881.\nAnswer: 13, 107, 283, 22277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266100129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = 47*l - 434. What is the remainder when 516 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -33 + (4 - -2) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 510*w - 499*w + 33 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 8*a**2 - 13*a + 2. Give b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5303, -394, -4, 3, -0.3.\nAnswer: -394, -4, -0.3, -2\/5303, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*o + 6 = 0, 3*o - 13 + 4 = -4*s. What is the first derivative of -8 + 1 - 4 - 3*z**2 + s*z**2 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, -2\/3, 17\/24, -2, 2\/7, 2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d - 5*v, 3 = 3*v. What is the units digit of 1 + -1 + d + 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210987 (base 13) to base 10.\nAnswer: -772779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -70, -154, -272?\n\"Answer: -17*q**2 + q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -451, -954, -2297, -4894, -9159?\n\"Answer: -69*o**3 - 6*o**2 - 2*o - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.97347ml in litres?\nAnswer: 0.07797347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -2. Let t be 10\/(4\/(r\/3)). Solve 4*q = 15 + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3647*u**2 - u - 6257*u**2 + u.\nAnswer: -9904*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 13083713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*1*1\/(-6)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 13*p**2 + 16*p + 1. Let q be m(5). Let l be (3\/q)\/(5\/40). Solve 0 = l*a + 2 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from eeeebeeebe?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10179430.85 rounded to the nearest ten thousand?\nAnswer: 10180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nee when three letters picked without replacement from {e: 3, n: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277249576 to the power of 1\/2, to the nearest integer?\nAnswer: 16651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*u - 0*i + 20, -4*i + 8 = 2*u. Let c(d) be the first derivative of d**2 + 4*d - 356. Give c(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 348.777439 to zero decimal places.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7473428991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354553654.\nAnswer: 2, 7, 13, 1948097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, o: 8, z: 1, f: 5}. What is prob of sequence pfff?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 13*s - 116 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 13\/52*20*-1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-13\/5))\/f)\/f)\/(f\/f**29) assuming f is positive.\nAnswer: f**(148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 2. Let c(f) = f**3 + 4*f**2 + 6*f + 4. Let g be c(-4). Let r(w) = -22*w**2 + 30*w. Let y be r(2). Let t be 1 - g\/y - 46\/14. Give z(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -5. What is the greatest common divisor of 88 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 83 = 4*f, 4*b + 3 = f - 14. Calculate the greatest common divisor of 168 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*3\/(-3))\/6)\/((-1260)\/(-1008))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 8 = 5*q. Let s = -11 - q. Let v be (8\/s)\/((-10)\/25). What is the third smallest value in 7, 5, v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3090)*-4)\/((-1)\/((-93)\/62))?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 228, 227, 226, 225, 224?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58272.88um to nanometers.\nAnswer: 58272880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -41*g + 11. Let j(v) = -2*v**2 + 9 + 5 - 14. Give j(u(h)).\nAnswer: -3362*h**2 + 1804*h - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*j - 487 = -4*c - 547 + 6053, -4*c + 86 = -2*j for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007772703 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.018 (b) -0.0146 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.3 and -48?\nAnswer: -494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*y + 5, -y = 4*y + 3*o + 3. Suppose y = -3*w + 5*w. Suppose -z + 0*z + 15 = w. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.972 - 0.028. Let d = l - -11. Let f = -26.18 - d. What is f rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43 + 4\/(-2 + 0). Let z = -4 + q. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 9, 56, 157, 330, 593, 964, 1461?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 e when three letters picked without replacement from {r: 2, v: 1, e: 2, c: 8, y: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7004*b*n**5 - 7*b*n**4 + 103742*b*n - 12*n wrt n.\nAnswer: -140080*b*n**3 - 84*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -26, -39, -52, -65?\n\"Answer: -13*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, y: 3, s: 6, d: 2, a: 2}. What is prob of picking 1 y and 1 l?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1*-1)\/(sqrt(600)*2).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*(-6)\/(-2))\/(-1). Does 5 divide (-8 - 2)*g\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-3)\/a))\/a*a)\/(a**11*a))**(2\/49))**(-1\/54) assuming a is positive.\nAnswer: a**(1\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 25*r**3\/3 + 82. Let y(o) = o**2. What is y(l(s))?\nAnswer: 625*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 - 92682234808?\nAnswer: -92682234808.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21 + 13.79. Let p be ((-5376)\/108)\/28 + (1 + 6 - 5). Put p, b, 0.5, 2\/7 in increasing order.\nAnswer: p, 2\/7, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -453, -463, -477, -495, -517, -543?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**6\/720 - 31*f**5\/240 + 5*f**4\/8 - 18*f**3 - 4*f + 1. Let x(m) be the third derivative of z(m). Factor x(u).\nAnswer: (u - 30)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**6 - 1013907*i**3 + 3*i**2 + 54481 wrt i?\nAnswer: 600*i**3 - 6083442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/(20\/300). Sort 1, a, -8, 3 in descending order.\nAnswer: 3, 1, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23120 (base 5) in base 10?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 4 (c) -0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 97\/2*-6*(-1)\/(-3). Let v = 148 + f. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 302 = 42*f, -w - 2*w + 5*f - 4 - 76 = -8*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202940 is divided by 8716.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95790 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:13 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 3. Let v(i) = 4*i**2 - 1 + 12*i**2 - 17*i**2 - 5*i. Let w be v(-2). Sort g, w, -2 in descending order.\nAnswer: w, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1429*m**3 + 11*m**2 - 14*m?\nAnswer: 8574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 + 19)\/(-7))\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4\/38 + 84\/5472*-15.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2545.76 + -68337?\nAnswer: -70882.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000110 + -101000111011?\nAnswer: -111111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15315360 by 638140.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/820*41*(-3)\/((-24)\/130).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 12 - 8. Suppose -v = 2*b - 0*v - h, 4*b - v + 1 = 0. Solve r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1109578 and -30570.7.\nAnswer: 1079007.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -37, -46, -59, -76, -97?\n\"Answer: -2*i**2 + i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 14*b - a + 8 + 14 = 7, 0 = 2*a - 4 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o**2 + 68*o + 16. Give n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 355, 1317, 2279, 3241, 4203, 5165?\n\"Answer: 962*y - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4381881*j**2 - j + 985949 wrt j.\nAnswer: -8763762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 9*k - 9. Let j be w(6). Let v = -41 - j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/(-4) - (5 + -6). Let k = 22 + y. Calculate the least common multiple of 2 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a - 72. Let i be t(5). Suppose -22 = -3*v - 2*n, 4*v + 3*n = 2*v + 23. Put i, -8, v, -5 in descending order.\nAnswer: v, i, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -10*h + 62, -4*h + 15*b + 40 = 18*b for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 7*d - 23. Let u be h(10). Let w(s) = 38*s**2 - 7 + u - 37*s**2. Let q(b) = 5*b - 4. Determine w(q(t)).\nAnswer: 25*t**2 - 40*t + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4077 and 3798405?\nAnswer: 11395215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofj when three letters picked without replacement from ffjfjjofojof.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10287680, -10287688, -10287696?\nAnswer: -10287704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 1\/((-2)\/(-4)). Suppose 0 = l - 1 + k. Let u = 21 - l. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 9) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1868 + 804 = -19*j. What is the greatest common factor of 1128 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obtotomssoootgoo. What is prob of picking 1 b, 1 s, and 1 t?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 14\/3 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - -250. Let t be (-2)\/(-6) + h\/(-876). Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 88 + 13*k + 17*k - 92.\nAnswer: 25*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - 2*q)*(1 + 1 + 0) + 3*q - 4*q + 0*q - 2*q + 0*q + 4*q - q + 0*q + 0*q)*((3 + 2*q - 3)*(-6 - 1 + 4) - 3*q + 2 - 2 + 0*q + 2*q + 2*q).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 917.9384 decades?\nAnswer: 110152.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357 a factor of 7808382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 14*s + 79. Let i(d) = 2*d**2 - 13*d - 82. Let u(z) = 6*i(z) + 7*r(z). Let q be u(11). Solve q*b - 43*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 45*u + 11. What is the units digit of s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2320338336.19981 + -2320290669. Let v = w - 47667. Let u = 0.2 - v. What is u rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-25)*((-30)\/4)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153867 - 2997*g + 307732 - 153865.\nAnswer: -2997*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7712657953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 2*r**2 + r + 7. Let h be u(0). Suppose -3*z = h*z - 19*z. Which is greater: z or -2\/95?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4 + 4 - 2)*(48 - 48 - 16*a**2) + 149 - 149 - 5*a**2 - 2*a**2 + 0 + 0 + (-3*a + a + a)*(2 - 2 + 2*a) + 2*a**2 - a**2 - 2*a**2.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 161\/2, 0.2, 7\/311, -4?\nAnswer: 7\/311","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.33995nm?\nAnswer: 0.00000033995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2550 and 30310150.\nAnswer: 90930450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (146\/(-219))\/(3*4\/252).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -17.0773244.\nAnswer: -16.0773244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 2*g + 3. Let b be d(-2). Suppose 4*x - o + 4 = 1, -6 = 3*x + b*o. Let q be -5 + (-3)\/2*-2. What is the third biggest value in 0.3, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 - 3 = -l, 2*l - y = 4. Let v(j) = j**2 + 2*j - 3. Let z be v(l). Put -3, z, -2, -5 in ascending order.\nAnswer: -5, -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 34. Let x be 4*2*26\/t. Let d = x - -14. Is d >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58717644223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44855157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2956 - -41385\/14. What is the second biggest value in 3\/5, -5.6, a, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-55)*(-8)\/(-4)*33\/(-6). Solve -i = -8*w + 10*w + q, -4*q - 4 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -806 * -0.1\nAnswer: 80.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427803533.\nAnswer: 3, 13, 12203449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1597, -2428, -3261, -4096, -4933, -5772, -6613?\nAnswer: -7456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58121 divided by -437?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*h + 5408 = -2527*h - 5357 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*y = 5*c - 22, -3*c = 2*y - 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/114 and (-9)\/(-81)*177\/9?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-132) + (-460)\/253 + 1*17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 4 (b) -1\/5 (c) -78 (d) 94 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -6 + -1 + 2. Suppose 265 = q*a - 26. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 7) to base 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(sqrt(91) + sqrt(91) + 5*(sqrt(91)*6 - sqrt(91)) + sqrt(91))\/(sqrt(35)\/sqrt(20)).\nAnswer: -840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18061071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 56 - 16. Let u(i) = i**2 - 7*i + 2. Let k be u(7). Let c = k - a. Let n(r) = r**3 + 6*r**2 - r + 1. Calculate n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/13 - 29738*l**2\/13 + 178482*l\/13 - 267750\/13.\nAnswer: -2*(l - 3)**2*(l + 14875)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358222071 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2 + 2*d + 3. Let v(o) = 17*o**2 - 4*o - 5. Give 5*g(m) + 3*v(m).\nAnswer: 11*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202\/659 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.02 - 3. Let c = 0.0199956 - v. What is c rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofffffoffffoffffffo. What is prob of picking 2 f and 1 o?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.092 - 0.169. Let c = 0.07747 + l. Round c to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -55. Suppose a*p = 5*p + 30. Suppose -p*j = -10*j + 20. Solve 8 = -3*t - j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k**2 + 6429*k + 34444. What is h(-316)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*u - 4*p - 8, -u + 4*p = -5. Let h be (-51064)\/89362 + 1\/(-26)*796\/(-14). Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51699 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 134*h - 31. Let v be s(33). What is v rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.029 - 12.1. Let c = x - -5.971. What is c rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, y: 7}. Give prob of sequence ysss.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 8) to base 15.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, l: 1, g: 1, y: 5, h: 2, o: 2}. What is prob of sequence go?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9596099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - sqrt(8)\/sqrt(2))*-3)\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.03 (b) -1\/9 (c) -5\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 1, d: 3}. Give prob of picking 1 l, 1 d, and 1 n.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m**2 - 9*m + 5. Let v be x(6). Suppose 5*q - 5*p - 254 = 3*q, 5*q - v = -3*p. List the prime factors of q.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16635 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 2*b**3 + b**3 - 2*b**4)*(-46*b + 18*b + 6 + 26*b).\nAnswer: -2*b**5 + 8*b**4 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 38*k**2 - 117*k + 432. Calculate the remainder when 106 is divided by t(35).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 + -0.06. Let c = -104\/3 - -532\/15. What is the fourth smallest value in f, c, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) 0.4 (c) 2 (d) -5 (e) 35144\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55094, -110175, -165268, -220379, -275514, -330679, -385880?\n\"Answer: -h**3 - 55074*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 11. Suppose -4 = -z*s + 6. Let x(p) = 3*p**2 + p - 2. Let n be x(s). Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/12888 and -47\/611588763?\nAnswer: 4892710104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Suppose -5*k + 6 = -z. Calculate the highest common divisor of 5 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -257*g**3\/6 + 3*g**2 - 222*g. Differentiate v(z) with respect to z.\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((-77)\/(-35) - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/3))**(-39\/4) assuming h is positive.\nAnswer: h**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s - 89*s - 174*s - 53*s + 60*s)*(s**2 + s**2 - 4*s**2).\nAnswer: 552*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2477, 18472, 5 in decreasing order.\nAnswer: 18472, 2477, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4832 - 3.5. Round c to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-536 - -1)*(-35946)\/90 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 991.7952 millilitres?\nAnswer: 0.9917952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.76 + 0.06. Let d = -3.7 - q. Sort d, 0.3, 2.\nAnswer: d, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 7. Let s be b(3). Let w(o) = -436*o**2 - 11*o - 8. Let g be w(s). Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 774, 7143, 19110, 36675?\n\"Answer: 2799*x**2 - 2028*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from pikupsskusukpikkiup.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111102 (base 4) to base 15\nAnswer: -60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-1020)*25*4\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -115.02. Let p = 0.3 + n. Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (sqrt(10)\/sqrt(2) - sqrt(5))*-6 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-9)\/3))\/((-5)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136435923 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 85. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Let o(n) = -n**2 + n. Let b(k) = 2*k**2 - 4*k. Let w = -7 - -11. Let q(z) = w*o(z) + b(z). Determine h(q(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 51) + (-167 - -169 - (-3 - (-5 - 1)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = v + 171500009, 171499997 = -46*v + 45*v + j. Round v to the nearest one million.\nAnswer: -172000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558403605?\nAnswer: 3, 5, 773, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 852552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 249539463 and -1.\nAnswer: 249539462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = -3*a - 29*b + 18, 14 = a - 2*b. Sort 2, 1, -5, a.\nAnswer: -5, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*r - 4 = 0, -5*k + 30 = r + 46 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 s, and 1 w when four letters picked without replacement from {e: 2, q: 4, w: 2, b: 1, s: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 5*n**2 - 3*n - 4. Let x be r(2). Solve 0 = 3*j + x - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022010 + -12?\nAnswer: 21021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0226 + 52.5774. Let g = -53 + y. What is the smallest value in 0, -2\/7, g, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490875012 to the power of 1\/3, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o. Let i(f) = 5*f - 3. Let s(x) = -56*x + 34. Let n(g) = 68*i(g) + 6*s(g). Let q = 25 + -18. Determine q*n(v) - 6*z(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 5*i**5\/4 - 17*i**3\/6 - 20*i. Find the second derivative of n(f) wrt f.\nAnswer: 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 1268, 1899, 2530, 3161, 3792?\nAnswer: 4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 16333e8?\nAnswer: 16333eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z - 237 + 237 + (-1 + 0 + 3)*(0*z - 3*z + 2*z))*(4*z - 2*z**2 - 4*z).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 351, 2540 in increasing order.\nAnswer: 5, 351, 2540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -1, 4\/3, 1\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s**2 - 12*s**2 - 4*s**2 - 28*s**2 + s**3 + 2*s**3 to z + a*s + u*s**3 + o*s**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 6. Let t(o) = 1. Let m be 3*(4 - (-6)\/(-2)). Suppose -m = 5*d + 2. Calculate d*j(q) + 6*t(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) 1\/12 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**7\/420 - y**4\/24 + y**3\/2 - 4*y**2. Let d(k) be the first derivative of n(k). Find the first derivative of d(j) wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4859036 = -4*h - 5*o, 1235 = -5*o + 1275. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -5, 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 1 + 5 - (sqrt(242) + 6*(sqrt(242) + -1))) + (-3 + sqrt(242) + -2)*2)**2.\nAnswer: -176*sqrt(2) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 19021000 to the nearest 100000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 18732.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 + 5*j. Determine f(5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(51)\/sqrt(3) + -6*(sqrt(17) - (sqrt(85)\/sqrt(5) + sqrt(17))) + -1 - (5*sqrt(34)\/sqrt(2) + -4)**2*-5.\nAnswer: -193*sqrt(17) + 2202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286*k**4*v + 2*k**4 - 3*k**3*v - 9*k**3 + 5142*k**2 - 16*k*v + 2*k wrt k.\nAnswer: -6864*k*v + 48*k - 18*v - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 65. Let b be 833\/102 - (-2)\/t. Solve -3*f + d = 0, 5*d = -f - 8 - b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 258, -3, 4, 5, 1 in increasing order.\nAnswer: -5, -3, 0, 1, 4, 5, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.98 - -1. What is the second biggest value in w, 0.2, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523398983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4420*a - 4430*a - 366 = 0, -186 = -b + 5*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 4*z**2 - 6*z + 8. Let h be s(6). Suppose 2*f + 2*f + 3*v - h = 0, -5*v = 0. What is the least common multiple of f and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 14\/9 (c) -3\/538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3771 + -3771. Let w(x) be the third derivative of 0*x**4 + 0*x**3 + 3*x**2 + 13\/30*x**5 + j + 0*x. Let o(f) = f. What is w(o(b))?\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1003?\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykskskyysskkkykk. What is prob of sequence sskk?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 5*y**2 - 1. Let p(g) = g + 4. Let l(k) = -2*k - 9. Let x(c) = 4*l(c) + 9*p(c). Calculate x(i(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let o(s) = 4*s + 5. Determine -2*o(i) - 11*r(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 13*g - 11. Calculate i(-17).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 538*h - 1092. Determine n(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**4\/2 - 631*p**3\/3 - p**2 + 2066*p + 4575. What is the derivative of z(a) wrt a?\nAnswer: 6*a**2 - 1262*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 12 + 6. Suppose m*y - 2*y = 0. Let h be y*(-1)\/(-10)*5. Solve -3*b + 12 = -h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 67666716.\nAnswer: -1\/11277786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 383368670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*m + 63, -s - 4*m = 1335 - 1278. Let i be ((-3)\/(-7))\/(9\/(-6)). Which is the nearest to s? (a) -5 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55708, -55709, -55710, -55711, -55712, -55713?\n\"Answer: -v - 55707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 89*o - 42. Let g be l(44). Is g\/(4 + -3)*(19 + 2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let i = 73\/8 + -463\/56. Which is the closest to y? (a) i (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8382 - 8257. Suppose 0 = 2*z + 2 - 38. What is the remainder when g is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/19 - 9948*q**3\/19 + 3426504*q**2\/19 - 90114640*q\/19 + 32485824 = 0 for q.\nAnswer: 14, 342, 4604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441556, -883110, -1324664?\nAnswer: -1766218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 98ce - 35?\nAnswer: 9899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 76, 9 in decreasing order.\nAnswer: 133, 76, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and -372.1.\nAnswer: 104.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407 and 198?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 571 = -679. Suppose 0 = 2*t + k + 302, -2*k + 745 = -4*t + 157. Let j = w + t. What are the prime factors of j?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -1\/9*w**3 + 5\/72*w**4 + 1\/360*w**6 + 0 - 2*w**2 - 1\/45*w**5 + 0*w. Factor z(k).\nAnswer: (k - 2)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 33 + 31 + 17*j**3.\nAnswer: 13*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364*0.4.\nAnswer: -145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*q**4 - 3*q**2 + q + 0 - 7 + 0*q - 5*q**3 + 4*q**3 - 88*q**4 as j*q + i*q**3 + c + m*q**4 + h*q**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:41 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*b = -0*j + 11, -4*j = b - 1. Let a(i) = -4*i - 1. Let d be a(-1). Let o = d + 1. Calculate the greatest common factor of j and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + -5*-2*sqrt(6))\/(1*sqrt(192)).\nAnswer: 11*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1329 + 1485*z**2 + 1392*z**2 + 1328*z**2 + 3586 + 1398*z**2 wrt z.\nAnswer: 11206*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.68 - -2.5.\nAnswer: 7.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 294*y**2 - 6795*y - 14742 = 0. Calculate y.\nAnswer: -117, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 34\/3. Let p be ((-2)\/(-4))\/(((-6)\/(-4))\/(-3)). Let u be 2\/6 + 1\/(-3). Which is the nearest to p? (a) u (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/3*(609\/(-14))\/(-29).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 5336995 = -12*x - k, -1778995 = x + k. Round x to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263513668 to the power of 1\/3, to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12499*p + 20. Let f be z(-20). What is f rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/(2 - 48\/30). Is (-15256 - 5)*z\/(-12)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 64. What is the remainder when 31 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Suppose s = f - 2. Solve 0 = -c + f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4079*l - 4138*l**2 + 8138*l + 1 - 1 - 4059*l + 4137*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*s = 4, -9 - 19 = 3*l - 4*s. Let j(w) = -w**2 - 4*w + 3. Calculate j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/3))**(8\/11)*t*(t\/(t*t**(-7)))\/t*t\/(t\/t**(3\/8)))**(-49))**(31\/4) assuming t is positive.\nAnswer: t**(-3151925\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*g**3 - 67*g - 995?\nAnswer: -39*g**2 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -9378, -11, -5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from yyzgvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 70. What is the first derivative of 29 - 17 - 2*i**2 - l wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:19 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*g - 0*c - c, -g + 2*c = -7. Let h(t) be the second derivative of g*t + 0*t**3 + 0 + 0*t**2 - 1\/4*t**4. Let q(u) = -4*u**2. Give q(h(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 482, 475, 468?\n\"Answer: -7*i + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-105)*(-252)\/112\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181.4 + -181.7. Which is the second smallest value? (a) h (b) 2\/57 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101942129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 1:17 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 16 = 4*v, 75*v - 70*v - 20 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141798?\nAnswer: 2, 3, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4*f - 6. Let c be k(-6). Suppose c*a + 5*t - 14 = 3*a, 5 = 5*t. Suppose -a*o + 9 - 24 = 0. Put 5, o, 4 in ascending order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290041?\nAnswer: 290041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*t - 32, -3*t = -x - 8. Calculate the lowest common multiple of 3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 221\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42911.75nm to centimeters.\nAnswer: 0.004291175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-248*s**2 - 566*s**2 + 216*s**2)*(-3 + 2*s + 3)*(-2 + 2 - s) to the form x*s + g + j*s**4 + a*s**3 + q*s**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 421 + -418. Solve -4*x = -b*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -6*g + 3*g - 17, 3*y + 11 = -4*g. Let n(b) = -b**3 + 2*b**2 - b. Let c be n(y). Suppose 2*i - c = -3*i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -326 + 1636\/5. Factor -2*w**2 + o*w + 18\/5 + 2\/5*w**3.\nAnswer: 2*(w - 3)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - 0.15. What is the biggest value in s, -0.4, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2448673*j**5 - 1654763*j**2 wrt j?\nAnswer: 146920380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*i + i + 12, -3*i + 12 = r. Let b(x) = -6*x + 4 + x**3 + i*x**2 + 5*x - 2*x**3. Is b(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 343, 343, 337, 325, 307, 283, 253?\n\"Answer: -3*m**2 + 9*m + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -3, 96 in increasing order.\nAnswer: -3, 4, 9, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*b**2 - 26*b**2 - 11*b**2 + (8*b + 18 - 18 + (0 + 2 + 0)*(b + b - b))*(1 + 3*b - 1) to the form w*b**2 + p + g*b and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.531 * -36\nAnswer: -19.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18*r + 204. Let w be y(10). Suppose w*u + 14976 = 40*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/78)\/1*3612\/(179697\/597)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001149 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 3*r + 3*r)*(-6 - 88 - 90 + (-5 + 5 - 2)*(-2 + 1 - 1)) in the form w*r + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/17097 - -4485115\/17097. Let l = h + -259. Suppose l*c + 2\/3*c**3 - 4\/3 - 8\/3*c**2 = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17568 = 2241*h + 9204 - 119 + 9203 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2. Let b(z) = 3*z**3 - z. Let g be b(a). Suppose g*u + 6 = 24. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11034637.\nAnswer: 1151, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82727 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3598 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18482915490 minus 7777?\nAnswer: 18482907713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.479609 decades to millennia.\nAnswer: 0.08479609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 898.634 and -2.\nAnswer: -1797.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/3)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 83*y**7\/42 - 41*y**3\/6 + 13*y + 1. Find the second derivative of q(d) wrt d.\nAnswer: 1660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.101003145 + -0.1310051. Let i = s + 0.03. Round i to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7851067882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2, 1\/5, -86\/7?\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454784 (base 11) in base 10?\nAnswer: 723672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 2*d**4 + d**4 + (2*d - 2*d**2 - 2*d)*(-2*d**2 + 2*d**2 - 2*d**2).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-4)*2)\/(-1 - -7). Factor l + 1\/4*x**2 - 1\/2*x.\nAnswer: (x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8646652 divided by 14\nAnswer: 617618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33720.7 + 33718.7. Let f = 0.2 + -3.2. Let i = 1 + 0. Which is the closest to i? (a) r (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwwnfnfninny. Give prob of picking 1 i and 2 f.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*y - 14, -3*r - 2*y = 3*y + 16. Suppose -5*m + r = -12. Suppose 2*k = -k + 9. Solve k*o + 9 = m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 143*t - 22. Let j = 126 - 119. What is the units digit of g(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 7 = 4*w + p, -w + 23 = 4*p. Let h(v) = 5*v**3 - 4*v**2 + 4*v**2 + w*v - 2. Let m(d) = 6*d**3 + 4*d - 3. Give 5*h(y) - 4*m(y).\nAnswer: y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m\/m**(-34))\/m)*m)*m\/(m\/(m*m**(-7)\/m)*m))**(-2\/79) assuming m is positive.\nAnswer: m**(-50\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.7363 + -0.2637. Which is the fourth smallest value? (a) j (b) 3\/8 (c) -0.008 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:57 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 822 = 11*q. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -0.5, -0.43, 27, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212 + 217. Suppose -p*u + 568 = -u. List the prime factors of u.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1590 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/l*l\/(l*l**(-5)*l))**47\/((((l*l*l\/(l*l**(2\/7)*l)*l*l)\/l)\/l**(-3\/5))\/(l**0)**(-32)) assuming l is positive.\nAnswer: l**(16207\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - 13*p + 26. Let z(a) = 11*a**2 - 34*a + 78. What is -17*s(d) + 6*z(d)?\nAnswer: -2*d**2 + 17*d + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3\/(-9)) + -4 + 159. Let s = y - 152. Solve s = 2*x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (1 + sqrt(32)) - (sqrt(2) + sqrt(2) + sqrt(2) + -1 + (sqrt(2) - (sqrt(2) + 0))))**2*2*2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, f: 3, g: 1}. What is prob of picking 4 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08624228 rounded to three dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Suppose 3*x + 15 = l*f, 0 = -5*f - 2*x + 5 - 1. Suppose 0*u - 4*u + 4 = 0. Solve -3 = -y - f*o, y = -o + 1 + u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 + 531*k - 64 + 185 - 58 to b*k + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4365, 8728, 13091, 17454, 21817?\nAnswer: 26180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380191402?\nAnswer: 2, 1597, 119033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -70*o**3 - o**2 + o + 1. Let y be u(-1). Let i be 9\/((-27)\/(-66))*20. Suppose -x = k - 10 - y, -5*x + i = -4*k. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -358 + 376. Solve 0 = -2*q + 6, -m*f + 14*f = 2*q - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24521\/5395 equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 581798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1\/16 (c) -2\/33 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 1015, 2319, 4145?\nAnswer: 6493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 (base 10) in base 14?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) + 14\/(-3). Let n be (u\/4)\/((-4)\/(-114)). Let s = -28 - n. Find the common denominator of 53\/18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 32 - (-26 - (-20148)\/(-803))?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7469?\nAnswer: 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, q: 1, r: 2, h: 3, m: 2, d: 6}. What is prob of picking 1 h, 1 m, and 2 d?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378803 is divided by 652?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -0*k - 42*c - 214, 0*c + c - 27 = 8*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*y + 5, 4*s - 3*y = -0*y - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 29 = -5*x + 23, -5*x = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1241\/7 - -177. Let t = -179.3 + 178.9. Which is the third biggest value? (a) t (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3614 (b) 4 (c) -2\/15 (d) 3\/14 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67076.\nAnswer: 2, 41, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 6645 = -6405 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*k - 45, -4*t + k + 23 + 28 = 0. What is the remainder when 20 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -108. Suppose -s*a = -5*a - 26. What is the third derivative of 13*n**a + 32*n**3 + 5*n**2 - 23*n**2 wrt n?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 6:27 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 8. Let v be m(-5). What is the derivative of -2 + v - 2*c**3 + 5*c**3 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243 + 249. Which is bigger: z or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -3. Suppose 0 = -2*j - 5*p - 0*p + 11, -2*j = 3*p - s. Suppose -w = j*w. Solve 4*m + m - 5 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -579*f + 583*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300885 by 39.\nAnswer: 7715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010653 rounded to six dps?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618489984 to the nearest integer?\nAnswer: 24869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, l: 6}. What is prob of sequence lp?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptx when three letters picked without replacement from xumtrrp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41133413 (base 8) to base 6.\nAnswer: 510230415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1 + (0 - 3 + 5)*(-1 - 4 + 3))*(6 - 4*n**4 + 14*n + 10 - 13*n) to a*n + h + g*n**4 + p*n**3 + b*n**2 and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/7 + 723995*z\/7 - 723988 = 0.\nAnswer: 7, 723988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 454.9 - 455. What is the nearest to w in -2, -1.3, -5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 - 139. Suppose r*n + 3924 = 128*n. What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11043034040 (base 5) to base 11\nAnswer: -6901301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -598859 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 5*x**2 - 3*x + 3. Suppose 6 = 4*u + 30. Let r be (u - -4) + -1 + 8. Give p(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 55. Let f be (o - -4)*3\/(-18)*2. Let u(q) = -q. Let r(g) = -6*g. Suppose 0*d = -2*d - 10. Give d*u(s) + f*r(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.3, -8, 1.36, 1\/4 in decreasing order.\nAnswer: 9, 1.36, 1\/4, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 12*g**5\/5 + 72*g**4\/5 + 63*g**3\/5 - 123*g**2\/5 + 36*g\/5 = 0.\nAnswer: -4, -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 437.348 and 4.\nAnswer: 1749.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -7.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 2*o**4 + 0*o**2)*(3942 + 6051 - 705 - 189 + 2180)*(3 + 0 - 1).\nAnswer: -45116*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 71, 108, 143, 176, 207?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9559 and 127292.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477 and 6411887?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i**2 - 6*i**2 + 30*i**5 - 3*i**2 + 28*i**5 wrt i.\nAnswer: 3480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*v + 75*v + 9 = 0. Let s(t) = -t**3 - t**2 + 4*t - 1. Give s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257957\/1566114 - 167\/1167. Let i = z - -7\/61. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-158)\/(-22) - 6\/33. Suppose c*k - 6*k = 0. Is -4 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.27 * 0.8\nAnswer: -10.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80271501 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126661 (base 7) to base 11.\nAnswer: -17042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 4. Determine g(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4\/9 (b) -0.2 (c) -3506\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-4\/3))\/d)\/d)\/d**3*d**4*d**(3\/11))\/((d**(-1\/8)*d)**(2\/65))**(-18) assuming d is positive.\nAnswer: d**(-2471\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 + 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152273 is divided by 192016?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2\/3*z**4 - 12*z + 0 - 1\/20*z**5 + 0*z**3 - 5*z**2. What is the remainder when 154 is divided by h(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48475 is divided by 103?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 + 15*n - 40. Let q(v) = -v**2 - 5*v. Let j(i) = 5*q(i) - r(i). Let w be j(19). Factor -10\/3*g + 8\/3*g**w + 0 + 2\/3*g**3.\nAnswer: 2*g*(g - 1)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7677 - -7744. Solve -55*j - m - 43 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 - 4780 - 4783 + 1192 + 8371.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19392366 a multiple of 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 29. Let l(o) = -o**2 - 5*o - 4. Let m be l(-4). Let f be (2 - m)*(-1)\/(-21). Which is the third biggest value? (a) z (b) -1\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 49*y = -7245. What is the highest common factor of y and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 15*a - 14*a + f, -29 = a - 5*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let d = 5051 - 5046. What is the nearest to 1 in -2, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8 - (-75)\/2. Let l = 49 - r. Sort l, 0, -5 in decreasing order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 20 = 0. Let i(p) = -p + 4. Let u be i(z). What is the third smallest value in 0.2, u, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*k**2*r - h*k*r + 49*h*k - 282*h*r + 259184*k**2 - r wrt h?\nAnswer: 2*k**2*r - k*r + 49*k - 282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4, -105, 2\/239 in decreasing order.\nAnswer: 4, 2\/239, -24, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2145 + 392. Let v = c + -1386. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000731 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.038163l?\nAnswer: 1038.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**(-4))\/w))**(-1\/92))**25 assuming w is positive.\nAnswer: w**(-125\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/5 + 4\/10. Let r be p + -2 + -3 - -3. Suppose -4*n + 6*s = 2*s - 20, 5*n - r*s = 22. Solve -n*h + 12 = 4*i, -5*h = 2*i - 25 + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*c + 2*c**4 + 71*c + 2 - 1 - 311*c**3 + 315*c**3 + c**2 to p*c**2 + x*c + b*c**4 + d*c**3 + w and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 140. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - 14\/(-6) - 0. Put -0.1, 4, -67, q in decreasing order.\nAnswer: 4, -0.1, q, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76258524 rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = 91*a + 15551 - 791935. What are the prime factors of a?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/3, -314 in ascending order.\nAnswer: -314, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271702 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*t - 10, -d - 10*t + 20 = -6*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.31 rounded to the nearest 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*t + 22. Let b(r) = -1 + r**2 - 3 - 4 + r + 9*r. Let m be b(-11). Solve -5*n = 4*w - m*w + 29, -5*w + 5*n + t = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3391\/2 = 1696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 + 132947*n\/6 - 199407.\nAnswer: -(n - 132938)*(n - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -39.99 times -2.2\nAnswer: 87.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789452698 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, b: 10}. Give prob of sequence yy.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.16. Sort f, 0.5, -0.5 in decreasing order.\nAnswer: 0.5, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:14 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19*o + 0*o**2 - 5*o**2 - o**3 + 31*o - 6*o - 2. Determine n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 16*q + 36. Let s be z(19). Let m = s + -86. Solve -2*l + m = -9*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 2, i: 1, z: 4}. What is prob of picking 2 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 36\/11 (b) 0.2 (c) -5 (d) -0.3 (e) -1 (f) 13\/192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.4583us to nanoseconds.\nAnswer: 988458.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -38. Let d = -2.7 + g. Let n = 459.1 - 459. What is the closest to n in 3, 7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -30013?\nAnswer: 30012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxu when three letters picked without replacement from {e: 2, o: 2, u: 6, c: 1, x: 1, y: 7}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3843 and 6363?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5958*n + 2354*n + 2826*n + 1946*n + 5042*n as b*n + c and give b.\nAnswer: 6210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419950 is divided by 34949.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 28 = -30 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 110*r**3 - 312*r**2 + 8*r + 416 = 0.\nAnswer: -52, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 3*c + c**5 + (-3*c + 4*c - 4*c)*(-3*c**4 + 0*c**4 + 2*c**4).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*-7441.099.\nAnswer: 714345.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llxl?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {g: 3, s: 13, c: 2}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95337667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = k - 22, 0 = 3*f + f - 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -723, -1443, -2173, -2919, -3687, -4483, -5313?\nAnswer: -6183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-205 + 108 + 102 - 2*a**2)*(3 - 3 + 2*a) to v*a**3 + l*a + u + o*a**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v - 125 - 160. What is the highest common divisor of v and 710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-33) + (-304)\/396. Which is the nearest to -2\/39? (a) -3 (b) 2 (c) 4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13839063 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = 0, s + n = -n - 8. Let k be 68 - 7\/(28\/s). Let a = 65 - k. Let y(t) = t**2 + 6*t + 4. Determine y(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -7 + -40 + (-51)\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-16)\/(-24)*(2\/4)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35569735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30904?\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40966777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 - 22*u + 191. What is k(-15)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -17*d**5\/20 - 3*d**3\/2 - 16*d. Find the second derivative of m(r) wrt r.\nAnswer: -102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09451 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/4 + 7\/(-14). Suppose -6 + 4 = 2*q - p, 2*p - k = 3*q. What is the lowest common multiple of q\/3 + 1 - -6 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/5, 0.5, -129\/8, 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51041?\nAnswer: 43, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c - 17*c - 13*c)*(5 - 4 - 6)*(4 - 2 + 0).\nAnswer: 180*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 5*m**2 - 4*m - 3. Let a be -3 - (30\/(-6) + 8). What is v(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2858? (a) -1\/6 (b) -0.3 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -83.1. Let s = l + 7.3. Let o be 2*(-4 - -1)\/3. Which is the third smallest value? (a) 2 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**4\/30 + 46*m**3\/9 + 38*m**2\/5 - 2200. Find n such that j(n) = 0.\nAnswer: -114, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 0.06\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 - -2.33. Let x = w + -3. Let s = x - -0.401. Round s to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 - 2 + o + 138*o**3 - 278*o**3 - 7*o**2 + 136*o**3 in the form r*o + m*o**4 + t + q*o**3 + f*o**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18548, 36691, 54088, 70367, 85156, 98083, 108776?\n\"Answer: -62*s**3 - s**2 + 18580*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 10*v**2 - 23*v + 4. Determine y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176878.\nAnswer: 2, 29, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**5 - n**4 + 1. Let w(k) = 5*k**5 - 8*k**4 + 2*k**2 + k + 6. Let i(h) = -w(h) + 6*x(h). Determine t so that i(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 - 140. Put -0.1, -2\/7, 0, q in increasing order.\nAnswer: -2\/7, -0.1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6452670634 a multiple of 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -5*g. Suppose -w - 132 = -g*w. Suppose -l - 4*q + 26 = 0, l + q - w = 6*q. Solve 5*m = 3*a - l, 5*m = 5*a - 46 + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2 - p**2 + 5*p + 2 - 4*p - 2*p**3. Suppose -5*b + 5 = -0. Determine l(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5 - 2) - (0 + 7 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/171)\/(8\/(-6))*25\/((-500)\/1120)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {z: 4, i: 2, e: 2, m: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2747 times 0.1\nAnswer: -274.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:31 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 6*d + 4*d. Solve -5*a - 9 = -3*x, -4*x + d*a = 2*a + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 - 2*u - 3. Suppose -2*k - 4*b + 24 = 0, -5*b = -12*k + 16*k - 39. Determine h(k).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3 + 18*q**2 + 60*q - 200 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((-12)\/20)\/((-8)\/(-40))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {b: 1, l: 9, o: 1, m: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.93 - 17.9130016. Let k = 0.017 - d. What is k rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + k**4 + 0*k**4)*(-2602 + 2602 + 84*k)*(4 + 0 - 3) - 8*k**5 - k**5 + 8*k**5.\nAnswer: -169*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1011093*m**4 - 2*m**2 - 2*m + 93671 wrt m?\nAnswer: -24266232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z + 9. Let o(t) = 3*t - 5. Let j(k) = 5*o(k) + 3*q(k). Let s(y) = y - 1. Give -6*j(h) - 14*s(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1252*y**2 - 2448*y**2 - 725*y**2 + 1000*y**2)*(19*y - 4*y - 9*y) to x + n*y + w*y**3 + o*y**2 and give w.\nAnswer: -20550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7837*g + 411 = -7426*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 0)*1)\/((-24)\/36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 3*b - 1\/3*b**3 + 0*b**2 + 0. Let c(i) = 2*i**2. What is y(c(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*n - 38 - 2, -2*n = -5*l - 84. Let h be (l\/(-6))\/(2\/3). Suppose 3*t - 3*p - 16 = 47, 0 = h*t + 5*p - 102. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v. Let d(w) = -477*w - 63. Let q(f) = -38*f - 5. Let o(x) = -5*d(x) + 63*q(x). Let h(t) = -3*n(t) - 4*o(t). Let a(c) = -25*c. Give h(a(y)).\nAnswer: -150*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r - 44. What is q(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6*w - 5550. Suppose -4855 + 695 = -3*i - u, 2*i - w = -u. Let p = i - 676. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, p: 3, o: 6}. What is prob of sequence pkpk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3724\/3095 - -2\/619. What is the second biggest value in 3, v, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 65*v**3 - v**2. Let h be q(1). Let s = 68 - h. Let z(r) = 5*r - 9. Let w be z(6). Solve 1 = s*o + w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2820076.\nAnswer: 2, 7, 23, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -607, -1235, -1859, -2479, -3095, -3707?\n\"Answer: 2*u**2 - 634*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u + 8*u + 500. Let x = 412 - u. What is x rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 7533?\nAnswer: 7533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -6. What is the highest common factor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2 + sqrt(539) + -1 - ((sqrt(539) - (sqrt(539) + -1 - sqrt(539))) + -5)) + 0)*3)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*19288\/(-6 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 4*m**2 + 4*m. Let c(p) = -p**3 - 9*p**2 - 9*p - 5. Let r be c(-8). Let i be 7\/3 + 2\/r. What are the prime factors of b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2990048 and 2990050 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1902660?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -40. Let g(n) = 4*n**2 + 10*n + 8. Let u(s) = 3*s**2 + 9*s + 8. Let w(b) = -2*g(b) + 3*u(b). Calculate the lowest common multiple of w(-8) and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480354989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 278136, 278186, 278232, 278274?\n\"Answer: -2*r**2 + 56*r + 278082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shshsssshssssshsss. Give prob of picking 3 h.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2126256 + 2126260. Suppose -s = -3*s + 4. Factor 0*l**s - 10\/23*l**c + 8\/23*l**5 + 0 + 2\/23*l**3 + 0*l.\nAnswer: 2*l**3*(l - 1)*(4*l - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j - 85. Let x be (2 - -4)\/((-12)\/16). Give w(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 16*z + 0*z)*(-2528 + 19*z + 2528 + 2*z**3)*(z - z + z).\nAnswer: 24*z**5 + 228*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k + 9. Let s(c) = c - 12. Let o(b) = -b - 11. Let p(q) = 4*o(q) - 3*s(q). Let n(u) = 6*d(u) + 7*p(u). Give n(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.1 + -0.1. Let t = -529\/990 - -281\/495. Which is the closest to -1? (a) t (b) v (c) 0.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75706\/15 or 2\/5?\nAnswer: 75706\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -701693, -1403391, -2105089, -2806787, -3508485?\n\"Answer: -701698*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/387 - 1\/43. Which is the third smallest value? (a) u (b) 2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 1340*s + 89780 = 0. Calculate s.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15367 - 805. List the prime factors of w.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 474*l**4 + 104*l**3 + 161101*l**2?\nAnswer: 11376*l + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 115 = 8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 222?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264261075.\nAnswer: 3, 5, 13, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2\/5, -0.2, -3, -635?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -1)*(1130\/90)\/((-16)\/(-18))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*b - 12 = 0, -6 = -2*f - 3*b + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(80) + 0) - sqrt(80)) + (sqrt(80) - -2*sqrt(80)*5).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -67, -163, -293, -463, -679, -947?\nAnswer: -1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*f - 3788 = -57*f + 1792 + 5598 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 2*b + 5*b - 13 + 63.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 578 = -4*l, -6*s + 711 = 5*l - 4*s. Suppose 0 = -8*c + l + 41. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 2, l: 5}. Give prob of sequence ly.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**8\/168 + c**6\/60 + 5*c**3\/3 + 3*c. Let l(j) be the second derivative of n(j). Find the third derivative of l(x) wrt x.\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(228) + sqrt(228))*6 - -4*-2*sqrt(228))*2)\/(((sqrt(1200) - (2*(sqrt(1200) + -1*sqrt(1200)) + sqrt(1200))) + sqrt(1200))*-6).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 3*o**2 - o**3 + 3*o**2. Let y be v(-3). Is y at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5*(-10)\/8. Let p = 197\/200 - 34\/25. Put u, p, -0.2 in descending order.\nAnswer: -0.2, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 4\/(-12))\/((-24)\/(-126)). Solve -2*f + 25 = 5*w + 3*f, 0 = -w - 2*f + s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277932 by 23.\nAnswer: -12084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/270 - 1243*a**4\/54 + 1545049*a**3\/27 - 3672*a**2. Solve l(y) = 0.\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2057) + 0 + 3 + sqrt(2057)*1 + -1*-2*sqrt(425) + 0 + sqrt(425) + -2)**2 + -2.\nAnswer: 30*sqrt(17) + 3824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-11 + (0 - -1)))\/2. Let u(h) = h - 6. Let p be u(9). Suppose 126 = -p*t + 6*t. What is the greatest common factor of s and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2 - 2)*(-9 + 2*j - 11 + 4).\nAnswer: 2*j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8954 is divided by 1399.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 9, 6\/5, -0.1, -1\/5, 0.21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 7*w + 42372 - 127127 + 42378 + 42377.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89379618 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - -14 - (2 + 1). Find the second derivative of -8*q**3 - 6*q - a*q - 3*q - q wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 10*t + 72. What is s(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.6247429 rounded to zero dps?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = 2*v. Suppose 3*k + 6*y - v*y = 1171, -2*y = -k + 407. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 times 0.3\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 2 w when four letters picked without replacement from bppttwtttttwtwtt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:08 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130232 + 310332?\nAnswer: 3101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 70. Let x be 6\/(-4)*(-112)\/w. Let d = x + 11. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 - 238\/(-63). Suppose -p + 1 = 0, -2*p - p = -n*q - 3. Suppose q = 3*j + 5*o - 13, o = -j + 3*o - 3. Is -6\/13 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let h be 2 + 1 + (2 - a). Let 4*q**4 - 4*q**3 - 3*q**5 - 3*q**5 - 4*q**h + 10*q**3 = 0. What is q?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17533880701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723287 is divided by 316.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4002 is divided by 398?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 12206?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79087 and -0.4?\nAnswer: 31634.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3209.504568 rounded to one decimal place?\nAnswer: -3209.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 10:23 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + 2811. Suppose -z = -7*n - 8. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 578 - -7. Let n = b - 1105. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -103\/3, -0.5, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/11 (c) 23.1 (d) 1\/4 (e) 0.125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210530 and 109012434.\nAnswer: 545062170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56320620.26 and -3.\nAnswer: -56320623.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6342542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-2)\/4 + 1. Differentiate -5 + 8 + 3*x**2 - w wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 16*i - 30. Give b(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3312\/(-190))\/(18\/(-60)). Let y = -58 + s. Put -2\/7, y, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 0.1. Let b = -2.7 - -1.6. Let z = n + b. Put 3, 1, z in decreasing order.\nAnswer: 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 47*t**9\/252 - 23*t**5\/30 - 10*t**2 + 4. What is the third derivative of k(z) wrt z?\nAnswer: 11280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.74, 3, -3, 6\/23?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 61615647?\nAnswer: 61615642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 11. Suppose 0 = -2*k - n*k - 20. Let w be 4 + 3 + k - 6. Sort 0.08, w, 3 in increasing order.\nAnswer: w, 0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3450*v**2 + 175*v. Let q(u) = 119*u**2 + 6*u. Give 175*q(c) - 6*z(c).\nAnswer: 125*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/299504523 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -10. Suppose -8*r + c = -3*r. Suppose -i - 24 = -r*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(102)\/(sqrt(30)\/sqrt(5)) + sqrt(17) - (3 + sqrt(1377)) - (-3 + ((-1*sqrt(1377) - sqrt(1377) - sqrt(1377))*6)**2)).\nAnswer: -446148 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.89688*-19.\nAnswer: -74.04072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 70521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28656098713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8463 and 10699?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 8*m + 9. Let r be y(-7). Let u = -5 + 4.7. Which is the nearest to r? (a) u (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:56 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.2 - 8. Let x = 2 - -1. Which is the second smallest value? (a) 5 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295358050 divided by -5\nAnswer: 59071610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 112*f + 34*f + 66*f to the form k*f + l and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102827\/2618 - -432\/11. Let v = a - -491\/3570. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -9, -218 in descending order.\nAnswer: -9, -39, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 19 - 11 - u + 6 in the form p + m*u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 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: What is -10.6465389 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001010100 (base 2) to base 12.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 3680*u**3 - 15*u**2 + 11030*u + 7360.\nAnswer: 5*(u - 736)*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55331 - 55281. Calculate the lowest common multiple of 112\/20 + (-2)\/(-5) and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 4, -6.\nAnswer: -6, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36467915 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 10. Calculate a(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a6926 (base 11) in base 9?\nAnswer: 532217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.258 - -0.058. Which is the closest to -1? (a) j (b) 1\/6 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -949 + 2228. What is z rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*((-4 + 3*sqrt(320) - (3 + 2 + sqrt(320))) + (-6*(-2 + sqrt(320)) - (-2 + sqrt(320))*-3)))**2.\nAnswer: 3840*sqrt(5) + 26320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5\/13 + 152*s**4\/13 + 6772*s**3\/13 + 48224*s**2\/13 - 240050*s\/13 - 281656\/13 = 0.\nAnswer: -19, -17, -1, 4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17065 less than -0.9?\nAnswer: -17065.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-4 - -7) + 1. What is the highest common factor of q and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -6, -0.11, -0.4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -261*((-45)\/105)\/((-270)\/(-70))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2197 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -31*n. Let y(r) = 11*r + 81. Let b be y(-7). Let i(c) = b*c - 30 + 30. Determine i(f(o)).\nAnswer: -124*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306 + 625. Suppose 5*n = -4*v + 262, 5*v - o = -n - n. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -83, -123, -163, -203?\n\"Answer: -40*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5146 and 230408.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1809*y + 1942*y - 4021*y in the form u + b*y and give b.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3684 - 1224 - 238*i - 1231 - 1431*i - 1229.\nAnswer: -1669*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -364695.696 to the nearest one hundred.\nAnswer: -364700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 - 35*k + 192. Let p be c(-10). What is the smallest value in 5, 2, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.5, -799, 1\/432, -2\/15, 1\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {o: 4, e: 4, l: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p + 4*p)*(5*p - 166 + 166 - 2*p**2).\nAnswer: -14*p**3 + 35*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + 242. Let m = -197 + i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 61. Suppose i = -4*q - q + 565. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*sqrt(1900) + -4.\nAnswer: -9 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*-2 + -1 + -4.\nAnswer: -18*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9, 0, -11, 147 in increasing order.\nAnswer: -11, -9, 0, 8, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05113 - -0.04887. Which is the nearest to 0.05? (a) -0.2 (b) 2\/9 (c) z (d) 0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**4 - 973*w**3 - w + 47430?\nAnswer: -4*w**3 - 2919*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 6858.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 258790?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a599 + 117?\nAnswer: 4a6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64, 242, 540, 958, 1496, 2154, 2932?\n\"Answer: 60*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {h: 1, d: 4, c: 4, j: 3, k: 5, v: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01765 + -0.11765. Which is the nearest to v? (a) -0.1 (b) 11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33041, 133302, 300757, 535400, 837225?\nAnswer: 1206226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*d - 121 + 36, 3*d = 4*c - 125. Let l be (-33)\/1*(7 - 6). Let m = c + l. Solve w - 5*f + 4 = 0, w = 3*f - m*f - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 1 + 1 + 17*k - 3*k + 41*k + (2*k - 1 + 1)*(-1 + 5 - 3) + k + k - k - 6*k + 2*k + 2*k + k + 4 - 4 - 1.\nAnswer: 58*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -23, 0.1, -3, -2\/5, 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kbkkkkkkbbbbbkbbbbk.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*a**2*n**3 - 4*a*n**3 + 6*a*n - 4*n**2 wrt a?\nAnswer: 624*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 196 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 35, 98, 199, 344, 539?\n\"Answer: f**3 + 10*f**2 - 6*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o + 7 - 23 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 4 - -8) + (1151 - 10). Calculate the highest common factor of 360 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.1. Let r = g + 0.8. Suppose -2*y = -11 + 3. What is the third biggest value in 0, y, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Suppose 275 = t*m + 4*w, -3*m + 8*m + 5*w - 460 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6)*156\/(-8). Let v = -8 + g. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/41? (a) -0.2 (b) -7 (c) 0.5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28242668, 28242664, 28242660, 28242656, 28242652?\nAnswer: 28242648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 27*k**2 + 2*k + 10. Does 15 divide u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 4\/3 (c) -0.1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + -31 + (2 - -4) + 2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*3\/(-6) - 1. Solve 5*y + 26 = 4*s, 2*s - 2 - q = -2*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1. Let g(p) = -4*p + 16. Suppose 5*x = l + 1, 1 + 0 = -3*x + l. Give x*g(i) + 16*d(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/15 + 33*z**2 + 3. Let j(p) = 16*p + 3. Determine g(j(u)).\nAnswer: 1024*u**2 + 384*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - 4*w**2 - 2*w**2 + (2 + 1 - 4)*(4*w - w - w)*(260*w - 900 + 900).\nAnswer: -522*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 u when three letters picked without replacement from {k: 4, d: 2, u: 2, r: 1, a: 6, j: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - b8a3?\nAnswer: -b892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1799*t - 18104 - 6126 = 4554 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115661 and -25.4.\nAnswer: -2937789.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216*0.1.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 9*f**2 + 7*f - 14. What is t(6)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100109983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.47304537 to 2 decimal places.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0617 + -0.0517. What is the third biggest value in -5\/7, c, 0.2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.39 - -41.39. Which is the closest to -2? (a) 1.3 (b) s (c) 0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13094201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/m**3*m**4\/m*m\/(m*m**(1\/2)) assuming m is positive.\nAnswer: m**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554a (base 13) in base 5?\nAnswer: 2243303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z + 2 + 0*z - 1)*(-6 + 6 + 12*z).\nAnswer: -12*z**3 - 12*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -24 - 28. Let h = j - -24. Let q(a) = 2*a. What is the remainder when h is divided by q(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 10 - 2. Suppose k = 2*b + 570, 0*k - 3*b - 565 = -k. Let y be (k\/6)\/(1\/w). Round y to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 117.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2496600 and 63?\nAnswer: 17476200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/30)\/(1\/(-1)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4333 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -57932000 to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouuu when four letters picked without replacement from oouudduoo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Suppose -7 = 3*a - 4*a. Suppose 2*l - a*l = -30. Let m(f) = l*f + 10 - 10. Calculate t(m(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x**2 + 1\/2*x**4 + 0*x + 4\/3*x**3 - 3. What is the third derivative of l(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (-726)\/(-18) + 1\/(-12) + 5\/(-20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 5, w: 1, p: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 21 + 8 = 5*w, -3*w + 3*t = -27. Suppose 4*q = 26 - 10. Suppose 2*k - 12 = q*y, 4*k - 4*y - 16 = k. Solve -w*x = -3*s + 2*s + 28, x + 17 = k*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2727 - -2726. Let p = -5.5 - -5. What is the nearest to 1\/3 in 3, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 12*a - 2. Let v be n(12). Let z be 4\/5*10\/(-4). Is z not equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1039 and 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.22 + 0.26. Let x = l - -1.96. Let d be ((-1)\/5)\/(12\/(-15)). What is the nearest to d in -2\/13, -2\/7, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (1409 + -1361 - (0 + 15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.236 times -2.6?\nAnswer: 104.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 4)**2 - (sqrt(32) + -2))*3.\nAnswer: 156*sqrt(2) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, g: 9}. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 3*c**2 + 2*c - 2. Let n be z(2). Is (254\/6)\/((-6)\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 42, 4910?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/6)\/(u\/(u*(u**30*u)\/u*u))*u\/(u*u*u**(-3\/10)*u)*u\/(u\/(u\/(u**(-15)*u))) assuming u is positive.\nAnswer: u**(667\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 25*y**3 + 27*y**2 - 11. Let n(g) = 17*g**3 + 19*g**2 - 7. Determine 8*n(v) - 5*r(v).\nAnswer: 11*v**3 + 17*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*i + 0 - 3.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395666 is divided by 1199?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1074.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 25*m + 8 = 0. Suppose -7*n - 40 = -m*n. Sort n, -3, 1 in decreasing order.\nAnswer: 1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14052879*z**3 - 8243199.\nAnswer: 42158637*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/2 + (-5 - -10) + -1. What is the closest to 0.5 in -1, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9614a8 (base 13) in base 15?\nAnswer: -496bae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -130, -405, -956, -1879, -3270, -5225, -7840?\n\"Answer: -16*b**3 + 6*b**2 - b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*2912\/1248?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.574 and 111.4?\nAnswer: 110.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 0.3, -2\/15, -12604, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2869119009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*10\/(-6)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 6*m**2 - m - 2. Suppose 0 = -4*f + 3*a + 47, -2*f + 3*a = -2*a - 13. What is the remainder when f is divided by r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4264278 * -0.08\nAnswer: 341142.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.19, -17, -4\/3, 0.3, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1909 (base 14) to base 10\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Let v = 225 + -224. Which is the closest to 1? (a) -0.1 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 219*j**2 - 31*j - 9. Let s be k(13). Suppose -2*t = -i - s, t + 2*i - i = 18301. What is t rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 443, 1003, 1787, 2795, 4027?\nAnswer: 5483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 12*v**2 - 37*v + 14. Calculate the least common multiple of 20 and h(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.07 + -16.07. Sort 3\/8, d, 1\/5, -5 in descending order.\nAnswer: d, 3\/8, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1577922*l + 2884761 wrt l?\nAnswer: 1577922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2 + 4. Suppose -5 = -t + h, 0*t - 4*t + 6 = 3*h. Calculate the remainder when t is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 7*x - 3. Let o be k(-3). Find the third derivative of -106*h**2 + 22*h**5 - 2 - 6*h**5 + o*h**5 + 24*h**5 wrt h.\nAnswer: 2400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8114, 12515, 16916, 21317, 25718?\nAnswer: 30119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 141 = 768. List the prime factors of f.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/1*(-3518)\/(-24626)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -190833*f + 408014?\nAnswer: -190833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2480 and 180?\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/4*(-6)\/(-4). Suppose x*p = -p + 8. Suppose -p*j = j - 69. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 9:38 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {n: 5, g: 2, e: 3}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/237? (a) -1 (b) -3 (c) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (2 - 1) + 492\/(-41). Let t(l) = -22*l - 210. What is the remainder when t(r) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -93 (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 200 = -199 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 16 = -0. Let r = k + 11. Solve 5*d + 54 = 4*v + 18, 4*v - r*d - 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.84951 litres in millilitres?\nAnswer: 64849.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15*(0 + 2)*(-3)\/(-3). Suppose -4*b - z = -10. What is the remainder when 117 is divided by b*(-2 + (-3 - -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 - 4*v**2 - 7*v + 4. Let l(o) = 3*o**3 - 2*o**2 - 4*o + 2. What is -7*l(w) + 4*r(w)?\nAnswer: -w**3 - 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwfnh. Give prob of picking 1 h and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -136*r**3 - 10*r**2 - 24*r - 59. Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 27676*d**2 + 20*d - 40. Let f(p) = -12300*p**2 - 9*p + 18. What is -20*f(v) - 9*q(v)?\nAnswer: -3084*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + (sqrt(343) - (2 + 4 + sqrt(343))) + sqrt(343) + (-3 + sqrt(343))*2)*-3)**2 + 5.\nAnswer: -5670*sqrt(7) + 29813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -u + 9, 5*s - u = 4*u - 5. Suppose r + 5*d = -21 + 3, s = 4*r + d. Let q = 11 - 5. Solve c + r*p = q*p - 8, -2 = c - 2*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -313783, 45, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 0*d**2 + 0*d**2 - 88834*d**3.\nAnswer: -88834*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -0.5, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 36. Solve 0 = -q + p*x - 8, -q - x - 1 = 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + 7273*a + 2*a**2 - 14555*a + 7282*a to the form l*a + p*a**2 + x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-2)*((-4)\/12 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2097 + -2092. Which is the closest to -2? (a) t (b) -5 (c) 0.099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0 = 24. Calculate the common denominator of (-572)\/n*(-3)\/12 and -50\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3\/3 + k + 241. Let a(x) = -25*x**2 - 19. Determine a(j(v)).\nAnswer: -100*v**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -182, -190, -208, -242, -298, -382, -500?\n\"Answer: -q**3 + q**2 - 4*q - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122774 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 u when three letters picked without replacement from {n: 3, b: 2, u: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 34047137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-52 - (59 - 96)) + 8 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-264))\/(((-1)\/5)\/(160\/400)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 39*u**2 + 40*u - 74. Let b be k(38). Let f(z) be the first derivative of 0*z - 7 - 11\/2*z**b. Let a(q) = -q. Give a(f(x)).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)*a**(2\/7)\/a)\/(a**(-1\/3)*a**(3\/4)) assuming a is positive.\nAnswer: a**(-935\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Let s(n) = -n**3 - 6*n**2 + 6*n - 3. Let g be s(-7). Solve -m - g*j + 12 = d, -j - 2 = -6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328c0 (base 14) to base 16\nAnswer: 1de68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*p + 3, -4*m + 9*m = -p + 5. Let c be p\/(-3) + (11 - -4). Let s(o) = 2*o - 16. Is 10 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 18 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10*15\/6. Let p be (-2)\/6*(-30)\/(-8). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 21143121?\nAnswer: -21143131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -67. Suppose 25 = -7*b + 12*b. Suppose 4 = 5*i - 1, -b*t - i = -w. Calculate the remainder when 36 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 28*h**2 + 20*h - 71. What is b(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/63, -2\/11, -19, 2\/3, 85 in decreasing order.\nAnswer: 85, 2\/3, 1\/63, -2\/11, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -4313 - 7578. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 - 351. Suppose 4*l - 1843 = -3*v, y*v = 2*l + 527 + 697. List the prime factors of v.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 9, 26, 51?\n\"Answer: 4*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4 and -3 + 5\/(-19550)*-11915.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8 or -1002?\nAnswer: -1002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = -32*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3995 or 414.15?\nAnswer: -3995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/(-32) + (54\/(-8) - -6). Let g be (-1 - 12\/(-10))*-4. Which is the nearest to y? (a) g (b) 0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 5:28 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*r + 27, r + 5*i - 2 = 27. Suppose r - 2 = u. Let -3*t**4 + 3*t**3 - 9*t**3 - 2*t**2 - 3*t**4 - u*t**5 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 18*y - 57. Determine n(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4.762733 (b) -21 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 397 - 182 - 110 - 4*h**2 + 3*h**2. Let y(g) = -22*g**2. Calculate y(q(b)).\nAnswer: -22*b**4 + 4620*b**2 - 242550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:20 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13323841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:59 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 77*p**2 + 20*p + 15. What is the least common multiple of j(-1) and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1753679076 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Let c = 35 - 117. Let z = 91 + c. What is the highest common divisor of o and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -2, -13, -48, -113, -214, -357?\n\"Answer: -k**3 - 3*k**2 + 23*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 3*z - 12 + 31. What is the tens digit of y(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*v**4 + 2798*v**3 + 470431*v wrt v.\nAnswer: -588*v**2 + 16788*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 4 (c) 2583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42530, -89037, -135544, -182051?\nAnswer: -228558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1853)\/153 + 10 + 4\/(-18))*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.02303\nAnswer: -0.04606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5432 - -15604. What are the prime factors of r?\nAnswer: 2, 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from helhlldhlhddlllllll.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 22*t - 15, -2*t + 94 = 5*h. Solve -4*m + 8*m = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 171. Differentiate 14 - 21*v + 17*v + 4*v - n*v**2 with respect to v.\nAnswer: -138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 4*k**2 - 6*k**2 - 310 - 558.\nAnswer: -2*k**2 + 8*k - 868","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.701689ml?\nAnswer: 0.009701689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 minus 8401?\nAnswer: -8400.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b - 37. Let y be n(-8). Let a = y + 44. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1) + (-1 - -3). Let x(f) be the second derivative of 0 + 0*f**3 + 32*f + 0*f**2 - 11\/12*f**4. Calculate x(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -528 + 3758. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*m + 3*t, 2*t = 480*m - 475*m - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -17. Suppose -6*u - 6 = -3*u. Let c = a + u. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.422+-209.1513106987\nAnswer: -208.7293106987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42313148 - 410860?\nAnswer: -410860.42313148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956101159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62\/7*b**2 + 0*b - 157\/7*b**3 + 14*b**4 - 3\/7*b**5 + 0 = 0. What is b?\nAnswer: 0, 2\/3, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/12410 and -39\/200020.\nAnswer: 3400340","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 30 + 11 - 2*s.\nAnswer: -2*s + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -2, 5, 0.\nAnswer: -2, 0, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001221 - 1100100?\nAnswer: 201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t + 6*t + 20*t - 18*t + 8*t - 18*t - 4.\nAnswer: 52*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus -22431072?\nAnswer: 22431072.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/10*((-828)\/(-126))\/(-23).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (38\/4)\/((-1)\/(-2)). Suppose -i = -2*h + 1. What is the smallest common multiple of 15 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1991 or -1349?\nAnswer: -1991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 296*o**2 + 758*o**2 + 386*o**2.\nAnswer: 848*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + -14501063?\nAnswer: -14501045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) 719 (c) -25 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37847.1 millennia?\nAnswer: 3784710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 324818416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5 - m + 4 + 7*m**3 - 14*m**3 - m**2. Calculate r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -52*u**3\/3 + 5*u**2 + 9*u. Let z be a(-5). Suppose 3*f = 2*v - 296 - 213, -2*v - 4*f + z = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 5:47 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/8 - h**3\/2 - 3*h**2\/8 + h\/2 + 1\/2 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 89.\nAnswer: 40\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -331, 3, -2, -1 in descending order.\nAnswer: 3, -1, -2, -4, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 3)*(4 - 10 - 2 + (0 - 3 + 1)*(-3 + 1 + 1))*(-3149*n**3 + 3147*n**3 + 29 + 19) as r + d*n + i*n**3 + m*n**2 and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965230.2 tonnes to milligrams.\nAnswer: 965230200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Suppose -4*n + 9 = -3. Let h = 7 - n. Let y(o) = h*o - 2*o + o. What is y(j(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9719.425 millennia?\nAnswer: 116633100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/30 + 2\/6. Let t = -2.91 + -0.09. Let v be (-1)\/5 + 23\/40. What is the second biggest value in t, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-1 - 5)\/(-1)*(-24)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**5)\/u**(-5)*u**(-2)*u*u**(5\/3) assuming u is positive.\nAnswer: u**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264 - 270) + (-2 - -9 - 0) + -19.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 35. What is the remainder when (-8 - -4 - u\/(-3))*153 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*77*58\/13398\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 + 115. Let l(q) = -3*q + 6. Let f be l(6). Let x = f + 5. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 3, 0 in descending order.\nAnswer: 40, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 6*p)*(-18*p**2 + 22*p**2 - 21*p**2).\nAnswer: -51*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 + 5. Let i = -7 + a. What is the nearest to i in -2, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*((-3 + sqrt(288) + sqrt(288) + sqrt(288))**2 - sqrt(288)) - ((sqrt(2) + 2 + -2 + sqrt(2))*-6 + 4).\nAnswer: -39019 + 3432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 84, 138, 214, 312, 432?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 58, -0.5, 2.3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5870321 decades in months?\nAnswer: 70.443852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*i = -3*i - 8, 3*i + 16 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 34 - 50 = 0. Suppose -4*k + 878 = -142. Suppose k = g*p - 265. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -3, -10, -21, -36, -55, -78?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 0*y - 2*y**4 + 47*y**2 + 2*y + 26*y**3 - 6*y - 48*y**2 in the form c*y**3 + i + a*y**2 + m*y**4 + d*y and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = -2*u, -37*u + 5*o = -33*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urn when three letters picked without replacement from runufmururrntunu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 c, and 1 z when three letters picked without replacement from pcpczcppcpcppzp.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-seven fifths of a microsecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -559 + 33541\/60. Let m(n) be the third derivative of 1\/8*n**4 - 1\/3*n**3 + 0*n + 0 - u*n**5 - n**2. What is m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 100333944 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15bd89 - -1?\nAnswer: 15bd8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (145\/6)\/(16\/96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (5\/1 - -2). Suppose 4*q - 4*j = -52, 0 = 2*q - b*j - 2*j + 28. Is (48\/(-10))\/(q\/510) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.026? (a) 2 (b) 2\/5 (c) 1 (d) -0.3 (e) 148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93 - 53 + 169*o + 363*o**2 - 40 wrt o?\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/120 - s**5\/60 + s**3\/3 - s**2. Let m be l(2). Let o = 50 + -49. What is the smallest value in 0.1, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - 1 + 1)*(-131*w**2 - 124*w**2 + 254*w**2 + 6*w) to v*w**3 + a + d*w**2 + z*w and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 493318878 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 2. Let g(h) = 60*h**5 - 277*h**4 - 473*h**3 - 148*h**2 - 19*h + 14. Let o(u) = 3*g(u) - 21*y(u). Let o(q) = 0. Calculate q.\nAnswer: -1, -1\/4, -2\/15, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2323*w**2 + 339278 + 4*w - 4*w - 339278 to o*w + s + k*w**2 and give k.\nAnswer: -2323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3375 is divided by 3301?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 69*w**2 + w**3 - 72*w**2 + w + 0*w. Let x(u) = -2*u**2. Determine 2*c(p) - 3*x(p).\nAnswer: 2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2152581700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 258*c**2 - 8448*c + 8192.\nAnswer: -2*(c - 64)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/36)\/n))\/(n\/(n**(12\/13)*n))*n**(-13)\/n**44)**(-3\/10) assuming n is positive.\nAnswer: n**(5059\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -14. Suppose -2*g = -o*g + 870. What is the remainder when g is divided by (-153230)\/(-3465) - (-4)\/(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a factor of 3625428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 55643688 and -0.4.\nAnswer: 55643687.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -t + 5*t - 4*c, 5*t = 3*c - 17. Let b = 5 - 3. What is the nearest to t in -2\/5, 3, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19922 + 17*q**2 + 19992 + 124*q**2 in the form p*q**2 + k*q + o and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -69. Let s = -37 + v. Let r be ((-2)\/12)\/((-2)\/(-20)). Sort r, -3, s.\nAnswer: -3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 28*a + 219 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) -4 (c) -1 (d) 11.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10855925?\nAnswer: 5, 434237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002282966 rounded to 5 dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 3375 - 3*h + 4*h + h**3.\nAnswer: h**3 - 3375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26374 > -612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 338760930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5541745996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-4*g**5 - g**5 + 4*g**5) + (-g**4 + g**3 - g**3)*(g - 3*g - g).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 + 470. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 3, -164 in ascending order.\nAnswer: -164, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 11*c - 30*o + 34*o, 19 = 3*c + 2*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 536, 1637, 3782, 7319?\nAnswer: 12596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/3023?\nAnswer: -7\/3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67370?\nAnswer: 2, 5, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-779)\/1550 - (-6)\/12. Let u = j + 7913\/3100. Calculate the common denominator of 3\/2 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2880 and 11160?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -198b?\nAnswer: 1993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2927*x + 2925. Determine i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114443 - 2?\nAnswer: 114441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 10*t - 155 - 149 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3973980 is divided by 985.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x**3 + 3*x**3 + 5*x**4 - 57*x + 424*x + 246*x wrt x.\nAnswer: 60*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, -0.3, -5.4, 4, 1\/4 in decreasing order.\nAnswer: 4, 3.4, 1\/4, -0.3, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -13. Let c = z + 17. List the prime factors of (-86)\/(-3) + 20\/c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15160.36ng in tonnes?\nAnswer: 0.00000000001516036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 0*l + 29 + 91 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - 4*r)*(0 + 0 - 2*r**2 + 0*r + 0*r + 3*r**2 + (-4*r + 3*r - r)*(-3*r + 4*r + r)).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/9)\/(2\/(-72)). Let n = -1784 - -5423\/3. Let d = n + i. What is the nearest to d in -5, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 9029 - 18471 = 0. Calculate the remainder when t is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4253759.\nAnswer: 4253759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 825449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 0 + 0*t**3 + 0*t**2 + 5\/12*t**4 + t. Let m(j) = j**2. Determine m(y(x)).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:01 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 497 - 25*u**4 + 29*u**4 + 8*u**3 - 526 to l + s*u**3 + o*u + g*u**2 + v*u**4 and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*x - 30 = 0. Let b = x + 3. What is the remainder when b\/(-10) - 3082\/(-115) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 4*j + 3. Let v be g(-3). Suppose -5*r = -f - 16, v*f + 15 = 4*r - 3*f. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10736\/(-1144))\/((-4)\/(-2)) - (1 + -6)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 43 = z, 2*z + 19 = -4*k - 39. What are the prime factors of (-3)\/(-18) - 202\/k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 15*s + 5*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + -1*sqrt(4)*-1)\/(sqrt(6)\/sqrt(147)).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-68) + 3)\/((-130)\/(-26) + -9)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -7*a + 9*a. Let y(q) = -q**2 + 18*q - 18. List the prime factors of y(a).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -58*x - 22. Let k be c(-9). Suppose -4*u - f = -4*f - 1980, u - k = 2*f. Suppose j - 5*b = 90, -5*j + 4*b = -0*j - u. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 423 - 425. Let d(m) = -239*m + 72. Calculate the remainder when d(r) is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 41*r**2 + 10*r - 5. Let m be z(-5). What is m rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {m: 2, v: 4, f: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/11 - 39926*r**3\/11 - 6101782*r**2\/11 - 12083794*r\/11 - 6021936\/11 = 0?\nAnswer: -19809, -152, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 232*s**2. Let p(j) be the second derivative of j**3\/6 + 19*j + 3. Calculate a(p(f)).\nAnswer: 232*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12480.5426 rounded to the nearest integer?\nAnswer: -12481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*26\/(-117)*(-90)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 + u**3 + 2*u**3 - 4*u**2 + u - 2*u in the form x + h*u**2 + p*u + s*u**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-8) - (-5)\/20. Let n = a + 0. Suppose -2*j = -n*j - 180. What is j rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (5 - 8) - -2) + (3 + -1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*b**3*m - 16*b**3 - 12*b**2*k*m + 6*b**2*k + 3*b**2 wrt m.\nAnswer: 19*b**3 - 12*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -330049.698208 + 330043. Let u = r - -6.64. Let s = u - -0.058. What is s rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224370025*x**6 + 4910*x**2 + 6*x - 803.\nAnswer: 26924403000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(204) - sqrt(204)))\/((sqrt(12) - (sqrt(48) + sqrt(12)))*-6).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 - 90. Let k = -50 + b. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(4\/9))\/(n\/(n\/(n*n**(-14)*n))))**(3\/14)*(n**(-2\/19)\/(((((n**(-3\/10)\/n)\/n)\/n)\/n)\/n))**(-10) assuming n is positive.\nAnswer: n**(-39307\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:40 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461, 743, 977, 1139, 1205, 1151, 953, 587?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677499 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sieuuoeueuub. Give prob of picking 1 o, 1 b, and 1 u.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5295439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30452 and -56\/144647?\nAnswer: 578588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 519467 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 45956.\nAnswer: -3\/22978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81.95 - -81. Let n = 1.05 - w. Let y = -4 + 8. Sort n, y, -0.5.\nAnswer: -0.5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -423874*v - 242. Let m be a(17). Round m to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/18*42\/7 + 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:25 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6*z - 210. Suppose 2*s + z = -4*s. Sort s, 3, -3 in descending order.\nAnswer: 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6742484ml in litres?\nAnswer: 0.0006742484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42725, -85461, -128339, -171431, -214809?\nAnswer: -258545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1790724 by 12.\nAnswer: -149227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*u - 7, 5*u + 5 = 6*b - b. Let m(j) = j. Let t be m(9). Let r be (-962)\/(-296) + (-2)\/8. Solve 3*s + b*x - t = 8, 4*x = r*s + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 55*c - 10*c + 1363 = 0 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1629 and 84255681.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 4*w - 29*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12373515 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/92 in -58, -2\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -250*(-3)\/195 + 2\/13. Let r(d) be the first derivative of -3*d**3 + 5 - 1\/5*d**5 + 7\/2*d**2 - 2*d + 5\/4*d**o. Factor r(i).\nAnswer: -(i - 2)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 442877, 443013, 443239, 443555, 443961, 444457, 445043?\n\"Answer: 45*q**2 + q + 442831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -2*y - 2, 5*y = -2*r + 5. Let w be 1\/((-1)\/(-3)) - (1 + r). Solve -4*k + w = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, -3*u - 26*v + 24*v = -321. Sort u, -1, -5 in ascending order.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m - 32 = 0. Let x be m\/(-20) - (-4)\/10. Let -4*q**2 + q**2 + 4*q**2 + x*q = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/((s*s\/s**2)\/s)*s)\/s)\/s**(-3))\/((s\/s**(1\/19))\/s**(-14\/9)) assuming s is positive.\nAnswer: s**(598\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.9 + 12. Suppose 74*d = 43*d - 434. What is the nearest to f in 3, d, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 m when three letters picked without replacement from {k: 1, e: 1, p: 1, m: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-3\/7)))\/l*(l**(2\/9)*l)\/l*l*(l**(-1\/5))**(-2\/23))**(1\/5) assuming l is positive.\nAnswer: l**(-1369\/36225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Suppose -4*n - 3*c = -20, 1 = -3*n - 4*c + 23. Suppose 0 = -n*m + l*m. Solve -2*z - 10 = -m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 130*u**2 - 72*u**2 - 2*u**2)*(3*u + u**2 - 3*u).\nAnswer: -204*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 379559 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 426*n - 474*n + 1331 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 + 2. Let i be 2\/(-1) + (-6 - (103 + -6)). Let y = i - -104. Let r be (-14 - -14)\/(1 - y). Calculate t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 90*s + 812. Let r(d) = d**2 - 2*d + 4. Let o(i) = 6*r(i) - 2*v(i). Factor o(k).\nAnswer: 4*(k - 8)*(k + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6310, -6589, -6868?\nAnswer: -7147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1987.462kg to grams.\nAnswer: 1987462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 1. Let k(o) = -150*o - 22. Calculate -88*c(t) - 4*k(t).\nAnswer: 248*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 2)\/((-12)\/(-8)). What are the prime factors of 0 + 1 + (2 - t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1042687515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*x + 58 = 0, 6*x = 5*k + 2*x - 115. Let n = -8 + k. Suppose r = 5*r - 220. Calculate the greatest common divisor of r and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 25*x - 3. Does 18 divide o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8964 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 + f**4 + (2*f - 5*f + 5*f)*(0*f**3 + f**3 + 0*f**3) + 3*f**4 + 0 - 3 - 4*f**4.\nAnswer: 2*f**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbwa. Give prob of picking 1 w and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h + 1. Let s(b) = 4 - b**2 - 3*b + 5*b**3 + 2 - 3 + 6*b. Let p(o) = s(o) - 3*y(o). Find the third derivative of p(l) wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 299 = 95*v. Solve -3*m + 11 = v*t, -2*t + 15 = 2*m + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3804 + -0.0614. Let l = z - 0.019. Let q(x) = x**2 + 2*x + 1. Let d be q(-1). What is the third biggest value in l, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jmamaaowaom.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 10 = 15*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2174 divide 331985860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*k**4 - 885239*c**3*k + 4*c**2*k**2 + c*k**4 + 11804016*k**3 wrt k?\nAnswer: 48*c**3*k + 24*c*k + 70824096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -3*r - 30, 3*s - 100 = -r. Let f = s - 5. Solve f = -5*n + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 8 - -4 - 78. Let l = -52 - 11. Let x = l - q. What is the highest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*t**4 - 8*t**2 + 7*t**2 - 15*t + 3*t**2 + 20*t as r*t**4 + u*t + i*t**2 + y*t**3 + v and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 6. Let g be a(-6). Let c(k) be the first derivative of -k**3\/3 - 1. Let q be c(g). Let w(j) = j**3 - j**2 - 7. Determine w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - i. Let o(c) = c**2 - 3*c + 8. Let f be o(4). Let b be (-4)\/(-12) - (-68)\/f. Let g(j) = j**3 - 4*j**2 - 6*j - 2. Determine b*t(n) - g(n).\nAnswer: -n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 2*k + 63. Calculate the common denominator of k + 970\/165 + 2 and 71\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/7 (c) 502 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9986 is divided by 1181?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/23 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22316, 22328, 22358, 22412, 22496, 22616, 22778, 22988?\nAnswer: 23252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/3 or -1753?\nAnswer: -1753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -10. Let q be (-25)\/70*(-20)\/(-25). What is the nearest to q in -1\/6, -1\/5, d, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -8*f**3\/13 + 43216454*f**2\/13 + 54020578*f\/13 + 10804116\/13 = 0.\nAnswer: -1, -1\/4, 5402058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.49 and 0.4.\nAnswer: 3.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -37*b - 1\/3*b**3 + 2 - 9\/2*b**2. What is i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12*2*(-78)\/(-78)*(2 + 71)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-3.9\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 45. Let j be (-1)\/1*(g + (4 - 6)). Suppose -44*f + 40*f - 88 = j. What is the common denominator of 36\/11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 16. Let t be v\/1*(-12)\/(-3). Suppose -5*g = -6*u + 4*u - 63, -5*g = -3*u - 67. What is the highest common divisor of g and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2708449\/30 + (-6)\/(-6). Let y = 458334\/5 - p. Let r = y + -1377. Calculate the common denominator of -31\/16 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from ghgggh?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70566 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j + 5. Let g(y) = -1. Calculate f(q) + 5*g(q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -114?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 8, -4\/9, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from rrrrprrxxxxxxrxrxxx?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*a**3 - 143*a**3 - 217*a**3 - 211*a**3.\nAnswer: -139*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-24)*(-8376)\/(-1047)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*h + 2*h. Suppose h = x - 2*v + 4*v - 1, 3*v + 4 = 4*x. Solve -4*k - x = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541162 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - v - 4988 = -5*v, 2490 = 2*x - 2*v. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 59 = -2*h, 2*v + 3*h = 6*v + 203. Let q = v - -157\/3. What is the closest to 2 in q, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99821.2472 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)\/(c\/c**(5\/3)))\/(((c*c**(-2)\/c*c)\/c)\/((c\/c**(-3))\/c)) assuming c is positive.\nAnswer: c**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 10*z - 8. Let n be x(-6). Suppose 5*g = -75 + 115. Suppose 2*i = 3*i + u - g, -12 = -3*i + u. Solve -j = -i*j + n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1\/34, -2, -5, 5 in decreasing order.\nAnswer: 5, -1\/34, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 2*g + 3*m, -45*m + 5 = 3*g - 3*g - 5*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/4 + q**3\/3 + q + 9. Let r(p) = -2*p**3 + 5*p**2 - 12*p + 5. Let h(z) = -5*j(z) + r(z). Factor h(f).\nAnswer: 3*f*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*v = 16, 2*x + 2*v = -x - 8. Let o(z) = -z**2 - 12*z - 17. Let g be o(x). Solve 9 = -3*q - 2*j, 0 = 5*q + 3*j - 5*j + g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979, -12407, -23833, -35257, -46679, -58099, -69517?\nAnswer: -80933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:20 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.421 and 5.\nAnswer: 2.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 20 + -18 + 77 + -26?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 11*u - 140 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 11*z**2 - 14*z + 3. Let s be g(-10). Let a = s - 89. Let p = -15 - -29. What is the greatest common factor of p and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253996 - -0.1044900376\nAnswer: -253995.8955099624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.12\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 28*v + 21*v + 104 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 411.\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - 28. Suppose -a = 5*b - 8, r = a + 3*b + b. Suppose -a*g + 20 = -7. Solve 0*f + m + g = -2*f, 13 = -3*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 25. Let m(a) = -a + 3. Let s be m(3). Suppose 22 = -v + 5*w, 10 = -s*v + v + 3*w. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 158593 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)*(b**1\/b)\/b assuming b is positive.\nAnswer: b**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 18 - 54. Let d = 26 - b. Put d, -4, 4 in descending order.\nAnswer: 4, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0 + 5\/2*u**2 - u = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, -16 in descending order.\nAnswer: -5, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by -112.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -398 + 1952. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7538\/(-554043))\/(29\/(-21))\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 2. Let w be l(0). Suppose -w*i - 3*i + 1650 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27990*a**3 + 2*a**2 - 2487*a - 3.\nAnswer: -167940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-5)*120\/72\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 less than or equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 18 + 26 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42049994*n*o**2 + 42*n*o - 2*o**3 + 1355413*o wrt o?\nAnswer: 84099988*n - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ayhyhhahhhadhadha?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.3 (c) 0.01 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2136 and 3095064?\nAnswer: 3095064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/128, 4\/3 in increasing order.\nAnswer: 3\/128, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-1 + -3)**2.\nAnswer: 54*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + -0.33. Let q = -0.8 + -0.2. Let x = k - q. Which is greater: x or 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:30 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*f = 6, -o - 4*o - 2*f = 3. Let c be o\/4 - (-39)\/(-12). Let i = -1 + 1.5. What is the third biggest value in c, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 8*u + 4. Let p be m(-8). Sort -7, -5, p, 5 in decreasing order.\nAnswer: 5, p, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-15))\/((-3)\/30). Suppose 4*r - l = 2*r - k, -3*k = 3*r - 21. Let b = 22 + r. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 79*c**2 + 2. Does 27 divide s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q. Let m(g) = -7*g. Determine -11*m(z) - 6*n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -320513206?\nAnswer: 320513230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -23*k - 23. Let s(q) be the first derivative of 4*q**2 + 8*q - 4. What is -6*o(y) - 17*s(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4)\/((-8)\/(832\/8)*-1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 1. Let i be p(3). Let t(w) = w**3 + 9*w**2 + 9*w + 9. Let b be t(i). Let q = b - 1. Do -1\/2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31046224?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1439*h**2 + 2*h. Let s be b(-1). Suppose -s - 147 = 6*r. Let z = 372 + r. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-60)*(-915)\/(-244)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 4 = c, 0 = -c + 5*n - 6. Suppose 5 = -c*s - 3, 4*i + 4*s - 4 = 0. Suppose -25 - 14 = -3*a. Solve -9 = -3*w - 2*b, w + i*b - a = -b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -55. Suppose -m - 18 = -g, g - 5*m = -0 + x. Suppose -2 = -7*c + g. Let b(s) = -s**3 + s**2 + 3*s + 4. Determine b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 621 - 619. Suppose -12 = -3*f, 12*f + 10 = -j*b + 16*f. Solve 2*v + b*v + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 1 - (26 - (0 + 20 + 4)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 1:46 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2355*n + 7219. What is i(3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38723952.7 rounded to the nearest one hundred thousand?\nAnswer: -38700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 2*n = -7*w + 18, 5*w = 5*n - 15. Sort -4, w, 5, -2 in descending order.\nAnswer: 5, -2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 0*t**3 - t**3 - 6*t - 2 + 2*t**3 - 8*t**2. Let n be a(9). Is -1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 807*t**2 - 1188*t**2 - 1908*t**2 in the form u*t**2 + r + n*t and give u.\nAnswer: -2289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(45\/(-10)))\/((24\/21)\/(-2))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/11)*l**(-4\/7)*l\/(l\/(l**(-10)*l))*l**(-2))**19 assuming l is positive.\nAnswer: l**(-17328\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1.1 (b) 3 (c) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(780\/342) + -6?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9092.5mm in kilometers?\nAnswer: 0.0090925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -37, -47, -53, -55, -53, -47?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16255 divided by 470?\nAnswer: 3251\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + -5 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 = -131. Suppose -2 = -2*i + l. Solve -6 = 3*a + 4*m + 2, i = -2*a - 5*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -0.2213246224.\nAnswer: -0.0786753776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*o + 7 = 0, -4*o - 68 = -4*t - 56. Which is the smallest value? (a) 5 (b) t (c) 1.4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*l, -5*l = -10*l - 5*s - 20. Let h be (-2)\/(-16) - 2\/(-8). Is h less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548102.\nAnswer: 2, 3, 13, 58309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 20 = -4*a. Let f = a + 18. Solve 2*m + f = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391727419 rounded to the nearest 10000?\nAnswer: 391730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7802191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353382 by -34.\nAnswer: -176691\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9579 divided by 6?\nAnswer: 3193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*((y*y**9*y)\/y)\/y)*y*y**(-1\/9)*(y**(-3\/4))**35 assuming y is positive.\nAnswer: y**(-1273\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (-2 - (-1 - -6))) + (-2 - -1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-90))\/(1*-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(3\/7))\/(y*((y*y\/((y**(-1\/7)*y)\/y))\/y)\/y))**25)**(1\/6) assuming y is positive.\nAnswer: y**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9\/57844 - -4511985\/983348. Determine x so that -80\/17 + 2\/17*x**2 - z*x = 0.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(304) + 2*sqrt(304)) + (sqrt(684)*-5 + sqrt(76)*-3)**2)*1.\nAnswer: -12*sqrt(19) + 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9007 less than -2.1045?\nAnswer: -3.0052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/2 + 58*n**3\/3 - 28*n**2 + 220. Factor v(x).\nAnswer: -2*x*(x - 28)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -25*k + 295. Let p be y(12). Let o = -3.8 - 0.2. Which is the smallest value? (a) o (b) p (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265522575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83733 - 2863733. What is h rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 630.82603 - 578.826051. Let d = 52 - k. What is d rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t - 5. Let s be g(-2). Suppose 0 = r - 3*u + 19, r = -0*r - s*u + 5. Let j be 2\/(-5) + (-704)\/r. Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -10 - 10 - (-16 - 49) - (-35 - -30)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -866 + -1451?\nAnswer: -2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -710894*w**4 - 987021?\nAnswer: -2843576*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -8. Suppose -12 = -0*g - u*g. Suppose 5*p + 5*l - 80 = 0, g*p - 5*l = 3 + 5. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 21*z - 18. Let x be b(-20). Suppose -10 = x*f, 0 = 2*o + 5*f + 8 + 3. Solve 5 - 13*w**3 + o*w - 2*w**3 + 5*w + 3*w**4 - 29 + 18*w**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536\/85 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 870 (b) -5\/4 (c) 0 (d) -0.47 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -23 + (-26481)\/715 + 24?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 252243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. What is the nearest to 0 in -4, v, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.6 - -1.6. Put 3\/2, u, 5\/2 in increasing order.\nAnswer: u, 3\/2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4049 (base 10) to base 14\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/28*-8*17892\/(-1065).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/12 - 3*y**3\/2 - 2*y**2 - 1. Let q(f) be the second derivative of z(f). Let l(x) = x - 4. Give -5*l(j) + 2*q(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*t - 28*t + 61*t)*(0 + 0 - 23*t).\nAnswer: 115*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/3 - i - 35136. Let u(x) be the first derivative of -3 + x**3 + x**3 + 1. Give u(n(l)).\nAnswer: 96*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - k - 3*k = -9, -y + 3*k + 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1522 or -14913?\nAnswer: -1522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - -19. Let d = 40 - -8. What is the highest common factor of d and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, 25, 1\/4 in ascending order.\nAnswer: -0.5, 0, 1\/4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, g: 3, q: 5}. What is prob of sequence agag?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 25*d + 20*d = 6, -d - 4 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 307? (a) 2\/5 (b) 2\/9 (c) -27122 (d) 0.3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42231871 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*(22 + (3 - 5)))\/1. Let v be (-8)\/m + 2\/(-5). Which is the nearest to v? (a) 0.3 (b) -0.05 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1081 - -1079. Which is the fourth smallest value? (a) -0.5 (b) v (c) -0.2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(3 - (-32)\/(-10)). Suppose -3*q - 13 = -y, d*q = y + 3*q - 8. What is the nearest to y in 1\/6, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.15473146\nAnswer: -0.35473146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.5 (b) 1\/16 (c) -12 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.76, -5, 3\/5?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63)\/(-3)*(-7)\/(-21). Solve 0*w - 4*t + l = 3*w, 0 = w + 5*t - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 774938*f**3 + 39*f**2 + 4715*f wrt f.\nAnswer: 4649628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64.959 - -65. Let r = -0.038 - n. Round r to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 184.5. What is j rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -28. Suppose -v*o + 12 = -84. Solve -4*j - 3 = -3*q - 7, o = j + 3*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 4119\nAnswer: 123.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 2*sqrt(84)*-5)\/(sqrt(108)\/sqrt(9)*2))**2*-3.\nAnswer: -2541\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 4*p - 0*b - 4*b, 4*b - 4 = 0. Suppose 0 = -3*r + 2*r + p. Calculate the remainder when r is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-2))*g*(g**(-2)\/g)\/g)\/((g**(-2\/19)\/g)\/(g\/g**(-3)))*((g**0*g)**(12\/11))**(3\/8) assuming g is positive.\nAnswer: g**(1887\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by (-120)\/60*(-13)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gagagaqggqggaqq. What is prob of sequence aq?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t*t\/t**(4\/5))**(1\/2)*t\/(t**(-4)*t)*t*(t\/t**(-7))\/t*t**(-2\/3)*t**(-2\/7) assuming t is positive.\nAnswer: t**(2341\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a + 29*a - 111*a - i = -10, 0*a + 30 = -6*a + 2*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**4\/8 - 11*w**3\/6 + 4*w**2. What is the remainder when v(11) is divided by (-1 + 3)\/(5\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53966539.\nAnswer: 11, 929, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*g - 838 = 550 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r - 1. Let w(l) = -16*l - 2. Let c(z) = -22 - 5 - 4 - 20 + z**2. Let q be c(7). Give q*w(s) + 5*k(s).\nAnswer: -8*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 2068, 4669, 8310, 12991?\nAnswer: 18712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 24 = k, 4*t - 3*k = k. Suppose -2*a = -2*f + 14, 4*a - t = 4. Solve 0 = -4*j + j + f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y + 25\/6 - 13\/2*y**2 + 2\/3*y**3.\nAnswer: (y - 5)**2*(4*y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/(-44) + (-1505)\/(-1380) and -41\/759.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 7, -13545 in ascending order.\nAnswer: -13545, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 4 + 12*m - 59*m + 15*m + 24*m. Determine u(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 65*p**3 + 35025*p**2 - 5390*p = 0.\nAnswer: -539, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1536*-504\nAnswer: 774144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 118073 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 602 (base 9) to base 13\nAnswer: 2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122323113 (base 4) to base 15.\nAnswer: -22a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 78633259*q\/2 + 39316630.\nAnswer: -(q - 78633260)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 - 6a?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -25 - 4*6\/8. Let u = v - -18. Let q(i) = -2*i - 10. What is the remainder when 19 is divided by q(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -13*n + 9*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2580)\/(-2))\/(6\/21). Suppose 2*u - 2*y - t + 142517 = 0, 5*y - 69005 = u. Round u to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o - 3. Let t(m) be the first derivative of -4*m**2 - 2*m + 10. Let x(w) = 5*p(w) - 6*t(w). Find the first derivative of x(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2037, -2040, -2043?\n\"Answer: -3*h - 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59457, -108521, -157587, -206655, -255725?\nAnswer: -304797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*(-5)\/(-165)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 6 = -14*r. Let n = 166 + r. Let c = -79 + n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53163 is divided by 281?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1e2 - -94e?\nAnswer: ab30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38011\/6162 - -2\/1027. Let s(k) = -2*k**2 - k + 1. Let m be s(1). Calculate the common denominator of d and (-316)\/(-18)*m\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 + 2. Suppose -7*b - 4 = -3*b. Let q = b + 4. What is p(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*h - 4544*h = -26099 - 63726 - 4891 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, 2, 108\/19 in descending order.\nAnswer: 108\/19, 2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from jjbbbjbjjjj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4509117 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 2, 216 in descending order.\nAnswer: 216, 53, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 + -0.3. Let q = p + -1. Let h = -0.6 - q. Which is the nearest to h? (a) 1 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1217292 and 2166?\nAnswer: 1217292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4175 and 3650.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*z - 12096045 = 24077621 - 5951222. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*s - 15, 4*q = -s + 6 + 6. Suppose 8*b - 3*b = -5*t + 1595, q*b + 1283 = 4*t. Suppose 5*c + 3*h = t, 4*c + 273 = 8*c - h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1148511, 4594040, 10336589, 18376158, 28712747?\nAnswer: 41346356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30847968 and 1341216?\nAnswer: 30847968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821820.\nAnswer: 2, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(112) - sqrt(112)*3))*2 + 2*sqrt(112) + 3 + sqrt(112) + (sqrt(112) - (-2 + sqrt(112))) + 2)**2.\nAnswer: -56*sqrt(7) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*68\/1190.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/7 + 1422*f**3\/7 - 80986*f**2\/7 - 1422*f\/7 + 80984\/7 = 0.\nAnswer: -764, -1, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -727, 3\/8, 0.08, -4\/13, 4\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 3. Let d be y(0). Let p(r) = -2*r**2 + r + 2. What is p(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l. Let b(h) = 3*h**2 + 5*h + 1. Let y be b(4). Suppose l = 3*n - y - 9. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + -79. Which is the second smallest value? (a) l (b) 0.7 (c) -0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhll when four letters picked without replacement from hhlhfhlllhhhlhfh?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7300992 by 6.\nAnswer: 1216832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppllplpplpp. What is prob of picking 4 l?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20891, 20803, 20715, 20627, 20539, 20451?\nAnswer: 20363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(80)*3 + sqrt(80)) + sqrt(25)\/(sqrt(320)*3))**2.\nAnswer: 125\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4*x**2 + 4*x. Let p be w(-4). Calculate the remainder when 37 is divided by -1 - (0 - -2) - p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*((k\/(k**(-5\/3)*k))\/k*k)\/k))\/(k\/(k\/k**8))*k**8\/(k*k\/(k*k*k**(4\/7)*k*k)))**(-14) assuming k is positive.\nAnswer: k**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-15 - -9) + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f + 37*f - 19*f + 25*f + 24*f.\nAnswer: 112*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (52\/65)\/(17\/(-255))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28011225 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p - c = 54*p - 10, 2*c - 5 = -3*p. Suppose -3*j = -0*j. Suppose j = m + p*m - 186. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -62.\nAnswer: 19\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/6 - (-8)\/24.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -166*k**3*u - 9536*k**3 - 3*u + 22529 wrt k?\nAnswer: -498*k**2*u - 28608*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77439 and 249?\nAnswer: 77439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-20))\/((-30)\/16). Which is the closest to 0? (a) l (b) 3 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/93 in 3\/5, 5, 2\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -2\/7 (c) 1435\/2 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q = 32. Solve q*j = 9*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7739, -7719, -7677, -7607, -7503, -7359?\n\"Answer: t**3 + 5*t**2 - 2*t - 7743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 2 + 2*s - 7*s)*((2 + 3 - 4)*(-9*s + 11 - 11) - 1 + 1 + 4*s + 3*s - 3*s - s).\nAnswer: 6*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:08 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g + 21*g**3 - 15*g - 130*g**3 + g**2 - 1 to v*g**3 + u + n*g**2 + o*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*z - 123*z - 340. Solve 3*p = g + 4*g - z, -p - 8 = -g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11. Let t be (2 - -3)*12\/20. Solve -t*w = -m, c = -5*w + 2*m - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (21682\/(-48))\/(-37) - 13 and -9\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 + 211. Solve -4 = -f*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.55408l to millilitres.\nAnswer: 12554.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 23 = -3*x, -25 - 2 = -2*x + 5*i. Solve -4*u - 9 = -x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4783\/7161 + 3\/2387. Which is smaller: 681 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2966 - 4?\nAnswer: -296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 9, q: 11}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and -1.8?\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67138?\nAnswer: 2, 33569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*b - 169*b - 258*b.\nAnswer: -229*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1 + 22\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 4*g - 21*g + 2*g + 0 + 0 + (1 - 1 - 2*g)*(6 - 1 - 3) + 3*g - 5*g + g + g + 0*g - 2*g to s + t*g and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*p + 35 = 0. Suppose p + 1 = -4*q. Let d(m) = -m**2 - 9*m - 9. Let w be d(-8). Which is the second biggest value? (a) q (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 - 3*l**2 + 6*l**2 - 6*l**2 + (0*l**2 + 2*l**2 - l**2)*(-3*l + 2*l + 0*l).\nAnswer: -2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -727, -719, -697, -655, -587, -487, -349?\n\"Answer: w**3 + w**2 - 2*w - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7961 - 6437. What are the prime factors of r?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*q - 411 = 0, 0 = -2*q - 0 + 2. Let m = a + 19. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 8*h - 4. Let n be x(-7). Let f be 4\/6*15\/2. Is f less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 7*k + 5. Let b be y(7). Let v be (-2)\/3*(1 - 7). Suppose 627*c - 623*c - 2*d - 12 = 0, -2*d + 23 = 3*c. Solve -c = b*l - v*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -3*j. Let l = j - -10. Let k = -1 + 11. What is the smallest common multiple of l and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8)*(8 + -2). Let m(y) = k*y**2 + 44 - 44 + y**3 + 3*y. Suppose g - 2*g = 2. Determine m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k**2 - k**2 + 5*k**2)*(2*k**3 - k**2 + k**2) - k**5 + 4*k**5 - 2*k**5)*(90 + 11 + 189).\nAnswer: 1450*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -372.82 + 367.82075. Let o = 12 - 7. Let f = g + o. What is f rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 14245?\nAnswer: 14244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let v(s) = -s + 1. Let x(y) = -1. Let i(r) = 12*r - 30. Let m(g) = i(g) - 15*x(g). Let n(o) = m(o) + 15*v(o). Determine u(n(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 48152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7733579*o**4 + 11101816*o**2 + 1.\nAnswer: -185605896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.388 + 0.0914. What is s rounded to 2 decimal places?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t - 12. Suppose l = a + 10, 35*l - 34*l + 3*a - 26 = 0. Give p(l).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnaannnnnqananannna?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + f + 3. Let z be h(3). Let p be z\/(-8)*(-8)\/3. Let t = 17 + p. Calculate the remainder when 19 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18) + 15\/(-18))*(1 + 34).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6077 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: What is the value of ((-152)\/(-52) - 3) + 14\/((-3276)\/(-3294))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -12*j + 4. Calculate q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 240*i - 21759. Calculate x(-70).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184 - 168. Suppose t*k - 19*k + 6 = 0. Which is the smallest value? (a) -3\/2 (b) -4\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/20 - 7*n**4\/6 + 19*n**3\/6 - 3*n**2 + 3351*n. Give t(12).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -22, 5, 2 in increasing order.\nAnswer: -22, 2, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i + 0 + 3*i**2 - 2*i - 4. Let q be (2 - 4) + (1 - -5). Let b(a) = 3*a**2 - 3*a - 5. Let r be (4 - (5 - 6))*-1. Calculate q*b(z) + r*w(z).\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/16 + (-1)\/2. Suppose -1 + 1 = k. Let d be ((-69)\/23)\/(-1 + k). Which is the smallest value? (a) d (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6742596, -6742576, -6742544, -6742494, -6742420?\n\"Answer: b**3 + 13*b - 6742610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/661178 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -552 - 1741*o - 158*o**5 - 218*o**5 + 1740*o wrt o.\nAnswer: -7520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9857.831 years to millennia.\nAnswer: 9.857831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 - -2.7. Let y = -6 + p. Let i = -28\/187 - 6\/187. What is the nearest to 4 in i, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 14. Let p(j) = 21*j + 1. Let u be p(1). Let o = 15 - u. Let f be n(o). Solve y + y + 10 = f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14619348 divided by -6.\nAnswer: -2436558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (405\/36 - 11)*2\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -49*o + 50*o - 16605, 3*l - 66382 = -4*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 * -4\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a + 9. What are the prime factors of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - 2)\/4 + 6. Let s(x) be the first derivative of x**2 + x + 9. Calculate the least common multiple of 10 and s(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 214 - 139. Suppose -2*k + 62 = 32. What is the highest common divisor of z and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7245, -0.108, -1 in increasing order.\nAnswer: -1, -0.108, 1, 7245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10)*(-21 - -1). Let v = -17\/2 + j. Put -3\/7, -1, v in descending order.\nAnswer: -3\/7, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1097100*s**4 + 1391559?\nAnswer: -4388400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 3 - 3)*(0 - 3 - 2) + (2 + 1 - 4)*(3*s - 3*s + 2*s) + 6146*s - 2381*s - 1989*s in the form i*s + b and give i.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1100)*-1 + 3.\nAnswer: -10*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 45*p**2 + 21*p - 20. Let h be c(-22). Find the common denominator of 861\/63 + h\/3 and 87\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 989712 and 1896?\nAnswer: 989712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4\/5 (b) 24 (c) -172 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 15*b**2 - 2*b - 69. Give q(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 - -41?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 - (-38 - (-80 + 43))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f - 21*f**2 + 6 + 1\/15*f**5 - 31\/3*f**4 - 42*f**3. Factor a(y).\nAnswer: 4*(y - 63)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/520425 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 864.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 17*i. Suppose -5*z + 2915 + 4120 = i. What are the prime factors of z?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 2*q + q**3 - 30 + (2*q**2 + 2*q**2 + 6*q**2)*(-2*q - 2*q + 2*q).\nAnswer: -19*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let z(l) = -2*l**2 - l. Let m(y) be the first derivative of y**3\/3 + y**2\/2 + 4. Let c(v) = -m(v) - z(v). What is a(c(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kygk when four letters picked without replacement from fggyykzfcfykyf.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(77)*-1 + sqrt(77))*-2 - sqrt(77)) + (sqrt(77) + -1*sqrt(77) + sqrt(77))*-1))\/(-5*sqrt(448) - (sqrt(7) - -2*sqrt(112))).\nAnswer: 4*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 46*b - 42*b - 22 = 0, 3*b - 57 = 15*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-3)\/(-3) + 1\/((-1)\/(-163))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-3)\/18*-3). Find the second derivative of 13 - 128*w**4 + 10 - 170*w**j - 22 + 22*w wrt w.\nAnswer: -3576*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*p - 2*h = 0, -10 = -4*p + 3*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/484*3\/2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 3:51 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p - 9. Suppose 37 = 5*m + 9*d, 0 = 31*m - 32*m - 4*d + 14. What is y(m)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.091 rounded to one decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4464 by -3.\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2\/5 + 82230336*w - 2113071299585280 = 0.\nAnswer: 51393960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/9 - 273394*p**2\/9 + 6229418923*p\/3 - 33215791504.\nAnswer: (p - 136689)**2*(p - 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 7192*d - 7189*d + 3, 2*n - 3*d = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 5*f + 5. Let z be y(4). Let k = -2 - -4. Which is the nearest to z? (a) 2\/5 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**2 - 4160*t = 0?\nAnswer: 0, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 10. Let g be w(-14). Let f be -2*6*1\/g. Solve 0*c - 3 = -f*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 733268 by 4.\nAnswer: 183317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(4 - 3\/(-5)). Suppose -a*k + 38*k - 30 = 0. Let q be ((-4)\/6)\/(26\/6). Sort -0.4, -1, k, q in ascending order.\nAnswer: -1, -0.4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t - 12. Let w be c(0). Let p = 12 - -48. Suppose 0 = -h - 4*h - p. Is h > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 1233*t**2 + t + 316*t**2 + 311*t**2 + 323*t**2 + 286*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 186.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242396162*q**2 + 17085968*q - 301088.\nAnswer: -2*(11009*q - 388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = m - 20, 2*n = -2*n + 16. Suppose m = 4*v - d - 3*d - 1196, -2*d - 2 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 760, -2, 5, -1 in decreasing order.\nAnswer: 760, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329799474.\nAnswer: 2, 3, 18322193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1691 - 32 + 1024 - 926)*(2 + 7*j**3 - 2) to the form f*j**2 + s*j**3 + c + p*j and give s.\nAnswer: 12299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 33 - w + 28. Let x be l(-4). Solve -5*p = -x - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)*h*h\/(h*h\/h**(-3)))**(1\/22) assuming h is positive.\nAnswer: h**(-41\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2834, -174 in ascending order.\nAnswer: -2834, -174, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10571*w**2 + 7*w + 26. Determine n(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**2 - 94*n - 702. Calculate c(-7).\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -2484?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3 + (-96)\/(-33)). Let m(w) = w + 14. Let s be m(y). Solve 0 = -5*g + s*j + 34, 19 = 2*g - 0*j - 3*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-77)\/21)\/11*-21. Solve 2*f = t - 3, -24 = k*t - 3*t + f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let s(g) = -116007*g - 22. Let l(j) = 58003*j + 10. Let b(x) = 9*l(x) + 4*s(x). Let y be b(r). What is y rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9749 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23411951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -55. Let s = -4\/5 + 3\/10. What is the fourth smallest value in x, 5, -1\/5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -100, -266, -510, -832, -1232, -1710?\n\"Answer: -39*b**2 + 29*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 275055 or -79?\nAnswer: 275055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from zmmhmmzsmkz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/6 - 3184*y**2\/3 - 3381407*y\/2 - 3377163 = 0.\nAnswer: -3183, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/11)\/(j*j**(-3)*j))**(-1\/85) assuming j is positive.\nAnswer: j**(-12\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16554 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1181 + -1179. Let x(l) = -l**3 - l**2 - 8*l + 2. Let i(p) = 2*p**3 + 2*p**2 + 9*p - 3. Give q*i(t) + 3*x(t).\nAnswer: t**3 + t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:03 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Let g be 0 + (-2 - (-8)\/n). Put 2, 4, g in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k\/(k*k*k*k**1)*(k**(1\/3))**(-2\/97) assuming k is positive.\nAnswer: k**(-2621\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -22\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzzzzggzzz. What is prob of picking 2 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163877, -327753, -491629, -655505, -819381, -983257?\n\"Answer: -163876*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 (base 11) in base 7?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 20. Is (q + 1 + 2)*422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 520008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*p + 32, -p - 31 = -2*i - 5. What is the highest common factor of i and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5048 + 5040. Let k(i) = 3*i + 41. Determine k(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12448031 is divided by 218.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-120) - (-965)\/75.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 2051*x**3 - 1047379*x**2\/3 - 1868113*x\/3 + 46408076 = 0 for x.\nAnswer: -12, 11, 1027\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25001 + 25000.97. Which is the nearest to 1? (a) -31 (b) v (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2783981 rounded to three dps?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 29 + -64 + 2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, -2.6, -0.08, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*d - 118980 = -222*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -19c?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.18 - -13. Let n = -23 + 22.56. Let d = n + y. Round d to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*o = 7, 0 = k + 3*o + o + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11011100101001 (base 2) to base 7\nAnswer: 56112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:02 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -3.55.\nAnswer: -3.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -968 - -971. Suppose 0 + 5\/8*z**2 + 3\/8*z**w + 1\/4*z = 0. Calculate z.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-16 + 31) - -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343141876 and 1932.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.961348ms?\nAnswer: 0.00000165593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -13*n**3 + 9*n**2 + 8*n - 7. Let j(q) = 27*q**3 - 19*q**2 - 16*q + 14. Let v(c) = 2*j(c) + 5*p(c). Find the second derivative of v(y) wrt y.\nAnswer: -66*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:52 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -7*s**4\/12 + 19*s**3\/6 + 5*s**2 - 4. Let m(z) be the second derivative of v(z). Is m(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 91, 111, 151, 217, 315, 451, 631?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-6) + 875\/30 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 9. Let k be w(4). Let v(m) = -m**2 - 21*m + 17. Let f be v(k). Let b = f - 72. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 4*k + 2. Let l be w(-2). Suppose -v - 4 = -l. Sort v, 3, -5.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 185823?\nAnswer: 74329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-11 + 2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 8*f**2 - 9*f - 12. Let a be x(-5). Calculate the remainder when 33 is divided by 158\/18 + 24\/a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 335 = 4*h + 330 - 641, h + 7 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2505 (base 16) to base 10\nAnswer: 9477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275479 is divided by 68863?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**3 + 2*d + 38*d**3 - 7*d**3 - 63*d**2 - 5*d**3 + 1 - 9*d**3 to w*d + r*d**2 + i + l*d**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + m = 0, 9*m - 672 = 2*g - 679 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arexqaxexrarpexqqaqr. What is prob of picking 1 r and 1 p?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 41*y**2 - 48*y + 2. Let p be l(2). Calculate the greatest common factor of 270 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 22, -935, -3, -0.4, -131?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 426 and 16?\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p. Let n(v) be the first derivative of 1\/6*v**6 + p*v**4 + 0*v - v**3 + 2 + 0*v**2 + 0*v**5. What is the third derivative of n(f) wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -7. Let k = m + 10. Find the second derivative of -l - 4*l**k - l**4 + 4*l**3 wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.887, 12, -2, -2.3?\nAnswer: 1.887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 373*o + 11912. What is g(-36)?\nAnswer: -1516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*s + 2*a**3 - 4*a**2*s**2 - a*g*s - 3*a*s**2 + 118*g wrt s.\nAnswer: a**3 - 8*a**2*s - a*g - 6*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 12:20 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9877455 * 4.\nAnswer: -39509820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4, -1\/27, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -304 and 6?\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**7\/98 - 8*n**6\/35 - 57*n**5\/70 + 4*n**4\/7 + 39*n**3\/14 - 209*n. Find t, given that m(t) = 0.\nAnswer: -13, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-1 - -7)) + 2 + -12 - 37.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j + 1. What is t(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 x when three letters picked without replacement from dtkdkx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (147\/(-6))\/7. Which is the closest to 1? (a) 5 (b) z (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 2*a - 15. Let l(i) = 23*i**2 - 2*i - 1. Let b = -4 + 3. What is the remainder when v(-7) is divided by l(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.913168 hours to minutes.\nAnswer: 354.79008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/6174 and 83\/294.\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168.39 + -42410.\nAnswer: -42578.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -70*u + 1641. Determine l(17).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 16. Let k be q(15). Let n = -10 + k. Calculate the greatest common factor of n and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*t - 471*t + 56 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 609.212 micrometers?\nAnswer: 609212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 + 8*m + 3. Let k be p(-7). Let g(y) = -3*y - 6. Let v be g(k). Let w = -1 + v. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 48*z**2 - 2*z. Let i(g) = -8*g**2 - 4*g + 4. Let u(f) = -15*f**2 - 7*f + 7. Suppose -17*a - 179 = -111. Let n(p) = a*u(p) + 7*i(p). What is r(n(d))?\nAnswer: 768*d**4 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, -0.1, 2, -2\/7, 123\/2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 407, 403, 397, 389, 379?\n\"Answer: -z**2 - z + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 797888 a multiple of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - k = -466, -38*k = -4*m - 43*k + 1862. Let z = m - 462. Solve 7*o + 39 = -z*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(((o**(-6\/5)*o)\/o)\/o)*o\/o**(-1\/16) assuming o is positive.\nAnswer: o**(341\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 54.56278 millilitres?\nAnswer: 0.05456278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 858 - 0. Solve -4*p + 5*v + 16 = 0, 16 = w*v - 70*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 5*l**2 - 7*l - 2. Let q be k(6). Let y(o) = -7 + o + 0 - 3 + o**2 + 5*o. Is y(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(300)*2 + -2.\nAnswer: -2 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-24)\/(-6)))\/((-288)\/4752*3\/(-16))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*(-18)\/(1152\/(-112))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 13*y**2 - 26*y - 51. What are the prime factors of w(-12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) - 20835\/30. Let u = y + 698. What is the common denominator of -40 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -142*z + 29. Calculate y(-8).\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 1. Let x(r) = -2*r - 5. Determine -5*k(p) - x(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 3 + -3 - -3. Sort 0, 3, a in decreasing order.\nAnswer: 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.66 and 0.07.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a6 (base 11) to base 12.\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253546 and 1630048?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1548.9 + -1619. Let k = 70 + z. Which is the nearest to k? (a) -0.03 (b) -2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 10. Let r(g) = g**3 - 8*g**2 + 15*g - 3. Let i be r(5). Let c be s(i). Sort 7, 5, c.\nAnswer: c, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 21. What is the second smallest value in -5, 0, w, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166869919\/2123 + 78601. Does y = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 7*l**2 + 8*l - 9. Let j be t(6). What is the tens digit of (-1)\/j - -348*22\/99?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -80. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 32. Let f be s(-9). Suppose -4*x = -2*x - f. Suppose -18 = -x*r + 4*w - 0*w, 0 = 3*w + 9. Are r and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -7*b + b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21850)\/(-68172))\/((5\/2)\/(((-36)\/(-8))\/3)).\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2636859 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 l, and 1 x when four letters picked without replacement from {a: 12, x: 2, l: 3}.\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from btffbdfudnfd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m**2 + 1. Let h = -365 - -367. Let a be h + -8 + 7 + -3. What is p(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + -2 + 1. Let t = 2 - s. Suppose 2*v + 3*l - 5*l + t = 0, 0 = l. Which is the smallest value? (a) v (b) 2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794451 to the power of 1\/2, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 - 12*k + 16 = 0 for k.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (6 + -3) - -2. Suppose l = 2*b - 5*b + 18. Is 1*442 - b\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2 - 4. What is the second derivative of k*y**3 + 7*y**3 - 12*y + 17*y wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 1706 + 204. Let l = x + 716. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = 3*c - 57, v - 6 = 2*c. Suppose -4*l - 3 = -3*h - v, l = -2. Let p(m) = -11*m**2 + 1 - 4*m - 7*m**2 + 17*m**2. Calculate p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179289 times 0.099?\nAnswer: -17749.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1891108 divided by 24883.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 19 = -5*h, 5*s + 32 = 4*h - 0*h. Sort 0.6, h, 2\/3 in descending order.\nAnswer: h, 2\/3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 1 - 1)*(0*j + 2*j - 3*j) - 1043 - j + 632 - 485)*(j**3 - j**3 + 3*j**3) to s*j**4 + a*j**3 + z*j + y + n*j**2 and give a.\nAnswer: -2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -8 (b) 2\/309 (c) 3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391796 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let s(h) = 10*h + 1. Let r(x) = -2*x**2 + 22*x - 15. Let f be r(10). What is f*i(d) - s(d)?\nAnswer: -5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2503 (base 11) to base 16\nAnswer: -cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 20*s**2 - 2*s - 4. Let d be i(7). Suppose -l + d = -3*p, -3*l + 2533 = -4*p - 328. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003006756841 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-1092))\/((4\/(-112))\/(9\/(-36)))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -0.3, 14, 6, 4, 218?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*z - 64 - 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21073 + 21071 - 56*r + 17*r in the form x*r + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 3*c**2 + 3*c + 4. Let h(a) = 4*a**3 - 7*a**2 - 7*a - 8. Let u(g) = -3*h(g) - 7*i(g). Differentiate u(p) with respect to p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 22509.\nAnswer: 247599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270.152 decades in millennia?\nAnswer: 22.70152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33320011244 - 0?\nAnswer: 33320011244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1051 - -1056. Which is the fourth smallest value? (a) -9 (b) 2\/15 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 448.65 - 519. Let o = x - -73. Let u = -0.05 + o. What is u rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 6*t**2 - 2*t**3 + 2*t**3 + t**3 to the form c + w*t + u*t**2 + p*t**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, f: 1, w: 4, k: 1, p: 2}. What is prob of picking 1 k, 1 p, and 2 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 24*u - 120. Let h be b(-4). Solve -4*s - 4 = h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from {r: 7, e: 9}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, -35, -117, -235, -395, -603, -865?\n\"Answer: -z**3 - 9*z**2 - 18*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 19 - 10) + (-14 - -13) + -76 + -4?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6060))\/(27\/810)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 + 4*u**5 - 3*u**5 + (0 + 0 + u)*(-3*u**4 + 19*u**4 + 2*u**4).\nAnswer: 22*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 2618 = 26*z. What is the remainder when 268 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*m + 237 = -1603 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7513 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 1. Suppose 3 = 2*v + q, 2*v = -q - q. Let j be 3\/(-9) - (-4)\/v. Give g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 121617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.7, 3, 0 in decreasing order.\nAnswer: 4, 3, 0.7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/568533 and 25\/29?\nAnswer: 16487457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 108*f**2 + 1768*f - 3559. What is v(2)?\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + 7. Let g(q) = 16*q**2 - 5*q + 4. Let m(t) = -15*t**2 + 6*t - 5. Let r(k) = 4*g(k) + 3*m(k). What is the remainder when n is divided by r(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -1.3. Let i = 162.8 - 163. Which is the closest to l? (a) i (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (6*(sqrt(99)*-2 + -3) - (sqrt(99) + 0 + -2)*4)**2)*-3.\nAnswer: 14400*sqrt(11) + 381735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a - 44?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 - 4*u**3 + 8*u**3 - 7*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -o - 14077 - 108448, 61273 = 2*t + 3*o. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {z: 2, b: 3, y: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. What is the remainder when 1*6*(-9)\/(-54) is divided by 14\/18 + r\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 - 3*g + 1. Let d(a) be the first derivative of -10*a**3\/3 + 2*a**2 - a - 4. Let w(h) = 5*d(h) + 7*q(h). Find t, given that w(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45597, -61529, -88073, -125223, -172973, -231317, -300249?\nAnswer: -379763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 9756?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/2 + 4*o + 3. Differentiate p(j) with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.29, -1\/9, -2\/25, -0.1, -1\/3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*c = -y - 2, -5*y + 5*c = 0. Let j be 182\/21 - y\/(-6). Suppose -5*a + 62 = 2*p, -93 = -3*p - j*a + 4*a. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*g - 29 + 38 = 0, -g + 2 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/722519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/4 (b) 1.3 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/2)\/((44\/(-22))\/2))\/((-2)\/(-36))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:02 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 14*c**2 - 9*c + 30. Give x(-15).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 900.098 + -904. Let m = -3.88 - v. Round m to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -24?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 76333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 142*b**2 - 991*b - 21. Let m be a(7). Put -248, 2, m, 11 in decreasing order.\nAnswer: 11, 2, m, -248","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 z when three letters picked without replacement from jjzzzzzzzjj.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 322*f**2 + 2*f + 1. Let p be t(-1). Suppose 51 = -2*u + p. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*u = 493 + 407, -5*a - 3*u + 1126 = 0. Suppose 6*c + 74 = a. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 2. Let v be (36\/30)\/(o\/20). Is (-4)\/6 + (-92)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l. Let s(b) be the second derivative of -23*b**3\/6 - 2*b - 126. Give s(j(f)).\nAnswer: -207*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 5*m**2 + 31*m + 60. Let y be t(-2). Solve 3*g - 21 = y*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87\/1143175 + 2848127597\/281221050. Let x = o - -8\/205. Calculate the common denominator of 79\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9 - (2 - 1)) + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(14\/7))\/(-10)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13820703?\nAnswer: 3, 13, 354377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 446 (b) 1\/7 (c) 7606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 380943, -0.047, -4?\nAnswer: 380943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1061.692611 and 72.\nAnswer: 1133.692611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) - (-14)\/44. Let u = 1 - 0.7. Let l = -2929.1 + 2929. Which is the fourth biggest value? (a) u (b) v (c) l (d) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 5. Let u be a(-6). Let l = u + 23. Let r be 1 + (1 - 0)\/(8\/8). What is the highest common divisor of r and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36242130 + 216?\nAnswer: 36242346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 413 = u - 343, 0 = 4*r - u - 25 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(-2223)\/247?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 32*p**2. Let i(g) = 18*g - 2*g + 0*g - 9*g. Give i(s(u)).\nAnswer: 224*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.77 + -1.7. Let s = 850.7 - 851. Which is the closest to g? (a) 0.4 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 3*s**2 + 17. Let o(d) = -5*d**3 - 6*d**2 + 36. Determine -7*f(t) + 3*o(t).\nAnswer: -t**3 + 3*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 4*o - 38 + 19 = 0, 5*g = 4*o - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 + 88.001299. Round r to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 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: Let v be (-12)\/(-3)*(-21)\/(-6). Let o be 66\/v + 4\/14. Solve -4*i = i + o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -88423, -176766, -265125, -353506, -441915, -530358?\n\"Answer: -j**3 - 2*j**2 - 88330*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 0.2 (c) 0.1 (d) 2 (e) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 3*b, -5*n + 2*b + 26 = -n. Let o(j) = -2*j - 5. Let a(p) = p + 2. Let d(v) = n*o(v) + 13*a(v). Differentiate d(l) with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/19? (a) -0.5 (b) -18 (c) -2\/11 (d) -11 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804 is divided by 272.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 24*u**4 + 0*u**2 + (4 + 1 - 5*u - 4)*(2*u**3 - 3*u**3 - 2*u**3) in the form v*u + h*u**2 + q + l*u**4 + p*u**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) - (sqrt(192) + sqrt(192)*-1 + sqrt(192) + sqrt(192))))\/sqrt(8))\/((sqrt(240)\/sqrt(6))\/sqrt(5)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 11. Suppose 3*z + 1 = c + 13, -z - u*c = -17. Suppose n + t - 152 - 54 = 0, -3*n = z*t - 608. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151720771?\nAnswer: 151720771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bae. Give prob of sequence eb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426274966.\nAnswer: 2, 13, 17, 964423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 224. Let f(q) = -11*q**2. Give r(f(y)).\nAnswer: 55*y**2 + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11082.01 nanograms in kilograms?\nAnswer: 0.00000001108201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5584*i - 1467. Let b(w) = 36*w. Let n(m) = -b(m) + l(m). What is the derivative of n(j) wrt j?\nAnswer: -5620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + k + 1. Let l(g) = g**2 - 4*g - 5. Let s(p) = l(p) + 2*m(p). Calculate s(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -400, -392, -372, -334, -272?\n\"Answer: n**3 + n - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 4.1. Let w = u - 5. Let q = -2.83 - 0.17. What is the closest to w in 0.3, 1\/3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 15 = 4*g, -323*q + 5*g = -320*q + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349089, 696915, 1044741, 1392567?\nAnswer: 1740393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64067969?\nAnswer: 7, 9152567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.7 - 6.3. Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12200*a + 58320 = 13010*a for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 8. Suppose s = 7*i - 4*i. Is i bigger than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**3 - 23*h**2 + 18*h + 23. Let r(g) = 7*g**3 - 12*g**2 + 9*g + 13. Let z(c) = -11*r(c) + 6*w(c). What is z(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(12)*-1)\/(2*sqrt(144)\/sqrt(4)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(1\/(-2))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917353723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, b: 7, v: 1, p: 3, l: 1}. Give prob of picking 2 p, 1 l, and 1 h.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**5 - 9*q**4 + 46*q**3 - 42*q**2. Let u(o) = o**5 - 9*o**4 + 47*o**3 - 41*o**2. Let c(g) = -2*h(g) + 3*u(g). Solve c(f) = 0 for f.\nAnswer: -13, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1047 - 261. Suppose -2*p + y = 4*k, -3*k - k + 780 = 4*p. Let n = -49 - -71. What is the highest common factor of k and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1584) - -5*sqrt(1584)) + sqrt(1584))*6)**2 + 0 + -3*(3*4*(sqrt(1584) - sqrt(1584)*3))**2.\nAnswer: 6899904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13742 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:03 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494305 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*y - 2*y = -96, -3*p - 5*y + 40 = 0. What is the remainder when 79 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2699 - 1565. Is 54 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/959841 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 62, 98, 134, 170, 206?\n\"Answer: 36*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(9\/5)*x)**(-2\/17)*(x*x**16*x*x*x)\/(x**(-1\/24)\/x) assuming x is positive.\nAnswer: x**(42013\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/8)\/((-350)\/126)*30.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.7, -3\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/7958 and -71\/52.\nAnswer: 206908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129 - 38*k**2 + 18 + 41*k**2 + k**2 + 1 - 1 + (-3*k - 2*k + 2*k)*(k - 3*k - k).\nAnswer: 13*k**2 - 111","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = 5*y, -y - t = -6 + 1. Suppose 5*c - 4*s + 10 = 0, 4*s = c - 2*c + 22. Solve -y*a = -4*l, -2*a + c = -3*a + 3*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) + (sqrt(392)*-1 - sqrt(392)))*-4 - sqrt(392))\/((sqrt(20)*-2)\/sqrt(5) + (sqrt(4) - (1*sqrt(28))\/sqrt(7))))**2.\nAnswer: 441\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 7. Let z(a) = a - 9. Calculate z(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17236529 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*v + 29 = 0, 4*v = -120*l + 122*l - 20. Find z, given that -2662\/7*z**5 - 232\/7*z + 3872\/7*z**l - 940\/7*z**2 - 22\/7*z**3 - 16\/7 = 0.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2898324 and 114088572.\nAnswer: 1254974292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10032 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 3. Let b be n(-7). Suppose -b*g = 2*f - 48, 3*g + f - 46 = -3*f. Calculate the remainder when 16 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 13 = -19. Solve c*t = -10 - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 25*i**2 - 11*i - 2. Let r be u(12). Solve 0 = -r*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 1:07 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1206 + 3*p + 1206.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - q - 2)*(48223*q**3 - 48223*q**3 + 167*q**4).\nAnswer: -167*q**5 + 334*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 536, 3, -5 in ascending order.\nAnswer: -5, 3, 4, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 35*q**2 - 25*q + 25. Let l(f) = -f**2 + f - 1. Determine -50*l(u) - 2*n(u).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7134 to 2 dps.\nAnswer: -2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -7*h**4\/6 - 14*h. Let k(w) = -w**2. What is k(g(m))?\nAnswer: -196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1023\/7 - -1024\/7. Let d = 12 - 17. What is the closest to d in -0.4, c, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**3 - d**2 + 16*d + 15. Let h(f) = f**3 + 4*f**2 - 3*f - 19. Let v be h(-4). Is l(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/4)*d)\/(d\/((d\/(d\/d**(3\/7)*d))\/d)))\/(d**2\/d)**(-24))\/((d**(2\/5))**(-29))**15 assuming d is positive.\nAnswer: d**(5521\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80474 is divided by 3832.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17224 and 406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -107 - -113 - ((9 - 2) + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452*q + 971*q = 484*q + 140. Factor 1\/5*c**q + 11\/5*c - 3\/5*c**3 - 3\/5*c**2 - 6\/5.\nAnswer: (c - 3)*(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 19 = -8*l. What is the smallest common multiple of ((-90)\/(-150))\/(l\/5) and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106591374 is divided by 1375.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 10*n**2 - 20*n + 31. Let t be u(-13). Calculate the remainder when 49 is divided by (0 - -3*1)*t\/(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i. Let g = -1 + 2. Is b(g) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (23 - (3 + 16 + 34)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 35, 0 in ascending order.\nAnswer: 0, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2073 and 46976944.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.211 and 79469622.6.\nAnswer: 79469624.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 163. Let t = -36 - f. Let i = -101.0000154 - t. What is i rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 33*g + 47. Let k be h(-8). Find the common denominator of -76\/15 and (6\/21)\/((-15)\/k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*p - 54*p = 879. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = 86*a + 14*a + 1290 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14820, -14683, -14546, -14409, -14272?\nAnswer: -14135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 2*s - 1. Let k be l(2). What is the remainder when (4\/10)\/(k\/(-525)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:28 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/4 + 39*l\/4 - 9.\nAnswer: -3*(l - 12)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 6*v**2 - 15*v - 17. Let s be q(-3). Solve -2*l + 20 - 46 = 4*w, 2*l - w = -s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 f, and 1 h when four letters picked without replacement from fhfchcckfcfccchffc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-6)\/a)*a**(-7)*a*a)**(-18)\/((a\/(a\/a**(2\/13)*a))\/a**(-4)*(a**(1\/4))**(-3\/11)) assuming a is positive.\nAnswer: a**(-32653\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -363\/4. Let r = 15.45 - -1.75. Let i = 17.2 - r. Which is the nearest to 1\/4? (a) i (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 3*t + 9, -5*t = -3*r + 31. Solve a - r = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16531 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -84.99999943. Round u to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (-2)\/((-16)\/44). Which is the second smallest value? (a) -0.02 (b) l (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2929 - -3085. What is the greatest common factor of 429 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 - 5*j + 6. Let v be k(-6). Let d(x) = 2*x**2 + 21*x - 9. Suppose 30*i - 88 = 38*i. Let p be d(i). Solve v = z + p*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25418 = 3*b + 6937, 0 = 4*b - 5*m - 24673. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(68) - (2*sqrt(68) + 4)**2 - (-5 + (sqrt(68) - (0 + sqrt(68))**2))) + 1 - (-3*(3 + 0 + sqrt(68)) + -4)**2).\nAnswer: -995 - 188*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r + r)*(4*r - 3*r + 0*r) + (6*r + 0*r - 4*r)*(r - r - 2*r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*y - 1575*y**2 - 46*y + 1571*y**2 - 54*y - 126*y.\nAnswer: -4*y**2 + 70*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {n: 8, u: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13825*f - 1. Let g(j) = 3*j + 199. What is t(g(k))?\nAnswer: -41475*k - 2751176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 33 = 13*n. Let w = 2 - 0. Suppose 11 = 2*q + w*v - 19, 5*q = -v + 59. What is the highest common divisor of n and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -106*q - 1502. Let p be m(-14). Let g be 2 - ((-324)\/(-15) + -1). Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5391759+-0.2\nAnswer: -5391759.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 + 103 - 27)*(5 - 4 + 0)*(-4 - m + 4) as z*m + c and give z.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 302*p. Let u(f) = 34*f**2. What is u(y(q))?\nAnswer: 3100936*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 1022, 2284, 4040, 6284, 9010, 12212?\nAnswer: 15884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5) + sqrt(405)*2) + -3)**2.\nAnswer: -228*sqrt(5) + 7229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 21*r - 90 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 9*a - 70.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 263717 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: Let o = -7\/17 - -97\/153. Let k = 15 + -10. Let l = 48 + -51. Sort o, k, l in ascending order.\nAnswer: l, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153130000 to the nearest one million.\nAnswer: -153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1040*o**3 + 58*o**3 - 454*o**3 + 3*o**3 - 2*o**3 - 2*o**3 + (-2*o**3 + o**3 - o**3)*(2 + 0 - 3).\nAnswer: -1435*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.51146ug to kilograms.\nAnswer: 0.00000004451146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from iuiiiaeiiieiuaaaui.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413281 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1076972, -2153946, -3230926, -4307912, -5384904, -6461902?\n\"Answer: -3*b**2 - 1076965*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*r - 28 = 0, 3*r - 4*r + 47 = 5*u. Calculate the remainder when 10\/3*135\/18 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/6 - 1\/(-6). Suppose 2*c - 3*g = -o*g + 35, g = -c + 17. Suppose 6*a = 2*a + c. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s - 55*s = 0. Suppose 5*m + 1 + 9 = -5*q, 4*q = -5*m - 10. Let l be 3 + q\/(-2 + s). Solve -5*n + l = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*g + 11, -5*b - 2*g + 2 - 3 = 0. Let u be (0 - (0 - b))*2. Solve -1 = -k + u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 9432078*m\/7 - 37728280\/7.\nAnswer: -2*(m - 4716035)*(m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 236143\/30 + -7875. Calculate the common denominator of x and 22\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384375 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: Three letters picked without replacement from {i: 1, d: 2, g: 1, q: 1, e: 2}. Give prob of picking 1 i and 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 102 + 23 = 0. Suppose 5*n - 9 = -84. Let m = n - z. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1894875.55 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -137*c**5 - 10*c**3 + 4748*c. Let s(w) = 1372*w**5 + 100*w**3 - 47478*w. Let b(m) = 21*g(m) + 2*s(m). Find the second derivative of b(q) wrt q.\nAnswer: -2660*q**3 - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**4\/5 - 518856*m**3\/5 - 11217666708*m**2\/5 - 22433776872*m\/5 - 11216629014\/5.\nAnswer: -6*(m + 1)**2*(m + 43237)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/3)*f))\/(f\/(f\/f**45)*f))\/((f*f**(-8)*f)\/(f*f\/(f*f\/f**(-29\/3)*f))) assuming f is positive.\nAnswer: f**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) - sqrt(539)*-2)*-2)\/sqrt(11))\/(sqrt(1008)*-1 + sqrt(1008) + (sqrt(567) - (sqrt(567) - 2*sqrt(567)))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z - 97. Calculate the remainder when u(11) is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -0.4. Let s = x + 0.1. What is the biggest value in s, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4, -5*r + 4*u + 13 = -6. Suppose 0 = -9*v + r*v - 162. Let j = v - -36. What is the greatest common factor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 + 5924*r\/3 + 3952\/3 = 0 for r.\nAnswer: -2\/3, 988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 - 5*j**5 + 4*j**5 + (-3*j**4 - j**2 + j**2)*(5 - 5 - j).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 22 = 4*i + 59, 3*s = -4*i - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -582*l - 541. What are the prime factors of k(-4)?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6287 or -370962\/59?\nAnswer: -6287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105360 divided by -4390.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/313296 and 91\/140384.\nAnswer: 25690272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.4*0.04.\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-4)*(63\/(-161))\/(-9)*2\/(-6).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -0.3 (c) -1\/2 (d) -33\/8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 782 divide 43625434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**2 - 14940768*w = 0.\nAnswer: 0, 3735192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8.8 * -0.0408\nAnswer: 0.35904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/13 + 44*r**2\/13 - 258*r\/13 + 216\/13.\nAnswer: -2*(r - 12)*(r - 9)*(r - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) + 8\/3. Let q = u + 1. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1527, -3124, -5027, -7236?\nAnswer: -9751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1138, -1223, -1378, -1609, -1922, -2323, -2818, -3413?\n\"Answer: -s**3 - 29*s**2 + 9*s - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35860 or -18?\nAnswer: -35860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53a (base 11) to base 9.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.818713072499 - 0.2.\nAnswer: -1.018713072499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5 + 32*p**4 + 44*p**3 - 72*p**2 = 0?\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 2*h + 29 = -3*h + 180, -5*n + 10 - 42 = 10*h + 33 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -116960261 and -0.4.\nAnswer: 46784104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -640 - -416. Let y be -9 + (q\/3)\/(-8). Factor -4\/3 - y*p**2 - 4\/3*p.\nAnswer: -(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 19. Let b be i(5). Suppose -t = j - 445, -5*j + 2253 = 2*t - b*t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 - 3)*(-1 - 1 + 3) - 2 + 0 + 1 - 44 - 10 + 76)*(5*q**3 + q**3 + 3*q**3) as g*q + a*q**3 + h*q**2 + i and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -21. Let x(q) = q**2 - 12*q + 11. Let t be x(i). Is t at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 852304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9*v + 14*v - 28, 0 = 2*s - 2*v + 4. Solve s*o = -0*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 268 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Let p(c) = -c**3 + 5*c**2 - c + 7. Let k be p(d). Suppose -9 = 5*n - k*b - 53, -2*b = 4*n - 46. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.996 + 172.7085484?\nAnswer: 174.7045484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 22. Let x be 6\/15 - 172\/(-20). Let s = d - x. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 36. Which is the fourth smallest value? (a) -2 (b) -0.3 (c) 27\/2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4 + 35*b**2 - 3 - 2*b + 0. What is the remainder when 16 + -25 + 436\/4 is divided by t(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**3 + 2*p**2 - 1. Let y(u) = -u**2 + 8. Let n be y(0). Suppose -n*s + 28 = -6*s. What is the remainder when s is divided by l(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1290 - -1841. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-120)*-4)\/(117\/(-30)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4637.2 + -4637. Are w and 946 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -15*o - 32. List the prime factors of (-28 - -24) + (-920)\/o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2590, -5179, -7768?\nAnswer: -10357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 218*o**4\/23 + 14638*o**3\/23 - 1531922*o**2\/23 + 26800058*o\/23 + 3967008\/23 = 0.\nAnswer: -129, -16\/109, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/46390960 and -71\/2899435.\nAnswer: 46390960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.2 + -4.95. Round j to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142837.1 centuries to years.\nAnswer: 14283710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -0.3, 1\/7, -1956, -24, -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -167300 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*g - g + 4*g)*(7 + 4 + 3) - g + 4*g + 6*g)*(-5 + 12 + 3) to the form x*g + a and give x.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -3.\nAnswer: -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 20. Let l(i) = 4 - 1 - 8 + i**3 + 6*i**2. Let m be l(-5). Solve -2*z = -k*z - m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18485943 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 - i**4 - 3*i**3)*(-293*i - 537*i + 297*i).\nAnswer: 533*i**5 + 1599*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 53 - (-12 + 2)\/(-2). Let m = -52 + p. Calculate the common denominator of -19\/8 and (-624)\/88 + m\/(-1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 7)\/(-2) - 1. Let l be (-68)\/32 + (t - 2). Suppose s - 5*m - 2 = 0, 5*m = -5*s - 21 + 1. Which is the nearest to 0.1? (a) l (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872488 and 1397.\nAnswer: 20597368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:26 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*o*u**4 + o + 16*u**4 - 22*u**2 - 3135 wrt u?\nAnswer: 16*o*u**3 + 64*u**3 - 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19*x**3 - 4*x**2 + 7*x - 8. Let k(s) = -26*s**3 - 6*s**2 + 9*s - 11. Let v(f) = 8*k(f) - 11*z(f). Factor v(j).\nAnswer: j*(j - 5)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnnt when four letters picked without replacement from {n: 4, t: 14}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -358858.9 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2217.9 + -14141.9. Is r greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2412416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = s - 126, -420 = -3*s - 5*w. Suppose -s = -2*n - 3*n. Suppose -4*k + n + 9 = 0. Calculate the least common multiple of k and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - a5bc7b6?\nAnswer: -a5bc7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-22\/9)\/(d**(1\/4)*d**(-5\/3))*((d**2)**38)**(9\/8) assuming d is positive.\nAnswer: d**(3041\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**2 - 2*b - 9. Let s be u(0). Does s = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 3915?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 - 28*s - 88. Give i(-5).\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -49, -116, -221, -370, -569?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r - 13*r - 20*r + 0 = -3, -9*f + r = -8*f + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 - -126?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*h = 11, -3*h + h = a + 1. Suppose -4*g = -a*f + 945012, 0 = 2*f + 3*g + 185740 - 563731. Round f to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 (base 14) to base 11\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -2 + sqrt(18)\/(sqrt(45)\/sqrt(5)).\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 - 57. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.052 - -2.052. Which is the second biggest value? (a) -12 (b) -0.2 (c) -5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1330339270 divided by 5\nAnswer: -266067854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = -u + 28, u + w - 11 = 0. Differentiate 0 + 1 - u + 5*y**2 - 23*y**2 with respect to y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let y(o) = 10*o. Let t(x) = -19*x + x - 2*x + 9*x. Let q(u) = -5*t(u) - 4*y(u). Give j(q(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 20*k = -438. What is the remainder when k is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -38. Let b = 6 + -3. Let u = -8015 - -8011. Put b, u, 11, q in descending order.\nAnswer: 11, b, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -14*y + 33. Suppose -2*b + 2 = 2*s, -5*b - y*s + 9 = -b. What is the greatest common factor of b and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 3*r - 5*o, -r - 8 = -5*o - 54. Suppose -r = -2*w - 2*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*s - 334 = 281 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*k - 20*k - 6068. Calculate the greatest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 3*a. What is the remainder when 12 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**3\/6 - 37*j**2. Let i(l) = -3 - 1 + 2*l - 3*l. Calculate -i(g) + 5*o(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*w + 4, -2 = -w - 0. Suppose -2*d = -11*d - 27. Calculate the least common multiple of 10 and ((-63)\/(-12))\/d*l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -4, 4, 9.\nAnswer: -4, -1, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 206\/91? (a) 0.5 (b) 1\/13 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12935?\nAnswer: 5, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 220*f*k*q**2 - 2*f + k**2*q**2 + 6*k**2 + 3*k*q wrt q.\nAnswer: 440*f*k + 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o + 8. What is the hundreds digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -20, -3*t + 663 = 6*c - 0*c. Calculate the remainder when t is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let d = f - 6. Which is the biggest value? (a) 3 (b) 3\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000126708 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -748*m + 142130. Give i(190).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (-116 + 114).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19910 and 14480?\nAnswer: 159280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40995.\nAnswer: 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1638 and 2859480.\nAnswer: 20016360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -250194119 and -250194117 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107.33958 and 8?\nAnswer: 858.71664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 225.4888?\nAnswer: 227.4888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejeeedvenndd. Give prob of picking 2 d and 1 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4375728 and 53\/69456?\nAnswer: 4375728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3660, 7349, 11026, 14685, 18320?\n\"Answer: -i**3 + 3696*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 6*f**2 + 3*f**2 + (0 - 2 + 1)*(5 - 2*f**2 - 5))*(2*f**2 - 9*f**2 + 17*f**2).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042769 to 7 decimal places.\nAnswer: 0.0000428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**4*q**2 - 19*m**4*q - m*q**2 - 7*q**2 wrt m?\nAnswer: 60*m**2*q**2 - 228*m**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 612 divide 2186292276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -143419, -286853, -430287, -573721?\n\"Answer: -143434*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 = 4*o - 34, 0 = -4*b + 20. Suppose -2*y - 2 = -o*y. Put y, -2, 0 in decreasing order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -141.\nAnswer: -141, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 8*k**2 + k + 8. Let j be d(-8). Let i be (-3 + 6 - j) + -1. Is (5\/(-15))\/(i\/(-1146)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 28 - 12 = 0. Suppose q*n = -3*o + 11, 4*o = -0*n + 4*n + 24. Is n at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 73616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17411?\nAnswer: 23, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**5\/30 - k**3\/3 - 28*k**2 + 76. Let y(m) be the third derivative of b(m). Let d(n) = 11*n**2 + 2*n. What is y(d(z))?\nAnswer: 44*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*o - 28*o + 100 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 93 and -382747521749.\nAnswer: -382747521656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 6) in base 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-972)\/(-3420)*16\/(-24)*10\/(-6).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23850483 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 2*q - 31. Let b be w(-7). Calculate the greatest common divisor of 68 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 188 + 38. Suppose g - 2*g + u = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.37 - -0.17. Let x = 2.8 - b. What is the second smallest value in 2, x, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 156 = -20. Are -4 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360406 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, u: 5, g: 2}. Give prob of sequence yu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 24 = -k - 0*g, -4*g = -8. What is the remainder when 31 is divided by (8\/(-3))\/(6\/k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 - 133. Suppose -95 + 431 = b*r. Let l = r - -1. What is the remainder when l is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*o - 1865, 3*w - 3*o - 445 = 2*w. Suppose -5*u = -w - 90. Let g be u\/77*7\/2. Solve 0 = -g*z + 6*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**3 + 47*o**3 - 28*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**12)\/c**(4\/9)*(c**(-3\/8)\/c)**(-49))**(-29) assuming c is positive.\nAnswer: c**(-116783\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 1, 0.17, -0.5, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*y - 1176 - 4258 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -337 (c) -2\/3 (d) 3 (e) -0.002 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 12 = -a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t - 40 = -57*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + -83. Calculate the greatest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44310 (base 5) to base 8.\nAnswer: 6010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/2 - 9405*g**2\/2 - 9789021*g\/2 - 3384255171\/2 = 0. Calculate g.\nAnswer: -1177, -979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1060*g**5 - 731*g wrt g?\nAnswer: 21200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/13))**(2\/19)*r**16*r*(r*r*(r\/(r*r**(-4\/11)))\/r)\/r assuming r is positive.\nAnswer: r**(47155\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from jkcmskjf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + q = -1, c + 2*c - 18 = 4*q. Suppose c*k - 4*w - 1732 = -2*k, 0 = 4*k - w - 1744. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(80) - (sqrt(5) + 5 + sqrt(45)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/13 + (-22)\/(-143). Suppose x + 0*x = l*u - 6, -2*x - 4 = -2*u. Let c(m) = -m**2 + 7*m + 3. Let k be c(7). Solve k*w + x = 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*n + 5*n + 0*n)*(1 + 4 - 3) - 5*n + 3*n + 3*n - 2 + 2*n + 2)*(-4*n + 4*n - 2*n) - 233*n**2 + 37 - 37 as q + a*n + c*n**2 and give c.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 131 + 124 - 379 - 830*x + 121 in the form u*x + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 609.783039 - 609.8. Let q = s - -0.017. What is q rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-116 + 115 - (-12 + 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55863 and 216927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -5*h**3\/3 + h**2 - 3*h - 3. Let m be z(2). Let x = -3 - m. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.6. Let q = t - 0.1938. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 339560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37643 + 77813. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than or equal to -132.855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 2 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 82*c + 800. Let s be i(-16). Solve -m + 0*m = 3*r - 13, 4*m + 4*r - 12 = s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -d + 50, 9*d = 8*d - 4*p + 42. What is the remainder when d is divided by (-5 - 180\/(-6))*1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24541608*r**2 + 4*r - 3222116 wrt r.\nAnswer: -49083216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-11)\/q*q)*q)\/q*q)\/(q*q**(-8)))**33 assuming q is positive.\nAnswer: q**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p**2 + 3*p**2 + 14*p - 8 - 4*p**2 - 3*p. Let n be a(10). Suppose 0 = 2*l - 4*z + 4, -5*l - 3*z = n*z + 10. What is the nearest to 0 in 5, l, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -623*l**2*u**3 + 253*l**2*u**2 + l*u**2 + 172*u**3 + 322*u wrt u.\nAnswer: -3738*l**2 + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/3)\/(i*(i*(i**(-7)*i)\/i*i)\/i))**(-27)\/(i**(4\/7)\/(i*i**2\/i)*(i\/i**(-1\/2))**(-13)) assuming i is positive.\nAnswer: i**(-1093\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h - 37*h + 23 - 24.\nAnswer: -28*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113809.\nAnswer: 113809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g - 78. Let w be o(0). Let t = 78 + w. Determine r so that -4\/7*r**2 + t + 12\/7*r = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 57*w + 2695. Is s(102) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41230 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 47 + 153. Let l = 6 - p. What is the remainder when l is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -13) + (1 - (-6 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 + 12628*y**4 + 276440*y**3 + 1756472*y**2 + 2734116*y + 1241460 = 0.\nAnswer: -3135, -11, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 6 = -10*g - 8 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -45*j + 48*j, 2*w = 5*j + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 20 = -5*a - 2*h, a - 4*h = 19. Suppose a*i = 8*i + 7. Is 496\/2 + i\/7 + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + 3. Suppose -g - 4*r - 19 = 0, 19 - 8 = -g - 2*r. What is the second biggest value in g, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1088) + 0 + sqrt(1088)) - sqrt(1088))**2*-1 + (sqrt(204) + 6*(sqrt(204) + 2*sqrt(204) - sqrt(204)))\/(sqrt(12) + 2*sqrt(48)).\nAnswer: -1088 + 13*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 319928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18421006.\nAnswer: 2, 31, 297113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292691 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 123*z + 2015. Give j(15).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(6\/16)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 17*x - 470. Let j be i(28). What is the greatest common divisor of 38 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8432 - 5323. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b + 182. Is m(20) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.432 from -0.062595.\nAnswer: -0.494595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-3)\/(5 + -6). Suppose -4*m + d*m + 1 = 0. Is m <= -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3614169*o**2. Let f(y) = -y. What is f(k(j))?\nAnswer: 3614169*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23256 and 18?\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 26 = -4*d, 9 = -d + 5*f + 2. Let y(u) = 2*u - 16. Let b(n) = -1. Let q(c) = -28*b(c) + 2*y(c). List the prime factors of q(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -1777660?\nAnswer: -1777654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6683245, -6683272, -6683299, -6683326, -6683353, -6683380?\n\"Answer: -27*q - 6683218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -3120140?\nAnswer: -3120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2290\/11 - 208. Let k = -3 + 4. What is the closest to 2\/5 in b, 0, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 10. Let j be b(3). Let z(n) = 4*n**2 - 24*n - 2. Calculate the remainder when 49 is divided by z(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11021479 to the nearest integer?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -5. Is k >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -10) + (9 - (5 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -665a3 (base 12) in base 16?\nAnswer: -211cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3101808 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -315 - 101 - 283 - 357 - 1311*o**4 wrt o?\nAnswer: -5244*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58264, 116528, 174792?\nAnswer: 233056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13286*a**3*t**3*w**2 + a**3 - 14*a**2*t**2*w**2 - 2*a*t*w**2 + 4*t**3*w**2 - 7*t**3 + 310*t**2 - 4*w**2 wrt t?\nAnswer: 79716*a**3*w**2 + 24*w**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22790?\nAnswer: 2, 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-1)\/(-2)*3789848\/(-258). Round b to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 - 4)) + (-47 - -38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -94626 divided by -6\nAnswer: 15771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -26*z - 3. Let v(k) = 12*k + 1. Let y(r) = -4*o(r) - 9*v(r). Let i(l) = -12*l + 10. Calculate 3*i(u) - 10*y(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72350138 + 72171766.724. Let j = 178822 + u. Let s = 450 - j. Round s to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37459383*c**2*q**3 - 1264691*c**2*q**2 - 6*q**2 wrt q?\nAnswer: -224756298*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21643 and 13961?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/13 + 8*n**2\/13 + 2*n\/13 - 12\/13 = 0. Calculate n.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 27 = -z, -5*z + 0*v = v - 51. Solve -4*i - 5*y + 37 = 0, 9 = 4*y - z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15720 and 15.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3.96. Let x = 0.26 - w. Suppose 4*i + 5*v = -0*i + 7, -19 = 5*i - 3*v. Which is the nearest to 0? (a) i (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*x + 14. Let f(r) = -r**3 + r**2 + r + 2. Let b be f(-2). Suppose -2*n - 2*n = -b. Solve j - x = n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 - 6*o**3 + 5 - 2*o + 3*o**3 + o**3 + 3*o**3. Is c(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 3, -1, 174\/11, -12, -0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 33. Suppose -3*b + 19 = -y. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -24410.\nAnswer: 97640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -117. Suppose j*s = 17*s + 16. Suppose -3*t - 3*q = -3, -t + 3 = -2*t + 3*q. Solve t*m = -4*m - s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = -5*q + 6*q - 44*g, 171*g - 175*g = -3*q + 36 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6962 - 896 = -1011*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-24)*-4*27\/(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28908 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297 - 294. Let n(a) = -a**3 + 3*a**2 + 5*a - 4. What is n(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/120 + l**5\/30 + l**4\/12 + l**3\/2 + 2*l**2. Let y be o(3). Solve y = p - 6*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 16*q + 5. Let b be z(-5). Let j(u) = 2*u**2 + 2*u + 10. What is j(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*r*y**3 + 639*r*y**2 - 2*r*y - 2*y**3 + 352*y - 11 wrt y?\nAnswer: -54*r*y + 1278*r - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 299*d - 192 - 118 with respect to d.\nAnswer: -299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**32\/(z**(-1\/4)\/(z*(z**1*z)\/z))*((z*z*z**(2\/11))\/z*z**(1\/7))\/((z*z\/(z**(-1\/10)\/z)*z*z)\/(z\/(z*z**(-3)))) assuming z is positive.\nAnswer: z**(2271\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-2*h - h - 1 + 3).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 15*j**2 + 4550*j + 5. Let v(b) = -22*b**2 - 6815*b - 7. Let o(n) = 7*i(n) + 5*v(n). Let o(p) = 0. Calculate p.\nAnswer: -445, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100103432 (base 5) in base 3?\nAnswer: 202000210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 61\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -95*n**6 + 61*n**2\/2 - 2*n - 451. Find the second derivative of j(m) wrt m.\nAnswer: -11400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*r + r - 93 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 28. Let m = 13 - c. Let z = 5.34 + m. Round z to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8488, 16979, 25482, 34003, 42548?\n\"Answer: h**3 + 8484*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2740 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/33)*w*w*w**9)\/((w*w\/w**(2\/39)*w*w*w)\/w*w*w)**3 assuming w is positive.\nAnswer: w**(-2911\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 + 190*t**3 - 433828*t**2 - 3483838*t + 3917475 = 0. What is t?\nAnswer: -757, -9, 1, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 4 - (-6)\/6. Put -2, -4, f in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (138\/360 + -2*(-4)\/(-60))*32. Solve 0 = 3*s + 3*g + 15, 6*g - x*g + 5 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*g + 1373745 = 1371609 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -106. Sort n, -5, -0.07 in increasing order.\nAnswer: -5, n, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 58*v - 17. Let x be y(-19). Factor -3\/2*r + 1\/2 - 5\/2*r**2 + 3\/2*r**3 + x*r**4.\nAnswer: (r - 1)*(r + 1)**2*(4*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*n + 135, -25 = -2*n + 3*f + 32. Let b be n\/(-16)*(-1)\/(-3)*-126. Calculate the greatest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 32. Suppose -3*i + 2*t + f = 4*t, 0 = -3*i + 5*t - 20. Suppose i = -11*y + 13*y - 6. Solve -b + 3 = 2*j, -j = y*b - 0*j + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + (sqrt(162)*-1*-4 - sqrt(162)))**2.\nAnswer: -216*sqrt(2) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 7 = 2*b + 9, 5*b = -5*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 + 13 = 5*a, 4*r = -3*a + 21. Suppose -r*j + 8 = -j. Suppose n + j*f - f - 16 = 0, -3*f - 12 = 0. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44538, -44980, -45422, -45864?\nAnswer: -46306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3750 and 8\/14*((-9928)\/1080 - -8)?\nAnswer: 33750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -0.3, 3\/10, 3, -0.08?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 997820539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 3*r - 4 - 5)*(17*r**2 + 225*r**2 + 252*r**2)*(-1 + 1 - 2 + 2*r) - 2*r + 2*r + r**4 in the form l*r**2 + b*r**4 + j + s*r + k*r**3 and give b.\nAnswer: -1975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1510819*b**2*o**2 + 2445575*o**2 wrt b?\nAnswer: 3021638*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255 and 32507859?\nAnswer: 162539295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -5, -198.64?\nAnswer: -198.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agy when three letters picked without replacement from yqgiqai?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3518092, 7036173, 10554244, 14072305, 17590356, 21108397, 24626428?\n\"Answer: -5*f**2 + 3518096*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061 * -13156.\nAnswer: 802.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -25*w**6\/2 - 48*w**5 - 141*w**4\/2 - 48*w**3 - 27*w**2\/2 - 14. Solve b(r) = 0 for r.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -40*n**2 + 39*n + 18. Let h(z) = -40*z**2 + 41*z + 21. What is -12*h(b) + 14*m(b)?\nAnswer: -80*b**2 + 54*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 12 = -54. Let n = -5 - -2. Let z = n - -3. Which is the closest to z? (a) 1 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 2852.\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 88345 and -2.\nAnswer: 88343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4\/17)*m**20*m\/m**19*m**(-33))**35 assuming m is positive.\nAnswer: m**(-17710\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 13804?\nAnswer: 124236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6948.853 millennia to months.\nAnswer: 83386236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8877 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 15, -4*d - 1 = -3*q + 4*q. Is d*-26*65\/(-10) 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 1748764018?\nAnswer: 2, 83, 10534723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-70)*(-4873)\/242. Let p = -17\/308 - h. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172191482 to the nearest integer?\nAnswer: 13122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*u + 2*t + t, 5*u = t + 46. Let g be ((-2)\/(-3))\/(u\/45) - 3. Let l be 14\/(-6) - 5\/(-15) - g. Put 1, l, 10, 0 in descending order.\nAnswer: 10, 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2068\/(-282) + (-10)\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28257 + (-13 - 8))*(-2)\/6?\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Suppose -s = g*p, 2*s + 5 = -2*p + 1. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + a + 15. What is the units digit of s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474 (base 9) to base 6.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3978*v - 99443. Calculate a(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c + 2646 = 62*c + 15*c. Solve 35 = -c*h + 13*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hopm when four letters picked without replacement from polphpmpmh?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 23354674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-84) - 20765\/(-249180)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/180 + 7*g**5\/90 + 5*g**4\/12 + g**3 + 8*g**2. Factor k(y).\nAnswer: 2*(y + 1)*(y + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(38)*-2)\/sqrt(2) - (-2 + (sqrt(1216) + 2)**2).\nAnswer: -1218 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = 2*s + 8, -5*s - 11 = -2*i. Solve -2*q - 3*v = -0*v + 7, 4*q = -i*v + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -385226 and -6.1?\nAnswer: 385219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 200?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 7:13 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2242*n + 1625*n - 4699*n)*(-n**3 - 3 + 3).\nAnswer: 5316*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07655 and 0.2.\nAnswer: -0.01531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b + 141 = -b + 996 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83581 = 6*y + 83575 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - 8.14. Let l = i - -6. Let u = 0.3017 - 1.3017. Which is the nearest to u? (a) -12 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 31. Suppose -3*l - 4*m = 36, -m = -2*l + 3*l + 13. Let o = r + l. Solve -12 = o*k + j, 5*k = -j + 3*j - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3628)\/(-14) + 1\/28*-4?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/8 - 177*j**3\/8 - 315*j**2 + 675*j\/2 = 0 for j.\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -20. Let u = q + 35. What is the least common multiple of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77.93 + 2.3676209\nAnswer: 80.2976209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 - -35. Let y = -289\/2 - f. Is y <= -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:49 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 663437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320954 is divided by 4635.\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 18 = -4*q + g, 21 = 5*q - 3*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-4 - -3)\/((-12)\/21)). Let t = 163\/392 + -2\/49. Sort d, 2\/7, t in decreasing order.\nAnswer: d, t, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*a - u - 2*u, 0 = -4*a + 3*u + 48. Does 3 divide a*(3 + -5 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 104. Let g be j(0). Let i = 307 - g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d. Let k(a) = 694*a. Calculate k(y(u)).\nAnswer: 10410*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267 - -1340. Suppose -m + 4452 = -7*m. Let f = m + g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47991 = -3*l - 4*d, -10*l + 11*l = -5*d + 15986. List the prime factors of l.\nAnswer: 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(3\/7)\/v)))*v**(-5))\/(v**(-1\/3)\/((v**(-5)*v)\/v)))\/(v\/((v\/(v\/(v\/v**2)))\/v)*v**15*v)**(4\/25) assuming v is positive.\nAnswer: v**(-5846\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13.26 times -0.1\nAnswer: -1.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {x: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2266, -4575, -6904, -9259, -11646, -14071, -16540?\n\"Answer: -y**3 - 4*y**2 - 2290*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -239758111.76 to the nearest 1000000.\nAnswer: -240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 338499241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 501 and 17676.\nAnswer: 2951892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/15 + 1294*f**4\/15 + 22934*f**3\/15 - 238726*f**2\/15 + 224732*f\/5 - 39840 = 0. Calculate f.\nAnswer: -25, 2, 3, 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roooooooroooo. What is prob of sequence roo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -18. Let b(k) = -6*k + 2. Suppose -4*m + 6 = -6. Let p be 11\/m + (-2)\/3. Let q(t) = -5*t + 2. What is o*q(f) + p*b(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36902093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 368. Let a = -42 + u. List the prime factors of a.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800261787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1130a64 (base 11) to base 13\nAnswer: 543308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -7, 0, 11?\n\"Answer: 2*y**2 - 3*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q*y**4 + 30*q*y**3 - 23*q*y**2 + 34*q*y - 11*q + 5629*y**3 - 4*y**2 - 4*y wrt y?\nAnswer: 144*q*y + 180*q + 33774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777531.\nAnswer: 7, 197, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -20. Let y(v) = -48*v + 65. Give -5*d(g) - y(g).\nAnswer: 48*g + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:38 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/12)\/(2\/12). Let s be (-2 - 1*y) + 10. Let v be ((-5)\/((-10)\/s))\/2. Solve 2*b - 7 = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/8)\/z*z*(z\/(z**(-2)*z*z))\/z*z*z)\/(z*z**2*z**(-4\/9)*z))**9)**(1\/26) assuming z is positive.\nAnswer: z**(-121\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 9*c - 6. What is the least common multiple of 11 and s(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 219450412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.1233 at least -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkzkkkzzk. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from tpuppqtuq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**4 - 216*f**3*g**3 + 2*g**3 - 22*g**2 + 18 wrt f?\nAnswer: 4*f**3 - 648*f**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -645364.\nAnswer: -1\/645364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/4)\/(24\/(-32)). Let -3*a**3 - 3*a + 2*a**5 + 2*a**2 + 1 - 3*a**4 + 5*a**3 - h*a**5 + 5*a**5 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.66 - -19. Let o = -0.34 + f. Which is the biggest value? (a) -1\/7 (b) 0.4 (c) -3\/8 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11560571, -11560567, -11560563, -11560559, -11560555, -11560551?\n\"Answer: 4*c - 11560575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119064090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.31, -3663, 3?\nAnswer: -3663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31148 or -31149?\nAnswer: -31149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -67241 (base 8) to base 14\nAnswer: -a46d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3*s - 4. Let n be t(-4). Suppose n*u = 4*u - 36. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and 0.09.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.8, 8325 in decreasing order.\nAnswer: 8325, -1\/2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2*t**3\/3 + t**2\/2 - 4*t + 4. Let c be m(-2). Let n = -1 + 1.2. What is the biggest value in c, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*k + 5 - 17, -5*k - 2*m = -6. Let y be k - (-128 - (-2 - -1)). Let l = y - 43. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10107 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88219336?\nAnswer: 2, 11027417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/18*-3*2. Let d(g) be the first derivative of 1\/4*g**4 - z + 0*g**3 - 2*g + 1\/2*g**2. Give d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 134 in ascending order.\nAnswer: -19, -2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321496 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*h**4 + 173*h**3 + 348571*h.\nAnswer: 2100*h**2 + 1038*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((1*(-1)\/12)\/(15402\/41072)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -39*o + 15*o + 129. Solve 5*j + 15 = -c, 4*j + 6 + o = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*g + 2580 = -201*g. What is the greatest common divisor of g and 258?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g + 32. Let q be u(-5). Suppose -q*h + 16 = -182. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*u - 5*u. Solve 0 = o + 4*o + u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o - 15*o - 2622 + 2960 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + 52*b**2 + 24*b - 632. Let o be i(-25). Suppose 7*f = 3*f - 2*z + 2664, 0 = 5*f - 4*z - 3330. Calculate the highest common factor of o and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -13\/84729591 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 145 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -114.5. Let u = -26 - l. Let y = u - 36. What is y rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 a when three letters picked without replacement from {n: 3, a: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 764524, 3058110, 6880754, 12232456, 19113216, 27523034, 37461910?\n\"Answer: 764529*m**2 - m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, -4, -44, -70, -76, -56, -4?\n\"Answer: n**3 - 2*n**2 - 49*n + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/17)\/k*k*k**19\/k assuming k is positive.\nAnswer: k**(301\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4*s + 3*s)*(1 - 3*s**2 - 2593*s + 5201*s - 2638*s).\nAnswer: 3*s**3 + 21*s**2 - 91*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 5:00 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let n(u) be the first derivative of -u**4\/12 - u**2 + 1. Let a(z) be the second derivative of n(z). What is a(w(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12057?\nAnswer: 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000441327919 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9676*f + 3963*f - 265*f + 2623*f.\nAnswer: 15997*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*u - 15, 5*w = 2*u - 4*u - 15. Let l be 13 + (-5 - -2)\/w. Solve 2*g + 1 = -g - 2*h, -l = -3*g + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2*j + 4 - 6)*(39 + 36 + 103) to w + g*j and give w.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14509, 57990, 130443, 231868, 362265, 521634, 709975?\n\"Answer: 14486*n**2 + 23*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = 2*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -151*q**2 - 6*q - 20. Let b(z) = -76*z**2 - 3*z - 9. What is -7*b(r) + 3*n(r)?\nAnswer: 79*r**2 + 3*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45942*m**2 + 69569*m wrt m?\nAnswer: 91884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 38*k - 35. Let x be p(12). Suppose -x = -3*a + 2*t, 2*a - 183 = -0*t + t. What is the remainder when a is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:29 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y**2 - 6*y - 6. Suppose 21 = 5*l - 14. Calculate r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -2 (c) -177\/28 (d) 14 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.712 - -0.712. What is the nearest to -1 in 4\/7, p, -0.105?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 136. Let g = -108.99914 + c. Round g to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {z: 2, l: 7, m: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-252)\/(-54))*5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1257 + 389 - 1361)*(1 - z + 2*z + z).\nAnswer: -4458*z - 2229","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68512571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-20) + 238\/4. Calculate the common denominator of -17\/22 and ((-3)\/4)\/(3\/z).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*x + 179 = 0, 3*c - 2*c - 51 = -2*x. Suppose -m + c = l - 10, -5*m = 2*l - 270. What is the remainder when 204 is divided by m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54\/185 - 4\/37. Let o be (5 - 4)*(7 + -12). Let h be 1\/(4 - (5 + o)). Which is bigger: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 16 = -5*o + o, 2*m + 3*o = -12. Solve w - 1 = -m*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from ocpzk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 41 = -2*s, -3*s = -4*v + 3*v - 94. Suppose -3*x + 28 = p, -s = -2*p + 2*x + 15. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -1 - (-10850 + -3). Let l be (p\/(-78))\/((-11)\/2). Let d = l - 336\/13. What is the third smallest value in 5, -1, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185*2\/(-1)*(35\/(-350))\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*h**3*n + h**3 - 10*h**2*n - 9*h*n wrt h.\nAnswer: 372*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116.908 + 117. Let j = x - 0.196. What is j rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -202251, -401223, -600195, -799167?\n\"Answer: -198972*c - 3279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115342936 a multiple of 4504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -36, -73, -134, -225?\n\"Answer: -g**3 - 3*g**2 - 3*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeehehhjhheehkehh. Give prob of picking 1 h and 1 j.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*m = -229*m - 14760. Calculate the greatest common divisor of m and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Suppose h = -0*d + 5*d. Solve d = 4*z + 1 - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2 + o**2 - 105831*o + 2193 + 105831*o + 796*o**3 wrt o.\nAnswer: 2388*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let z(p) = 3*p - 6. Let j(s) = 15*q(s) - z(s). Let k be j(-3). What is the remainder when 9 is divided by (k\/75)\/((-2)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z + 10*z + 32*z + 14 + 12. Let n be (231\/(-22) + 10)\/(2\/(-92)). Is f(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768831949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Give o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10\/7)*d*d)\/((((d\/((d*d*d*d**5*d)\/d))\/d)\/d*d)\/d*d))\/(d\/d**(-6\/11)*d**10) assuming d is positive.\nAnswer: d**(-229\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 8886?\nAnswer: 26658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13, 0.4, -2, -0.1, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 12*f**2 + 582*f + 188. Calculate y(19).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 448 + -656. Let h = -9735 - -9734.9. Which is greater: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w + 1. Let i(u) = -10*u**2 - u + 2. Let m = 16 - 23. Let c be 0 + (-3 - m) + -3. Let d(x) = c*i(x) + r(x). Differentiate d(q) wrt q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let g(l) be the second derivative of 11*l**5\/30 - 15*l**2\/2 - 21*l. Let h(v) be the first derivative of g(v). Give h(r(j)).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159822 and 30472728.\nAnswer: 91418184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -242*m + 277. Is c(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 6 + -7 + 62 + -40.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Suppose j - 9 = -3*m. Suppose 3*n + n - 19 = -l, 5*l + 49 = 4*n. Solve -4*o + m = -n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g*g*(g**(2\/13)\/g*g)\/g)\/(g\/g**(2\/7))**(-33))**(2\/11) assuming g is positive.\nAnswer: g**(3226\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 592*g\/9.\nAnswer: -2*g*(g - 296)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + (-2 - -4) + -2 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38895 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 25. Suppose -i + 31 + 18 = m. Let h = i - 31. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 + f - 2. Let y be h(-3). Suppose -y*x + 6 - 2 = 0. Put x, 4, 0 in descending order.\nAnswer: 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1543 + 123346*p + 123355*p - 246703*p.\nAnswer: -2*p - 1543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56796\/(-888) - (249 + -313)?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -183*p - 10840. Determine u(-61).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/25 < 758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 - v**2 - 2*v - 2. Let o be z(-1). Suppose -158*t = -163*t + 35. Calculate the highest common divisor of o and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 divided by 272504.\nAnswer: 137\/136252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 28 + 8*j + 33 - 11 + 2. Let z be g(-6). Solve -4*q = 2*y + q + 20, -y + z*q + 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/((-21944)\/(-4454632))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -794040, -794053, -794082, -794133, -794212, -794325?\nAnswer: -794478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**6\/2 + 9*u**5\/5 + 3*u**4\/4 - 3*u**3 - 3*u**2 + 16. Let w(l) = 0. What is l?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 50*g**2 - 829*g + 39689. Give c(51).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.49 and -4.1.\nAnswer: -4.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -97?\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1702*l - 3 + 4 - 0 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -219*a**2 - 3*a - 6. Let p(f) = -109*f**2 - f - 3. Let j = -125 + 127. Let t(b) = j*g(b) - 5*p(b). Find the second derivative of t(r) wrt r.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 139\/14, 2, -21 in descending order.\nAnswer: 139\/14, 2, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31\/5 of a second?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 365*o + 231. What are the prime factors of q(4)?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**6\/15 - 7*z**4\/8 + 12*z**2 - 7. Let h(l) be the second derivative of a(l). Find the second derivative of h(w) wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 178*u**2 - 4075*u + 55. Give y(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 197*d**2 + 101*d**2 - 8 + 90*d**2.\nAnswer: -6*d**2 - 7*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7154.355 milligrams?\nAnswer: 7154355000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 9:41 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 1, i: 2, j: 2, l: 8}. What is prob of picking 1 l and 2 j?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*i, -1 = -r + 3*i - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-1276)\/632)\/(6\/8). Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145 - 8 + 107 + 36*q - 47 - 2*q**2 + 33.\nAnswer: -2*(q - 23)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393822 and 43758?\nAnswer: 393822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2)*(1 + -2). Solve -3*u - 5*t + 9 + 14 = 0, o*u - t + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 149*o + 4 - 168*o to the form t + a*o and give a.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*f + 3*f. Suppose 5*o + 5*t = -15, 2*t - f*t = -4*o - 7. Let p = -2 - o. Solve p = -x - 4*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:21 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/4)*q**(-1\/5)*q)\/((q\/(q\/(q\/(q\/q**(-5)))))\/q**(3\/5)))\/(((q\/((q\/(q\/(q**(-1\/4)\/q)))\/q))\/q**3)\/(q\/(q\/q**5)*q**(2\/11))) assuming q is positive.\nAnswer: q**(582\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -10*r + 13*r. Let j(q) = -21387*q**2 + 9*q - 14. Let f be j(r). Round f to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148103050.\nAnswer: 2, 5, 641, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-44))\/((-1)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4233*q**2 - 1865 wrt q.\nAnswer: -8466*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204\/(-68)*14*8314\/(-12).\nAnswer: 7, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8729945 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100122 (base 3) to base 2.\nAnswer: 1111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78029, 156064, 234101, 312140, 390181, 468224, 546269?\nAnswer: 624316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 7*x + 20. Determine y(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59973*u = -60041*u - 1292 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7591860381 to the power of 1\/2, to the nearest integer?\nAnswer: 87131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 2*d - 2. Let i(p) be the first derivative of -p**3\/3 + p - 19. Let y(t) = 3*i(t) + x(t). Suppose 10*j - 42 = -12. Give y(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from uuum.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131.06 - -130. Let o = -8496 + 8497. Is v >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -14*l - 5. Let b(y) be the second derivative of -5*y**3\/6 - y**2 + 8*y. Let g(u) = u + 4. Let s be g(-3). Let o be (4\/1)\/2 + s. Give o*c(p) - 8*b(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - a, -16 = -5*a - 21. Put 4, z, -1, -7 in increasing order.\nAnswer: -7, -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1690)\/72 + 2\/9 and 35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - (4 - 5)) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -4*a + 15. What is the nearest to -1\/3 in 5, a, -25?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205 - 194. Let y = r + -8. Solve 5*s = y*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o + 5*j = 31*o - 12630, -3*o + j = -9467. What is the remainder when o is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -386 equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Solve 14 = -2*x + 4*j - 10, j = p*x + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 38522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**2 + 2*j**2 + 0*j**2)*(-j - 2 + 2) + (307*j**2 + 40808 - 20385 - 20391)*(2 + 2 - 5)*(4*j - 5*j - j) as h + w*j**3 + s*j + y*j**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5039, -5040, -5041?\nAnswer: -5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122.97 - -173.97. What is the nearest to 0 in -0.5, d, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**2 + 3 - 2\/5*m**5 + 0*m**3 + 0*m + 0*m**4. Find the second derivative of z(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2*s*t + 12*q**2*t + 2*q**2 - 142*q*t + 2*s*t - s + 17*t - 2 wrt q?\nAnswer: 4*q*s*t + 24*q*t + 4*q - 142*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1362690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/62? (a) 0.5 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:12 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - -1.95. Let x = 0.009 + 0.291. Which is the nearest to -4? (a) v (b) -2\/13 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z. Let y(j) = 29*j + 1 + 29*j - 14*j. Give y(q(w)).\nAnswer: 88*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, 24, 2, 1 in descending order.\nAnswer: 24, 5, 2, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)*h**(2\/23))**10 assuming h is positive.\nAnswer: h**(-118\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1018485 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2032903.2967 + 2032692.29670326. Let n = 250.7 + -39.7. Let z = w + n. Round z to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -0.167412504032.\nAnswer: -8.167412504032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 9000*w**2 - 9000000*w + 3000000000.\nAnswer: -3*(w - 1000)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38606 is divided by 508?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5472\/1951 - -119273651\/2803587. Let t = j - 7\/479. Let n = t - 45. Which is the biggest value? (a) -5 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 5, d: 2, e: 1, t: 1, y: 3}. What is prob of sequence vdyd?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131\/304 less than or equal to 2\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)**(-44)*((r\/(r\/r**1)*r)\/r)**(-19\/4))\/(((r\/r**(3\/4))\/(r*r\/(r\/(r*r**1))))\/(r**(2\/5)*r)**(1\/27)) assuming r is positive.\nAnswer: r**(-12143\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atzhjzzhttzttata. What is prob of sequence azj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 40*i = 41*i + 850 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/(-6) + 3)*4. Let g be 4\/(-6) - 106\/p. Solve g = -5*n - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffywkwfcyykck.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - (-6 - -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 63, -46*m = -91*m + 47*m + 3*x + 61 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + 3*h**2 + 3*h - 9. Suppose -n - 6 = n + 4*s, -5*s = 4*n + 15. Is a(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 + 9*c**2 + 3*c**2 - 14*c**2 + 2*c to the form w + r*c**2 + t*c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(304))**2 + sqrt(684) + sqrt(684) + 0.\nAnswer: -20*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8719530 and -97\/18.\nAnswer: 26158590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1012254760 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1575301.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9061)\/(-902) - (-1)\/(-22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, -2*w - 5*r + 2 = -3*w. Let h be ((-3)\/2)\/(1\/w). Suppose -14 = 2*a - 3*a - g, -74 = -5*a - g. Solve -h*b = -6 + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -149*r + 3877. What is s(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1127 and 167\/84.\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1043 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 24. Let b(a) = -a**3 + 3*a**2 + 3. Let v be b(3). Sort v, u, -5 in descending order.\nAnswer: u, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 + 32325*g**3 - 510834*g**2 wrt g?\nAnswer: 24*g + 193950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 - 0*4\/(-16) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/4)\/(-3)*44\/1452*-9.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22777 - 16136. Calculate the remainder when j is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8794\/17 - 518. Let z = 134\/51 - t. Determine f so that -2\/3*f**3 + 10\/3 - z*f**2 + 2\/3*f = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 14) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 78 - 15*l**3 + 40 + 37 - 2*l**2 as m + z*l**2 + c*l + f*l**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5632\/3168 + (-3320)\/1908.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = -5*x + 2, 2*x + 6 = 0. List the prime factors of 558 - -10*(-4)\/32*k.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxeb when four letters picked without replacement from {q: 3, c: 4, z: 2, x: 1, e: 2, b: 2}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 8)*4\/10. What is the fourth biggest value in 2, m, 60, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171090 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 294 = 2*k, 0*z + 3*z + k - 176 = 0. Suppose -b = 15 - z. Let n = b + -27. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16298.948 and 0.23.\nAnswer: 16299.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-3*y - 2*y + 4*y)*(-4*y**2 + 2*y - 2*y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1862\/(-1463))\/(35\/110)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -283.419848 to one decimal place.\nAnswer: -283.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27954 is divided by 5559.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -732, -733, -734, -735?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 5*d - d)*(124*d**2 - 171*d**2 + 387*d**2)*(-2 - 2 + 1).\nAnswer: 2040*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0132 + 0.0868. What is the third smallest value in f, -2, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b\/b**(-3\/5))\/b))**(1\/5)*b**(1\/9)*b\/(b*b**(-10)) assuming b is positive.\nAnswer: b**(2248\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s*s*s*((s*s**10*s)\/s)\/s*s)*s*s)*s\/(s*s*s**(-9)\/s*s*s*s) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(-8)\/(-4). Let r be ((((-4)\/106)\/(-2))\/s)\/(-1). Is r at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = 74 - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0718 + 76.0226.\nAnswer: 76.0944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48048 is divided by 261.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 4\/9*i**3 + 7\/3*i**2 - 7\/6*i**4 - 3 - 4\/3*i. Suppose s(t) = 0. What is t?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.64 + -43.64. Which is the closest to -2\/5? (a) q (b) -3\/2 (c) -0.21 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2. Let j(q) = 38*q - 37*q - 4 - 26*q. Give h(j(r)).\nAnswer: -1250*r**2 - 400*r - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r. Let n(o) = 44 + 43 + 48 - 11*o - 135. Calculate -n(c) - 2*z(c).\nAnswer: -2*c**2 + 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:30 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 17 = 3*n, 5*c + 3*n = 3 + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8.5. Let n = -101 - -96. Which is the third biggest value? (a) t (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r - 14*r + 151*r**2 + 193*r**2 + 16540 - 16541 as l + y*r + s*r**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031 (base 5) to base 10.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/20 - 3*h**4\/4 + h**3\/6 - 7*h**2\/2 - 31*h + 2. Calculate g(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -172832 and -172833 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.8512 and 100870.\nAnswer: 100866.1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/25)\/(28\/70).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.1 - 12. Which is the closest to 0.1? (a) 1 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972433810 rounded to the nearest 1000000?\nAnswer: 1972000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/33 at least as big as -7068975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13020 (base 5) in base 7?\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.952 - 3705.\nAnswer: -3700.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*n**3 + 146*n**3 - 2*n + 2*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 73. Let w(m) = 2*m**2 + 9*m - 9. Let u(j) = j**2 + 4*j - 4. Let q = -67 - -70. Let d(r) = q*w(r) - 7*u(r). Give d(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9408028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -827, -829, -831, -833, -835, -837?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12569, 12576, 12595, 12632, 12693?\nAnswer: 12784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswsyywiywssjyywwyw. Give prob of picking 3 s.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 393. Let a(p) = -2*p - 2. What is 3*a(y) - t(y)?\nAnswer: -3*y - 399","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-459)\/(-84) - 1\/4. Which is the closest to r? (a) 1 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + -22541?\nAnswer: -22443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2045\/528 + 7\/48. Let f be 5\/(-10)*(0 - -8). Find the common denominator of v and f - ((3 - 16\/20) + 1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226948 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-5))\/((-50)\/(-125)). Calculate the least common multiple of 1 + (-3)\/w*-93 and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21914 - 21913.999715. Round u to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230207*y**2 - 466284607*y.\nAnswer: 460414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 16 = 4*a. Let w(v) = a*v**2 - 5*v**2 - v**2. Let l(b) = -b**2 - 2*b - 2. Let k(y) = -2*y**2 - 5*y - 5. Let j(u) = 6*k(u) - 15*l(u). Give w(j(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/3720 and 29\/390.\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -327 (base 13) to base 8.\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10223664 + -29883664. Round d to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 7. Suppose -5*c + 5*a - 48 = -13, 2*a = 8. Let z be (c + -4 - -3) + (-90)\/(-5). Give g(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z + 10 = 490 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 12.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 7*a + 2. Let t be b(8). Let g(o) = -o**3 + 7*o**2 - 5*o - 3. Let x be g(6). Suppose -x*l + 10 + 2 = 0. Solve 9*k - l*k = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*o - 16 + 166, -3*i - 2*o + 90 = 0. Let b = -119\/4 + i. Is -1 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 116 = 4*c - 0*m, 0 = 5*c + 3*m - 118. Suppose -3*v + 64 + c = l, 4*v - 450 = -5*l. Let r = 153 - l. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/7 - (-4)\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-2))\/(623\/267).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbbuubpbmppu. Give prob of picking 1 m, 1 b, and 2 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 26*p + 39. Give m(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q + 47. Give h(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (51\/(-24))\/(5\/(-40)). Suppose 0 = -28*v + 27*v + 306. What is the highest common divisor of g and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -268*n**7\/21 - n**4\/6 + 9*n**3\/2 - n**2\/2 + 3259*n. Find the third derivative of z(o) wrt o.\nAnswer: -32160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -1. Let q = 0.058 + 0.042. Let k be -2*2*1\/(-4). What is the nearest to k in q, h, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - c + 7, -5*c = 2*k - 0*k - 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 0. Let b = 50 - 50. Suppose -13*s + 40 - 1 = b. Solve m = -s*d - d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/3 + (-2)\/3. Let m(q) be the first derivative of -q**4\/4 - 5*q**3\/3 - 3*q**2 - 6*q + 17. Let z be m(y). Put z, 3, -3 in increasing order.\nAnswer: -3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33774700 is divided by 3414?\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5815 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -247 + 1?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*a - 8, 6 = -3*g - 0. Let l(s) = s**2 + 6*s - 4. Give l(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 16. Let q(v) = 1. Calculate -6*q(p) + s(p).\nAnswer: 3*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63720890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4302134200 (base 5) to base 7.\nAnswer: -136451542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2322, -4643, -6964, -9285?\n\"Answer: -2321*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.513 months in millennia?\nAnswer: 0.06504275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/13))\/(i\/((i**(-19)\/i)\/i*i)))\/(((i*i**(-7))\/i)\/i**(4\/11)) assuming i is positive.\nAnswer: i**(-1796\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27928993?\nAnswer: 19, 1469947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -77, 0.4, 2, -6\/85?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 69 = 102. Solve u - b = -3*l + 6*u, -4*l - 3*u = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19 + 21 = 4*i, 23 = 2*v - i. Let g = v - 8. Solve -p - g*z + z = 6, 5*p - 5 = -3*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {q: 3, d: 3, l: 13, k: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 - 159*k**4 - 1 + 156*k**4 - 2 + 4*k**3 to z + r*k**3 + t*k**2 + o*k + v*k**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -19, -70, -179, -370, -667, -1094, -1675?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:32 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffvq when four letters picked without replacement from vqqqfqqffvqqvfqvqff?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-24)\/(-32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y + y)*(351*y**2 - 107*y - 355*y**2 + 13*y) to x*y + s + o*y**2 + r*y**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.381 (b) 16\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-10) - -11) + (-2)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(1 - 1 + 2)*(-3 + 25 - 6)*(-312*w - 3 + 167*w + 156*w) to the form v + u*w and give u.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116475 and 605670.\nAnswer: 3028350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 85. Suppose f - 5*f + 136 = 0. What is the greatest common divisor of a and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554 - 11266*w + 296 - 11274*w + 258 + 22537*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-280)\/12)\/(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53211, -53221, -53233, -53247?\nAnswer: -53263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 1:32 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-5)*-170*(-6)\/(-24). Let n = j - -34. Solve n = -4*v - 21 + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4450, -4452, -4454, -4456, -4458?\nAnswer: -4460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pts when three letters picked without replacement from {s: 8, t: 1, z: 1, l: 2, p: 3, r: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-14)*8\/16 + 220668\/(-3479).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -12 + 7 + (1 + -5 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-6)\/27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(55) + sqrt(6655)*5)\/sqrt(11) + sqrt(720)*5*-5)**2)*-4.\nAnswer: -1190740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(1\/14))**36\/(g*g**(17\/5)*g*((g*g**(-1))\/g)\/g) assuming g is positive.\nAnswer: g**(2491\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 a when three letters picked without replacement from {r: 1, a: 1, e: 3, g: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, -7, 5, -32 in descending order.\nAnswer: 5, -7, -32, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 144\/357 + ((-48)\/(-28) - 2). Which is the third biggest value? (a) 12 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -29*u + 3. Let v(f) = -31*f + 3. What is -3*j(c) + 2*v(c)?\nAnswer: 25*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.069721 and -18?\nAnswer: -289.254978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235283\/173 + -1360. Let b = 829\/2076 + g. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14370 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1686, -1687, -1688?\n\"Answer: -y - 1685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2871?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14150 = -507*p - 19819 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:06 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*m - 16. Let j = m - -4. Let b be -3*(-2 - (-34)\/(-3)). What is the highest common divisor of b and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*o - 2260, 7*o = 2*o + 2*g + 2255. What is the remainder when o is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38ee6 + -af?\nAnswer: -38f95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 49 and -452 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 49.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -94 in decreasing order.\nAnswer: 4, 2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 3, 787, 0.4, -11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w - 8 = 49*w - i, 5*w - 5*i = 80 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 115351520 and -1045.\nAnswer: 115350475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1443, -2884, -4325, -5766?\n\"Answer: -1441*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = x - b - 0*b, 0 = x + 2*b - 10. What is the lowest common multiple of x and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*n = 62, 21*x - 52 = 17*x - 3*n. What is the remainder when 33 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**3 + 1276009 + 5*s**2 - 1276004 - 3*s**2. Let q(p) = 8*p**2 + 0*p**2 - 4*p**2 + 11 + 6*p**3. Calculate 9*n(c) - 4*q(c).\nAnswer: 3*c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3921273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -2.03?\nAnswer: 1.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5653804 greater than -5653807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1 = -2*r - 3, -3*r - 18 = 3*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 17, 41, 81, 143?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u + 254. Let j be c(-41). Is -1 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2, 3*v + 15*u - 35*u = 2*v - 17*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0632212015 to four dps.\nAnswer: 0.0632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19868948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 - 19370*o**3 + 53287920*o**2 + 318426007680*o + 355722295403520 = 0?\nAnswer: -2616, 3974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1211221?\nAnswer: -1212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 + 1024*q**2 + 1038*q + 8179. Give p(-511).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 60 - 118 + 58.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)*((a*a**(-16))\/a)\/a assuming a is positive.\nAnswer: a**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2789995, -5580007, -8370029, -11160067, -13950127, -16740215?\nAnswer: -19530337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 74691045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10935*j = -11016*j - 2592 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**2 + 27*p - 10. Let s = -300 - -290. Let o be m(s). What is the greatest common factor of 80 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1617.\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**5 + 390*z**4 + 1415*z**3 - 15780*z**2 - 34020*z = 0?\nAnswer: -7, -2, 0, 6, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1066 - 13791 = 216*s + 44*s + 2355 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/3 + 4\/6. Suppose -2*q = -l*q + 4. Let f(j) = -2*j**2 - 3*j**2 - 2*j**q + 5*j**2. Let y(d) = -13*d. Calculate y(f(c)).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let y be 0 + 1 + (8 - 7). Let l(b) be the first derivative of -y*b**2 - 140*b + 2 + 140*b. Calculate l(i(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75425566 a multiple of 1228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(3\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 630.1646 - 629.6. Let m = -4.02 - -4.6. Let t = b - m. Round t to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gux. Give prob of picking 1 u and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**3 + 12*h**2 + 5*h - 21. Let k(u) = -3*u**3 - 6*u**2 - 2*u + 10. Let t(p) = 2*j(p) + 5*k(p). What is the remainder when 13 is divided by t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-63) + 3\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o\/(o**1*o)*o)\/(o**(-2\/13)\/((o*o**5)\/o*o)))\/(o*o*(o**(-2\/3)\/o)\/o*o\/(o\/o**3)*o*o\/((o**(-6\/5)*o)\/o*o)*o**(-4)) assuming o is positive.\nAnswer: o**(1096\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 25*k**5 - 5*k**4 - 1375*k**3 - 4795*k**2 - 5610*k - 2160 = 0.\nAnswer: -24\/5, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1711329750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 36*v**2 - 28*v - 96. Let m(d) = 3*d**2 + 8*d - 1. Let w(y) = -f(y) + 2*m(y). Calculate w(-41).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77805.89 millilitres in litres?\nAnswer: 77.80589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*a = 3, 2*d + a - 3*a = -12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-3*d**2 - 3*d**2 + 7*d**2) - 6949*d**2 - 10599 + 10599.\nAnswer: -6951*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252)*-4)\/(sqrt(162)\/sqrt(3)))\/((sqrt(5400)*-2)\/(sqrt(45)\/(sqrt(25)\/sqrt(5)))).\nAnswer: 2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49\/1635 - -4\/109. Let h(b) be the second derivative of 6*b - 1\/90*b**4 + c*b**2 + 0*b**3 + 0. Factor h(z).\nAnswer: -2*(z - 1)*(z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -139*f**2. Let i(m) be the first derivative of 2*m**2 - 1805. What is j(i(c))?\nAnswer: -2224*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317770029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -858 (base 15) to base 4.\nAnswer: -131123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5443*r + 16320. What is l(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.5 (b) -2 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 9.5. What is the biggest value in y, 3\/5, 0.04?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = -9. Suppose 5*n - 109 = -j. Let d be (4\/(-10))\/((-2)\/n). Solve -2*c + d = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 13*u**2 + 143*u + 41. Calculate x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**2 - 1. What are the prime factors of w(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 103*u. Suppose 3*l + 12 = -l. Let n be k(l). Let h = n + 520. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 123132328*w + 947598137418724.\nAnswer: 4*(w - 15391541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 1416932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - -6 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(-1))))\/(((s*s**(2\/15)*s)\/s)\/s)*s**1*s*s**17)**(1\/21) assuming s is positive.\nAnswer: s**(313\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.45? (a) 1 (b) -3 (c) -2 (d) 211 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829 = 14*d + 255. Let i(s) = s**3 - 8*s**2 - 16*s + 19. What is the remainder when i(10) is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -418, -3, -14637\/8, 0 in ascending order.\nAnswer: -14637\/8, -418, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/5022 and -119\/10044?\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*x. Let j be -5 - x - 95\/(-19). Factor 12 + 6*d**2 + j*d**3 - 2*d**4 - 6*d**3 + 24*d - 2*d.\nAnswer: -2*(d - 2)*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0.7, 158 in descending order.\nAnswer: 158, 72, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 136\/6 + 2\/(-3). Suppose -2*c - 28 + 4 = 0. Let b = w + c. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -17 + (-20 - (-21 - 9)) - 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 2 + 6)*(0*x**5 - x**5 + 2*x**5).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 37 - -16 - (-62)\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (622 - 811*f - 315 - 307)*(-299 + 299 - 22*f).\nAnswer: 17842*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -146?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 527863482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 7473625349\nAnswer: -7473625359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 7*a + 7*a - 24*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -90ebe2 (base 16) to base 14\nAnswer: -13932dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 1, 0, 2, -8, -7, 3 in descending order.\nAnswer: 57, 3, 2, 1, 0, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316 + -311. Factor -2*r**4 - 2\/5*r**n - 16\/5*r**3 + 0*r + 0 - 8\/5*r**2.\nAnswer: -2*r**2*(r + 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.02982us in seconds?\nAnswer: 0.00001602982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8853 - 0.1147. What is the fourth biggest value in 2, -1\/4, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Let w = 2 - d. Let a(k) = -10*k. Let o(s) = -7*s. Let m(v) = -5*a(v) + 7*o(v). Determine m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -664139 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -43, -3606\/113 in descending order.\nAnswer: -3\/4, -3606\/113, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67196419 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1168\nAnswer: 3\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 17*n. Let d(s) = 2*s. What is d(i(f))?\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 130 = 24729*f - 24726*f, 5*f + 2*v = 223 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17226 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:19 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1825404 or -14\/3?\nAnswer: -1825404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:05 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 168, 0.08, 5 in descending order.\nAnswer: 168, 5, 2, 0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + 16\/10. Let t = 2 - g. Let c = 8 - t. Solve 4*k - 4*s + c = 0, 7*s + 10 = -k + 4*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70933 or -70951?\nAnswer: -70951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44c613 + 3d?\nAnswer: 44c652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/3)*g)\/(g**4\/g))**(8\/5) assuming g is positive.\nAnswer: g**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 25. Suppose a = -w*o + 3*o - 7, -3*a = 0. Suppose -3*b - 14 = -4*q, -2*b = 5*q - 0*b - 6. What is the highest common factor of q and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73329 is divided by 1833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 8*u - 2*y - 1, 2202*y - 2184*y - 32 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 + 1107*k + 16032. Calculate x(-14).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 772000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678966297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(5 + (sqrt(1008)*2 - sqrt(1008)) + -4 + (sqrt(1008) + sqrt(1008)*-1)**2 + 2 + 1).\nAnswer: 80 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -7, -4, 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1117, 1116, 1115, 1114, 1113?\n\"Answer: -n + 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 232\/(-58)*(1 - (-14)\/(-8)). Solve 10 = w - m*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**2 - 42*s - 3. List the prime factors of n(26).\nAnswer: 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 101?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 7, 12, 19?\n\"Answer: i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 1355671.\nAnswer: -1355676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95, 136, 183, 236, 295, 360, 431?\n\"Answer: 3*m**2 + 32*m + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from {u: 1, y: 1, e: 3, g: 9}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**5\/60 - 7*n**4\/24 + n**3\/3 - 5*n**2. Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045159 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**5\/20 - b**4\/12 + b**3\/6 - 17*b**2\/2 - 21*b. Determine h(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31519*o - 130325?\nAnswer: -31519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3110 (base 5) to base 4\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:39 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -9. Sort 0, 5, k in descending order.\nAnswer: 5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/65 (b) -5 (c) 96 (d) -2 (e) -4 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64357504 by 37592.\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1122480 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 317262 and 1265?\nAnswer: 1586310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165904?\nAnswer: 2, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:04 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 3, -0.07, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 + 5*s**3 - s**2 - 5*s = 0. What is s?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11158*t**5 - 7158*t wrt t.\nAnswer: -223160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i - 6*i + 58680. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.09880461 to 3 dps.\nAnswer: -75.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15885 + -15885. Suppose 6 = -2*p + 4*p. Let n(r) = r**3 + 8*r**2 + 6*r - 5. Let k be n(-7). What is the second biggest value in k, h, -4, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5) + (18144\/420 - 44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 24. Let c = i - 11.1. Let p = c + -1.01. Round p to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(36\/(-648))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.9 * 192.\nAnswer: 2284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28156945, -28156958, -28156971?\nAnswer: -28156984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29531527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*l - 5*x, 296*x - 76 = -4*l + 291*x. Solve 0 = -33*c + l*c - 28 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13942 is divided by 3462?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 76. Suppose -4*n + 5*n + 184 = -3*k, 2*k - z*n + 128 = 0. Let p = 88 + k. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/15 + 118*q**2\/5 + 912*q\/5 - 441864\/5 = 0.\nAnswer: -114, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 465705985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12975, -12969, -12959, -12945, -12927, -12905, -12879?\n\"Answer: 2*d**2 - 12977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2379\/7 - -339. Is -2 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -532089, -1064176, -1596263, -2128350, -2660437?\n\"Answer: -532087*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 6)*(1 + 17 - 11)*(2*p - 2*p + 3*p) to the form c*p + i and give c.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in -2, -3, 4\/783, -0.4?\nAnswer: 4\/783","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 0*y + y)*(-4 + 4 - 2*y) - 15 + 15 + 2*y**2 + (-2*y + 2 - 2)*(-y - y + 3*y) to r*y + x*y**2 + s and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76)\/16*152\/(-6). Let b = 121 - m. Let 4*z**2 + 8\/3*z**3 + b + 8\/3*z + 2\/3*z**4 = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 367, 401, 473, 601, 803, 1097?\n\"Answer: 3*i**3 + i**2 + 10*i + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 301\/4*y + 133\/2*y**2 + 23\/2 + 11\/4*y**3.\nAnswer: (y + 1)*(y + 23)*(11*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 11*h + 16. Let z be m(14). Let i = z - -52. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 - -150. Suppose -6 - 30 = -6*y. What is the remainder when 26 is divided by (-8)\/y*w\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 + 11*n**3\/4 + 121*n**2\/2 - 72*n - 2016.\nAnswer: -(n - 21)*(n - 6)*(n + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:04 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 6*d - 27. What is j(-7)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from {e: 4, h: 1, a: 2, q: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 4. Let p(w) = w + 3. Let x be 6*(-3 - (-4)\/1). Let m(f) = x*p(f) - 5*z(f). Let u be 2\/6 - (-42)\/9. Calculate m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309\/6 + (-4056 - -4006).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 39 = -5*k. Let v(m) be the first derivative of m**4\/4 + 14*m**3\/3 + 13*m**2\/2 + 2*m + 3. Let j be v(k). Solve -2*i = j*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 8*p - 12. Let y be n(-5). Let v(q) = 2*q - 7. Let j(o) = 2*o - 8. Give y*v(i) - 2*j(i).\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -924*s**4 - 60*s**2 - 8 wrt s.\nAnswer: -22176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115254 - -115246.6117. Round r to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -889, -899, -907, -913, -917, -919?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -166208, -166162, -166116, -166070, -166024, -165978?\n\"Answer: 46*c - 166254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8743945 to the power of 1\/2, to the nearest integer?\nAnswer: 2957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 767, 4127, 7487, 10847, 14207, 17567?\nAnswer: 20927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -100*y + 95*y + 16473, 4*y - 3*h - 13186 = 0. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137\/56, 4, -6, -3, -5, -10, 2 in ascending order.\nAnswer: -10, -6, -5, -3, -137\/56, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11445 + -23?\nAnswer: 11422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z - 5*z + 63 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*i)*(2 - 3*i**4 + i**4 + 4*i**4).\nAnswer: 4*i**5 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -576765.35 to the nearest 1000.\nAnswer: -577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -8, 4\/3, 24.44, 7?\nAnswer: 24.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 48. Suppose -5*d + 395 + 90 = 0. Let b = d + -92. What is the remainder when l is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 15*d**2 + 14*d + 3. Let z be j(-14). Let g be ((-1)\/2)\/(2\/4). Which is the nearest to g? (a) -1\/5 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:08 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2417*d**2 + 5*d + 5. Let g(a) = -13293*a**2 + 28*a + 28. What is 5*g(z) - 28*u(z)?\nAnswer: 1211*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/101 + 191\/7373. Let q = -3451\/1460 - z. Find the common denominator of (2 + 5)*26\/20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -68 and -54.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*u - 203, m = -3*u - 18 + 93. Suppose -3*w = -6*w + m. Suppose 6*k - 1 = 17. Solve 0 = 5*r - f + w, -4*r - 26 = k*f - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-8)\/6)*2. Let u(x) = -x**3 + 7*x**2 + 9*x. Let w be u(8). Suppose -3*j + w = -2*j. Solve i + i + 30 = -5*b, 4*i + j = v*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 50 + 17 - l - 32.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615775655.\nAnswer: 3, 5, 13, 8286029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-39)\/13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - a**2 + 9*a - 2 + 5*a**2. Calculate f(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4457474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-72) + (-5)\/90\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12793137*y**2 + 475*y**3 + 12793137*y**2.\nAnswer: 475*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = -2*n, 5 + 0 = -m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.81888 rounded to 2 decimal places?\nAnswer: -26.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 48, 58, 84, 132, 208, 318, 468?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*v = 6, -2*v + 3 = -0*y + 3*y. Suppose 5*o - 2377*p = -2376*p + 446, 4*p - 727 = -7*o. Calculate the greatest common factor of o and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1673586?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21560 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5799.1 + -5799. Which is smaller: i or 395\/12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10415 + -21765\/2. Let v = -391 - 67. Let b = v - h. What is the common denominator of b and -59\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-444)\/(-16))\/((-6)\/16). Let k = 275 + y. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 441, 440?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 3*k**2 + 289*k**4 + 2*k**2 - 292*k**4 - 2*k**3 - k**3 - 1 to the form u*k**2 + o*k**4 + d*k**3 + y*k + p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -794, -323, 5, 19 in ascending order.\nAnswer: -794, -323, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 = 5*j - 5*z, 2*j + 5*z - 6 = 0. Suppose 4*a = 3*w + 36, -j*a + 3 = 5*w + 5. Suppose n + 110 = a*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 637 - 337. Let y = 299.9999912 - d. Round y to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*6 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 - 0 - 10172\/4352*-4 and -17\/4.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373622201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k**(-2\/9)*k)\/k)*k\/(k*k**(-7)*k)*k**(5\/3)\/(k**(-8)*k) assuming k is positive.\nAnswer: k**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w - 3*c + 13, 4*c + 28 = 5*w. Solve -2*x + 3*x + w = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2)\/(5\/2). Let r be ((-399)\/36 + 11)*2. Which is the closest to l? (a) -0.2 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 34300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 315.94324 and 24.33?\nAnswer: 291.61324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:26 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91848 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**3 + 2910*z**2 + 20*z - 11640 = 0.\nAnswer: -2, 2, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24\/37 + 1952\/2553. Is 1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Let d = 38530\/9 + -4277. Let w = 223\/63 - d. Sort w, s, -1\/6.\nAnswer: s, w, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let c be (10\/15)\/(1 - 5\/6). Let q be (1*-2)\/c*(-66)\/33. Solve 3*g + 3 = 5*f - q, -x*f + 12 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 1:30 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 540 + -539.98768. What is d rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (846\/1551)\/((-2)\/(-22)). Let h(z) = -z**3 + 6*z**2 + 5. What is h(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*sqrt(76)\/(2*sqrt(4))*5.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 612*v - 25713*v**4 - 2081*v + 2*v**5 + 25624*v**4 wrt v.\nAnswer: 40*v**3 - 1068*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}